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nss/SOURCES/nss-3.53.1-diffie_hellman_c...

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diff --git a/gtests/softoken_gtest/manifest.mn b/gtests/softoken_gtest/manifest.mn
--- a/gtests/softoken_gtest/manifest.mn
+++ b/gtests/softoken_gtest/manifest.mn
@@ -20,16 +20,17 @@ CPPSRCS = \
$(NULL)
INCLUDES += \
-I$(CORE_DEPTH)/gtests/google_test/gtest/include \
-I$(CORE_DEPTH)/gtests/common \
-I$(CORE_DEPTH)/cpputil \
$(NULL)
-REQUIRES = nspr gtest
+REQUIRES = nspr gtest cpputil
PROGRAM = softoken_gtest
EXTRA_LIBS = \
$(DIST)/lib/$(LIB_PREFIX)gtest.$(LIB_SUFFIX) \
+ $(DIST)/lib/$(LIB_PREFIX)cpputil.$(LIB_SUFFIX) \
$(DIST)/lib/$(LIB_PREFIX)gtestutil.$(LIB_SUFFIX) \
$(NULL)
diff --git a/gtests/softoken_gtest/softoken_dh_vectors.h b/gtests/softoken_gtest/softoken_dh_vectors.h
new file mode 100644
--- /dev/null
+++ b/gtests/softoken_gtest/softoken_dh_vectors.h
@@ -0,0 +1,3399 @@
+
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+namespace nss_test {
+/* first list the primes we want to test */
+
+/* known primes */
+/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */
+static const unsigned char prime_ike_1536[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } */
+static const unsigned char prime_ike_2048[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */
+static const unsigned char prime_tls_2048[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */
+static const unsigned char prime_ike_3072[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */
+static const unsigned char prime_tls_3072[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */
+static const unsigned char prime_ike_4096[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */
+static const unsigned char prime_tls_4096[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */
+static const unsigned char prime_ike_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
+ 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
+ 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
+ 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
+ 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
+ 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
+ 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
+ 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
+ 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
+ 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
+ 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
+ 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */
+static const unsigned char prime_tls_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
+ 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
+ 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
+ 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
+ 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
+ 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
+ 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
+ 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
+ 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
+ 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
+ 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
+ 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
+ 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
+ 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
+ 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
+ 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
+ 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
+ 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
+ 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
+ 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
+ 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
+ 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
+ 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */
+static const unsigned char prime_ike_8192[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
+ 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
+ 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
+ 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
+ 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
+ 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
+ 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
+ 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
+ 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
+ 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
+ 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
+ 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
+ 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0,
+ 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
+ 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93,
+ 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
+ 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB,
+ 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
+ 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8,
+ 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
+ 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F,
+ 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
+ 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8,
+ 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
+ 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5,
+ 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
+ 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3,
+ 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
+ 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E,
+ 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
+ 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2,
+ 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
+ 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */
+static const unsigned char prime_tls_8192[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
+ 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
+ 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
+ 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
+ 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
+ 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
+ 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
+ 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
+ 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
+ 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
+ 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
+ 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
+ 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
+ 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
+ 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
+ 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
+ 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
+ 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
+ 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
+ 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
+ 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
+ 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
+ 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38,
+ 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE,
+ 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E,
+ 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42,
+ 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65,
+ 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39,
+ 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82,
+ 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0,
+ 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22,
+ 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31,
+ 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C,
+ 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16,
+ 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9,
+ 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75,
+ 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57,
+ 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE,
+ 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30,
+ 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8,
+ 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D,
+ 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06,
+ 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C,
+ 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF};
+
+/* safe primes that aren't already known. These primes should pass, but
+ * take more processing in FIPS mode */
+static const unsigned char prime_safe_1536[] = {
+ 0xf7, 0x67, 0x31, 0xc8, 0x45, 0x6a, 0xd9, 0xea, 0x53, 0x0b, 0x21, 0xc7,
+ 0x4a, 0xfa, 0x81, 0x66, 0x76, 0x5c, 0xea, 0xb7, 0xf5, 0x11, 0x32, 0x6d,
+ 0xd3, 0x4c, 0x7a, 0xac, 0x39, 0x17, 0x1a, 0x87, 0xb8, 0x00, 0xd7, 0x11,
+ 0xc5, 0xfd, 0xe1, 0xe3, 0x65, 0x4c, 0x1f, 0x42, 0x24, 0x41, 0x1e, 0x92,
+ 0x42, 0xbf, 0xb6, 0x65, 0x0e, 0x72, 0x83, 0x8a, 0xb8, 0x82, 0xa6, 0x4f,
+ 0x9e, 0xca, 0x4f, 0xd1, 0xb1, 0x13, 0xc2, 0xfa, 0x67, 0xa1, 0x6a, 0x06,
+ 0x4f, 0xaf, 0x6e, 0x16, 0xd9, 0x94, 0xd8, 0xda, 0xe3, 0x66, 0x62, 0x01,
+ 0x1f, 0x82, 0x8f, 0x10, 0xe0, 0x2f, 0x3c, 0xa3, 0x42, 0xa8, 0xbb, 0x94,
+ 0x32, 0x79, 0x79, 0x7f, 0x97, 0xf8, 0x3a, 0x31, 0xaa, 0x14, 0xc7, 0xfe,
+ 0x13, 0x96, 0x77, 0x15, 0xbf, 0x47, 0x20, 0x57, 0x11, 0xe0, 0x4f, 0xda,
+ 0x7e, 0xa9, 0x19, 0x49, 0xa1, 0x8d, 0x29, 0x76, 0x8a, 0xd3, 0x9b, 0xb0,
+ 0xbe, 0x50, 0xc3, 0x25, 0x82, 0xf9, 0xe3, 0x21, 0x8c, 0xfd, 0xa6, 0x51,
+ 0xe5, 0x36, 0x7e, 0x82, 0xb6, 0x90, 0x45, 0xe1, 0xd5, 0x72, 0x56, 0xbe,
+ 0xc5, 0x67, 0x3d, 0x13, 0x1a, 0x39, 0x7f, 0x98, 0x33, 0xfc, 0xb4, 0x7b,
+ 0xa4, 0x38, 0x71, 0x87, 0x96, 0x6e, 0xe6, 0x7b, 0x77, 0xb2, 0x65, 0xfd,
+ 0xdf, 0x27, 0x93, 0x0c, 0x3c, 0x60, 0xdf, 0xe5, 0x33, 0xfe, 0xd7, 0x4b};
+
+static const unsigned char prime_safe_2048[] = {
+ 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46,
+ 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e,
+ 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21,
+ 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8,
+ 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5,
+ 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a,
+ 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6,
+ 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4,
+ 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80,
+ 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7,
+ 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf,
+ 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92,
+ 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9,
+ 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a,
+ 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75,
+ 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5,
+ 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc,
+ 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86,
+ 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96,
+ 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31,
+ 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc,
+ 0x37, 0x8a, 0x80, 0x33};
+
+static const unsigned char prime_safe_3072[] = {
+ 0x87, 0x66, 0xdf, 0xf7, 0xec, 0x49, 0x6a, 0x9a, 0x7c, 0x96, 0x28, 0xae,
+ 0x67, 0x38, 0xab, 0xfa, 0xfe, 0x5c, 0x46, 0x7b, 0xef, 0xe9, 0x18, 0xa6,
+ 0x76, 0xb2, 0xe5, 0x0e, 0xbe, 0xb8, 0xf2, 0x80, 0x36, 0x09, 0x82, 0x44,
+ 0x7b, 0xe8, 0xe8, 0xcc, 0x89, 0x27, 0x68, 0x05, 0xe0, 0xe1, 0x37, 0xd7,
+ 0xbf, 0xdb, 0x0c, 0xf6, 0x48, 0x52, 0x17, 0x3f, 0x75, 0xc5, 0x4e, 0xb4,
+ 0x3d, 0xf8, 0x4c, 0xea, 0xb4, 0x0b, 0x06, 0x04, 0x15, 0x89, 0x7c, 0xba,
+ 0xf3, 0xf5, 0xde, 0x66, 0x6e, 0x7d, 0x30, 0xc4, 0x20, 0x05, 0xda, 0x32,
+ 0x0f, 0xff, 0x79, 0x71, 0x44, 0x9b, 0x10, 0x0f, 0xf1, 0xbb, 0x31, 0xde,
+ 0x67, 0x90, 0xea, 0x77, 0xad, 0x65, 0xd7, 0x05, 0x75, 0xab, 0x66, 0xf2,
+ 0xe6, 0x52, 0xac, 0xf2, 0xaa, 0xa7, 0xd2, 0x45, 0xd9, 0xc6, 0x42, 0x39,
+ 0x27, 0x1f, 0x46, 0x84, 0xad, 0x78, 0xb4, 0xfa, 0x84, 0xf8, 0x9b, 0x3e,
+ 0xcb, 0xc1, 0x99, 0xe5, 0x35, 0x42, 0x26, 0x05, 0xea, 0xac, 0x51, 0x04,
+ 0x4f, 0x8a, 0x98, 0x25, 0xa7, 0x46, 0xab, 0x7b, 0xed, 0xb8, 0xa9, 0x0b,
+ 0x24, 0x23, 0x83, 0x23, 0x16, 0x87, 0x64, 0x91, 0x0c, 0xbf, 0x1f, 0xbc,
+ 0xec, 0x4a, 0xdd, 0x12, 0x2b, 0x0c, 0xa9, 0x39, 0x96, 0xc4, 0xc3, 0xcf,
+ 0xa5, 0x38, 0x40, 0x0d, 0x6e, 0xd0, 0xfa, 0x0a, 0x0c, 0x3e, 0xe9, 0x75,
+ 0x0b, 0x70, 0x28, 0x68, 0xbc, 0xfd, 0xf6, 0xc2, 0x9a, 0x59, 0x91, 0x20,
+ 0x5c, 0x70, 0xfe, 0x31, 0xa6, 0x50, 0x87, 0x9a, 0x6a, 0x61, 0x20, 0x2c,
+ 0x77, 0x84, 0x81, 0xa8, 0x3e, 0xc9, 0xa8, 0x72, 0xb0, 0x53, 0x43, 0x85,
+ 0x1c, 0x9b, 0x3a, 0xdd, 0xef, 0x09, 0x7d, 0xc7, 0x68, 0xc6, 0xef, 0x08,
+ 0xce, 0x47, 0xa0, 0xdc, 0x5b, 0xdb, 0x2f, 0x2d, 0x34, 0xe3, 0xde, 0x95,
+ 0xf6, 0x6b, 0x6d, 0x5d, 0x91, 0xbe, 0x45, 0xee, 0x2d, 0x04, 0x93, 0x78,
+ 0xc7, 0xa4, 0x49, 0xcc, 0x71, 0xa8, 0x5d, 0xd8, 0x8a, 0x7e, 0x9e, 0x4f,
+ 0x10, 0xc9, 0x41, 0xd1, 0x62, 0xc1, 0x70, 0x48, 0xb5, 0x12, 0x11, 0x23,
+ 0xa6, 0xe4, 0xdf, 0x64, 0xac, 0xd9, 0xe4, 0x37, 0xc2, 0xb9, 0x23, 0xa7,
+ 0x40, 0xea, 0x7f, 0x54, 0xe3, 0xef, 0x71, 0x81, 0xb4, 0xe7, 0x05, 0x10,
+ 0xd6, 0x2b, 0xd5, 0x11, 0x84, 0x5a, 0x69, 0xa5, 0xac, 0x52, 0x6d, 0xa8,
+ 0x79, 0x27, 0xff, 0x1c, 0x02, 0xd1, 0x62, 0x36, 0x03, 0xa2, 0xa9, 0x46,
+ 0x6c, 0x4f, 0xca, 0x58, 0xf2, 0xb2, 0xed, 0x91, 0xb4, 0x9e, 0x5b, 0xdd,
+ 0xf9, 0x99, 0xb6, 0x8d, 0x70, 0x34, 0x0a, 0xc5, 0x4d, 0xd7, 0xce, 0x8b,
+ 0xf1, 0x50, 0x25, 0x89, 0xff, 0xe7, 0xf2, 0x1e, 0xb9, 0x21, 0xb3, 0x8b,
+ 0xc8, 0x42, 0x7c, 0x26, 0xef, 0x4c, 0x30, 0x8d, 0x60, 0xb7, 0x25, 0xfb};
+
+static const unsigned char prime_safe_4096[] = {
+ 0x8b, 0xdf, 0xc1, 0xa3, 0xe4, 0xbd, 0x1c, 0xb1, 0xf4, 0xb1, 0x51, 0xd3,
+ 0x8a, 0xce, 0x3d, 0x33, 0x58, 0x80, 0xa3, 0x1c, 0x7c, 0x0d, 0xbd, 0x8e,
+ 0xbd, 0xb3, 0xe7, 0x9e, 0xd4, 0xde, 0x06, 0xfc, 0x98, 0xaf, 0x01, 0x43,
+ 0x93, 0x2c, 0xfc, 0xfb, 0x92, 0x80, 0xe0, 0x6e, 0xf9, 0xf6, 0xab, 0x73,
+ 0x96, 0x8d, 0x7e, 0xc0, 0xeb, 0x26, 0x6c, 0x0c, 0x53, 0x06, 0x9f, 0x32,
+ 0x4b, 0xad, 0x53, 0xd5, 0xbf, 0x91, 0x35, 0x16, 0xfd, 0x7f, 0xba, 0x30,
+ 0xb6, 0xb4, 0x88, 0x10, 0x1f, 0x5a, 0xc0, 0x62, 0xf9, 0x7f, 0x71, 0x9b,
+ 0xb5, 0x10, 0x4b, 0x99, 0xd0, 0xf0, 0xe9, 0xc2, 0xee, 0x35, 0x24, 0xeb,
+ 0xcc, 0xee, 0x06, 0xbf, 0xa0, 0x05, 0xe4, 0x61, 0xa4, 0xa6, 0x98, 0x23,
+ 0xd0, 0xe4, 0x8a, 0x61, 0xca, 0x05, 0x8a, 0x6c, 0x98, 0xfa, 0x83, 0xc3,
+ 0x50, 0x7d, 0x55, 0x3b, 0x2e, 0xd5, 0xac, 0x14, 0x61, 0x86, 0xd1, 0xb5,
+ 0xcf, 0xc0, 0xdc, 0x69, 0x4b, 0x6c, 0x4a, 0xc5, 0xd7, 0xfe, 0xe0, 0xe8,
+ 0x1a, 0x64, 0x11, 0xdb, 0x56, 0xf0, 0x1c, 0x95, 0x5c, 0xd1, 0x6a, 0xb9,
+ 0xf6, 0xe2, 0x00, 0xf4, 0x22, 0x03, 0x03, 0x2a, 0xbc, 0x9c, 0x82, 0xeb,
+ 0x89, 0x1a, 0xdd, 0x94, 0x65, 0x02, 0x44, 0x61, 0x76, 0xc1, 0xae, 0xd8,
+ 0xca, 0xfd, 0x66, 0xf4, 0x96, 0xe7, 0x79, 0xfe, 0x3a, 0x98, 0xf1, 0x80,
+ 0x02, 0xfa, 0x42, 0xb7, 0xae, 0xeb, 0x39, 0x28, 0xc3, 0xb9, 0xce, 0x8c,
+ 0x71, 0xea, 0x14, 0x74, 0x86, 0x6c, 0x26, 0xd5, 0x15, 0x21, 0x97, 0x0c,
+ 0x82, 0x8d, 0x81, 0x84, 0xc5, 0x47, 0x10, 0x06, 0x67, 0xa8, 0x5f, 0xb1,
+ 0xc5, 0x32, 0xdc, 0x7f, 0xe6, 0x61, 0xe5, 0xeb, 0x9e, 0xa9, 0x61, 0x99,
+ 0x43, 0xa9, 0x8b, 0xed, 0xaf, 0xe4, 0x21, 0xef, 0x8e, 0x78, 0x5a, 0x61,
+ 0x55, 0x9d, 0x43, 0xdb, 0x77, 0xaa, 0xbb, 0x19, 0xea, 0x4f, 0x49, 0x53,
+ 0x80, 0xce, 0x7c, 0x9a, 0xea, 0xa6, 0x93, 0x58, 0xd4, 0xab, 0xf4, 0xe9,
+ 0x60, 0x7d, 0xca, 0xb2, 0x97, 0xa5, 0xe0, 0x92, 0xce, 0xec, 0x57, 0xbc,
+ 0xc5, 0x05, 0x76, 0x11, 0x79, 0x03, 0xe1, 0xb2, 0x99, 0xc1, 0x21, 0xd4,
+ 0x85, 0xe7, 0x6f, 0xc9, 0x58, 0xe8, 0x1c, 0x0d, 0xc8, 0x90, 0x44, 0x4c,
+ 0x58, 0x55, 0x9a, 0xee, 0xde, 0x62, 0x0e, 0xb2, 0xe3, 0xbc, 0xeb, 0x51,
+ 0x40, 0x05, 0x71, 0xfe, 0xb4, 0xe9, 0xe6, 0xf6, 0x0e, 0xd7, 0xbb, 0x1b,
+ 0xb8, 0x99, 0xe8, 0xc9, 0xda, 0x9f, 0xde, 0x3c, 0x13, 0xd9, 0x16, 0x45,
+ 0x3d, 0xac, 0xe2, 0x09, 0xc3, 0x87, 0xbb, 0x39, 0x8c, 0x6f, 0x11, 0x60,
+ 0x87, 0x1f, 0xaf, 0xa7, 0xdc, 0x12, 0x8f, 0x7d, 0x4c, 0x5e, 0x56, 0xc3,
+ 0x62, 0xdd, 0xdd, 0x03, 0x55, 0x9e, 0x24, 0x6c, 0xc5, 0x6c, 0xb8, 0x0e,
+ 0xaf, 0x11, 0xd5, 0x1e, 0x6a, 0x36, 0x9c, 0xca, 0x46, 0x34, 0x13, 0x2b,
+ 0xd1, 0xa3, 0x34, 0x2c, 0x83, 0x1b, 0x25, 0xcc, 0x17, 0x01, 0x9c, 0x68,
+ 0x53, 0xb7, 0x87, 0xed, 0x0e, 0x48, 0xd7, 0x69, 0xf9, 0xc8, 0x1d, 0x8b,
+ 0x71, 0xf4, 0x6f, 0xd1, 0xb1, 0xd5, 0x70, 0xa0, 0xd7, 0x71, 0x3d, 0x9f,
+ 0xfc, 0xfa, 0x35, 0x69, 0x25, 0xf3, 0x39, 0x79, 0xad, 0x7b, 0x01, 0xc5,
+ 0x66, 0xa5, 0xf0, 0xc7, 0x1c, 0xb6, 0x51, 0xe5, 0x02, 0x2b, 0xcf, 0xc1,
+ 0x2a, 0x91, 0x9d, 0xa5, 0xbf, 0x37, 0x37, 0xdd, 0x2e, 0x30, 0x40, 0xdb,
+ 0xbf, 0xec, 0xfe, 0x6c, 0x2c, 0xe9, 0x20, 0xee, 0x89, 0xac, 0x55, 0xaf,
+ 0x03, 0x5a, 0xba, 0x5a, 0x52, 0xfb, 0xbf, 0xb5, 0xae, 0x38, 0x20, 0xa5,
+ 0x68, 0x92, 0x5f, 0xec, 0x17, 0xa9, 0x80, 0x53, 0xf2, 0x3b, 0x0c, 0x09,
+ 0xf3, 0xeb, 0x15, 0x62, 0x8e, 0x39, 0x7b, 0x6b};
+
+static const unsigned char prime_safe_6144[] = {
+ 0xb9, 0x0f, 0xc1, 0x41, 0x4a, 0xde, 0x1a, 0x1c, 0x80, 0xa0, 0xd6, 0x39,
+ 0x81, 0x10, 0xf3, 0x09, 0xca, 0xc0, 0x60, 0x8c, 0x5e, 0x8c, 0x17, 0x21,
+ 0xa0, 0x18, 0x50, 0xd6, 0x60, 0x13, 0xfc, 0x38, 0x00, 0x26, 0xd9, 0x71,
+ 0xd2, 0x73, 0xfc, 0x5d, 0x0c, 0xf1, 0x20, 0xce, 0x76, 0x44, 0xbb, 0x8b,
+ 0x5c, 0xc8, 0x5a, 0x59, 0x0c, 0xcd, 0x48, 0xba, 0xbf, 0x86, 0x72, 0xda,
+ 0xf5, 0xbd, 0x7c, 0x1d, 0x41, 0xba, 0xe8, 0x9f, 0x8c, 0xc2, 0x18, 0x27,
+ 0xfa, 0xbc, 0xc6, 0xcf, 0xd8, 0x47, 0xf5, 0xe9, 0x71, 0xcc, 0x37, 0x34,
+ 0xc3, 0x9b, 0x5a, 0xff, 0xc3, 0x0c, 0xab, 0x1d, 0x97, 0x8c, 0x26, 0x95,
+ 0x8c, 0xf1, 0x0a, 0x5d, 0x22, 0x84, 0x5a, 0x7c, 0xf2, 0xd1, 0x8b, 0x7c,
+ 0x6f, 0x17, 0x09, 0x13, 0x00, 0xc9, 0xdf, 0x79, 0xe1, 0x6e, 0xc8, 0xf8,
+ 0xd3, 0xc1, 0xdd, 0xb2, 0xf4, 0x24, 0x2a, 0xfa, 0x5c, 0x66, 0x25, 0x2b,
+ 0x39, 0xd1, 0x39, 0x48, 0xfa, 0x76, 0x4f, 0x57, 0xa3, 0x20, 0xc3, 0x38,
+ 0x2e, 0x85, 0x67, 0x31, 0x92, 0x85, 0x3c, 0x70, 0x23, 0x14, 0xec, 0x6c,
+ 0x85, 0x28, 0xe0, 0x4f, 0xcc, 0xc6, 0x3b, 0xcf, 0x19, 0x30, 0x3b, 0x01,
+ 0xfe, 0x9e, 0x16, 0x65, 0x1c, 0xf4, 0x31, 0x0c, 0x9d, 0x23, 0x40, 0x85,
+ 0x6c, 0xdd, 0xe5, 0xf7, 0x90, 0x25, 0x69, 0x7a, 0x3c, 0xd6, 0xe4, 0x42,
+ 0x6c, 0x87, 0x04, 0x06, 0xa7, 0x82, 0x1d, 0xfc, 0x5e, 0xd9, 0x03, 0x60,
+ 0x20, 0x9a, 0x5c, 0x6a, 0xfe, 0x53, 0x0d, 0x05, 0x92, 0x1b, 0xa1, 0xdb,
+ 0xfa, 0x01, 0x2f, 0x84, 0x89, 0xe0, 0x56, 0x66, 0x7e, 0xe3, 0xe6, 0x99,
+ 0x4d, 0xb3, 0xd2, 0xf0, 0xce, 0xf3, 0xdf, 0x05, 0x0d, 0x57, 0x42, 0xcd,
+ 0xfc, 0x06, 0x3c, 0xe7, 0x11, 0x34, 0x7f, 0x51, 0x8e, 0xb7, 0x24, 0x01,
+ 0xe3, 0x26, 0x47, 0xe7, 0xd1, 0x57, 0x0e, 0x0e, 0xf1, 0x12, 0xc5, 0x79,
+ 0x2d, 0x87, 0x0f, 0xb1, 0x19, 0x6a, 0xd7, 0x44, 0x33, 0x46, 0x4c, 0xbc,
+ 0xc5, 0xc6, 0x24, 0xf8, 0x7c, 0x7a, 0x61, 0xfe, 0x72, 0x95, 0x21, 0xcd,
+ 0xd1, 0x3a, 0xd3, 0x5d, 0x77, 0x76, 0xbd, 0x86, 0xd8, 0xbd, 0x8e, 0x5e,
+ 0xf2, 0xe5, 0x20, 0x01, 0xd9, 0xb4, 0x47, 0xf7, 0x1c, 0x51, 0x70, 0x39,
+ 0x6a, 0xc7, 0xea, 0xed, 0x90, 0xd7, 0xc4, 0xd3, 0xcd, 0x8e, 0x4b, 0xd8,
+ 0x11, 0xf0, 0xd3, 0x66, 0x36, 0x77, 0xe2, 0x16, 0x13, 0xbd, 0xd2, 0x54,
+ 0x4a, 0x1c, 0x61, 0x54, 0x88, 0x1a, 0x69, 0x85, 0x9f, 0x5d, 0xc5, 0xb7,
+ 0x62, 0x7e, 0x72, 0x0a, 0x89, 0x90, 0x24, 0x8f, 0x39, 0xb2, 0xf2, 0xb6,
+ 0x12, 0x8e, 0x50, 0xb4, 0xd3, 0xea, 0xc3, 0xac, 0xea, 0x8d, 0x27, 0x17,
+ 0xbd, 0x07, 0xd2, 0x15, 0x80, 0x49, 0xe0, 0x97, 0x41, 0x16, 0xd6, 0x3b,
+ 0x24, 0xe8, 0x8b, 0xfd, 0xa3, 0x18, 0xbd, 0x52, 0x5d, 0xe2, 0x21, 0xce,
+ 0x7c, 0x6f, 0x10, 0x38, 0x70, 0x64, 0xc4, 0x15, 0xf3, 0x28, 0xc6, 0x66,
+ 0xfc, 0xd1, 0x22, 0x04, 0x80, 0x80, 0xc6, 0xc5, 0x75, 0xf5, 0xdc, 0xb0,
+ 0x40, 0x4b, 0x12, 0xfa, 0xdb, 0xd5, 0x36, 0xcd, 0x31, 0xab, 0xd7, 0x1d,
+ 0x18, 0x07, 0x9d, 0x09, 0x9b, 0x16, 0xa0, 0xfe, 0x1e, 0x6f, 0x3f, 0x34,
+ 0x5a, 0xe6, 0x70, 0x85, 0x98, 0x30, 0xd4, 0x94, 0xc5, 0xf0, 0x36, 0x35,
+ 0xa1, 0xed, 0x46, 0x63, 0x3c, 0x0f, 0xcf, 0xc5, 0x9e, 0x7c, 0x68, 0x25,
+ 0x64, 0x93, 0x30, 0x36, 0x38, 0xb1, 0x99, 0x6c, 0x37, 0xf5, 0xcf, 0x64,
+ 0x4b, 0xef, 0xa6, 0xff, 0x6a, 0xaa, 0xaa, 0xb6, 0x29, 0xed, 0x38, 0x80,
+ 0x1f, 0x58, 0x35, 0x88, 0x3f, 0x01, 0x1c, 0xc8, 0x23, 0x48, 0x37, 0xa7,
+ 0xd2, 0xb1, 0xb1, 0xee, 0x44, 0x59, 0x0a, 0xfb, 0x05, 0xd9, 0xe1, 0x5b,
+ 0x53, 0x34, 0x9d, 0x99, 0x30, 0x28, 0xa9, 0x3b, 0x8e, 0x1b, 0xac, 0x8a,
+ 0x90, 0x91, 0xc9, 0x71, 0x8a, 0xea, 0xb9, 0x11, 0xd5, 0x67, 0x87, 0x4f,
+ 0xdb, 0x27, 0x4f, 0x7f, 0xb8, 0x54, 0x7f, 0x5e, 0x18, 0x08, 0xf7, 0xf3,
+ 0x1c, 0x02, 0x3a, 0x04, 0xde, 0xcc, 0x10, 0x06, 0x7e, 0x15, 0xc3, 0x24,
+ 0x0c, 0xdf, 0x0d, 0xf8, 0x86, 0xc0, 0x4c, 0xab, 0x0f, 0x75, 0x04, 0xbe,
+ 0xf3, 0x90, 0x28, 0xd1, 0x22, 0x17, 0x96, 0xcc, 0x29, 0x11, 0x09, 0xa7,
+ 0x53, 0x42, 0xea, 0x91, 0x51, 0xaf, 0x55, 0xa1, 0x03, 0x67, 0x78, 0x63,
+ 0xb3, 0xb0, 0x0f, 0x59, 0x5d, 0x37, 0xe7, 0x30, 0x8b, 0xca, 0xa0, 0x45,
+ 0x12, 0x7a, 0xa5, 0x09, 0xfb, 0xa6, 0x99, 0xdd, 0xf7, 0xe9, 0x30, 0x5a,
+ 0xc2, 0x9d, 0x0d, 0xdf, 0x39, 0x99, 0x25, 0x0d, 0xb2, 0x57, 0xb6, 0x78,
+ 0x02, 0x30, 0xf8, 0x86, 0xde, 0x79, 0xb4, 0xbe, 0x3e, 0x53, 0xff, 0x74,
+ 0x0f, 0x4d, 0x30, 0x2d, 0xe6, 0x57, 0x4a, 0x57, 0x53, 0x3a, 0x0b, 0x19,
+ 0x86, 0xab, 0x90, 0xe5, 0x33, 0x84, 0x53, 0x7a, 0x17, 0xc5, 0xf1, 0x8c,
+ 0xc3, 0xe4, 0x11, 0x53, 0x2b, 0xb5, 0xb4, 0x8e, 0xe6, 0xd2, 0x04, 0x43,
+ 0x5b, 0x6a, 0x30, 0xc7, 0xca, 0xaf, 0x91, 0xc0, 0x76, 0x43, 0x86, 0x65,
+ 0xee, 0xcd, 0x82, 0xbe, 0xa2, 0xd8, 0x2d, 0xad, 0xeb, 0xb5, 0x1a, 0xb5,
+ 0xbf, 0xa1, 0xe7, 0x93, 0x50, 0x15, 0x08, 0x27, 0x27, 0x3c, 0xcc, 0x53,
+ 0x82, 0x67, 0xd4, 0xf2, 0x0d, 0x26, 0x60, 0x87, 0x05, 0x2e, 0xaa, 0x62,
+ 0x55, 0xcc, 0x9a, 0xee, 0x2c, 0x20, 0x23, 0x14, 0xfa, 0x5c, 0x29, 0x41,
+ 0xe1, 0x89, 0x83, 0x19, 0xc1, 0x36, 0x8c, 0xa4, 0x91, 0xf6, 0x40, 0x37,
+ 0x70, 0x2a, 0x0d, 0x82, 0xbb, 0x56, 0x6e, 0x23, 0x34, 0xb9, 0x6e, 0x33};
+
+static const unsigned char prime_safe_8192[] = {
+ 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81,
+ 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65,
+ 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14,
+ 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe,
+ 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6,
+ 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d,
+ 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36,
+ 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09,
+ 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3,
+ 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26,
+ 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c,
+ 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf,
+ 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54,
+ 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13,
+ 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad,
+ 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39,
+ 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6,
+ 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6,
+ 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00,
+ 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14,
+ 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08,
+ 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d,
+ 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d,
+ 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4,
+ 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84,
+ 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2,
+ 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d,
+ 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24,
+ 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5,
+ 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42,
+ 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9,
+ 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92,
+ 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11,
+ 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68,
+ 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf,
+ 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b,
+ 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68,
+ 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b,
+ 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1,
+ 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0,
+ 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12,
+ 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74,
+ 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6,
+ 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d,
+ 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09,
+ 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43,
+ 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83,
+ 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d,
+ 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3,
+ 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2,
+ 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad,
+ 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c,
+ 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05,
+ 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a,
+ 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4,
+ 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc,
+ 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24,
+ 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2,
+ 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08,
+ 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29,
+ 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c,
+ 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94,
+ 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f,
+ 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f,
+ 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa,
+ 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e,
+ 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6,
+ 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4,
+ 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8,
+ 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b,
+ 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0,
+ 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7,
+ 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee,
+ 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05,
+ 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e,
+ 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e,
+ 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f,
+ 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c,
+ 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78,
+ 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7,
+ 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f,
+ 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9,
+ 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27,
+ 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99,
+ 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c,
+ 0x72, 0x10, 0xac, 0x73};
+
+/* Weak primes with value subprimes. Accepted, but takes more processing
+ * in both modes. */
+static const unsigned char prime_weak_1024[] = {
+ 0xe4, 0x82, 0x09, 0x4a, 0x6b, 0xbe, 0x9b, 0x51, 0x11, 0xa0, 0x74, 0x25,
+ 0xff, 0x50, 0x1c, 0x0a, 0xd6, 0xd0, 0xbc, 0xd3, 0x24, 0x89, 0x75, 0x74,
+ 0xb3, 0xd6, 0x6b, 0xf4, 0xc7, 0x5f, 0x6a, 0xec, 0x1e, 0x3a, 0x20, 0x02,
+ 0x16, 0x75, 0xcc, 0x44, 0x4a, 0xbf, 0x5b, 0x58, 0xad, 0xfe, 0xb0, 0x18,
+ 0x6a, 0x38, 0x8b, 0xcb, 0xdb, 0xd1, 0x77, 0x42, 0xe3, 0xa3, 0x87, 0x8a,
+ 0x99, 0x2e, 0x11, 0xd8, 0xc9, 0x02, 0x84, 0x1d, 0xd2, 0x67, 0x28, 0xbd,
+ 0x8f, 0xfb, 0x56, 0xf2, 0x63, 0x8a, 0x2c, 0x7c, 0x38, 0xef, 0xa2, 0x0c,
+ 0x6a, 0x36, 0xd0, 0x99, 0x13, 0x47, 0x48, 0x40, 0xe5, 0xcd, 0xdb, 0x04,
+ 0x4c, 0xa2, 0x12, 0x3f, 0x1a, 0x9b, 0x9a, 0x0e, 0xb8, 0x68, 0x7d, 0x01,
+ 0xbc, 0x16, 0x6f, 0x51, 0x64, 0x1d, 0xab, 0x21, 0x75, 0x49, 0x12, 0x36,
+ 0xac, 0x65, 0x8b, 0xf8, 0x87, 0xd9, 0xaf, 0xd1};
+
+static const unsigned char subprime_weak_1024[] = {
+ 0xef, 0x0c, 0x17, 0x60, 0xd1, 0x91, 0x8f, 0xea, 0x4d, 0xbe,
+ 0x0a, 0xb2, 0x37, 0xcc, 0x6b, 0xba, 0x97, 0x98, 0x2d, 0x4b};
+
+static const unsigned char base_weak_1024[] = {
+ 0x5a, 0x70, 0x8b, 0xe1, 0x1d, 0xed, 0x69, 0x04, 0xd0, 0xdc, 0xda, 0x84,
+ 0x9e, 0x79, 0x56, 0x11, 0x44, 0xdc, 0xf7, 0xb8, 0x84, 0x88, 0x75, 0x67,
+ 0xba, 0x80, 0x5b, 0x7e, 0x50, 0xc1, 0x5c, 0x80, 0x59, 0xaa, 0x55, 0x24,
+ 0x44, 0x6a, 0x8a, 0x31, 0x20, 0x1a, 0xd4, 0xba, 0x5f, 0x32, 0xc6, 0x5d,
+ 0x9d, 0x0e, 0x58, 0xfc, 0xd0, 0x6c, 0x74, 0xea, 0xd9, 0xc6, 0x86, 0x9f,
+ 0x3f, 0x83, 0x0e, 0x73, 0xae, 0x28, 0x40, 0x19, 0x9f, 0x5d, 0x64, 0xc4,
+ 0xae, 0xda, 0x11, 0x3e, 0x3f, 0x44, 0x87, 0xac, 0x41, 0x1e, 0xfa, 0xdb,
+ 0x1f, 0xde, 0x09, 0x7c, 0x54, 0x7c, 0x8a, 0xe0, 0x82, 0xd7, 0x8c, 0xb9,
+ 0x61, 0xa0, 0x10, 0xab, 0xff, 0xe1, 0x1f, 0x8b, 0x9d, 0x51, 0x71, 0xc7,
+ 0xfb, 0xd9, 0xe0, 0x10, 0xc3, 0x7d, 0x88, 0xe9, 0xd2, 0x42, 0xaf, 0xda,
+ 0x77, 0x55, 0x28, 0x07, 0x03, 0x26, 0xb3, 0x77};
+
+static const unsigned char prime_weak_2048[] = {
+ 0xb5, 0x08, 0x83, 0x6a, 0x22, 0x39, 0xdf, 0x02, 0xfe, 0x73, 0x6b, 0xfb,
+ 0x0d, 0x4e, 0xad, 0x4b, 0x0f, 0xfd, 0xb2, 0x27, 0xe7, 0xd2, 0x35, 0xd4,
+ 0x83, 0xf2, 0xbc, 0x29, 0xff, 0x50, 0xf7, 0x6b, 0xb7, 0x94, 0x38, 0xff,
+ 0xdc, 0x79, 0x67, 0x9a, 0x80, 0x8b, 0xc2, 0x20, 0x4e, 0x53, 0x02, 0x2a,
+ 0x07, 0xec, 0xa9, 0xbd, 0x22, 0xd1, 0xba, 0x35, 0x31, 0x10, 0x21, 0xb6,
+ 0x4f, 0xe1, 0x94, 0x0b, 0xb0, 0xb3, 0x37, 0x20, 0x0d, 0x6a, 0xd4, 0x91,
+ 0x5c, 0x85, 0xe9, 0xae, 0x8a, 0xf2, 0x94, 0xe7, 0x44, 0xf5, 0xcc, 0x04,
+ 0x82, 0x57, 0x81, 0x21, 0x83, 0x18, 0x48, 0x2d, 0xe3, 0x1c, 0xa1, 0x7f,
+ 0xee, 0x10, 0xb9, 0xe8, 0x40, 0xfc, 0xda, 0x43, 0x7d, 0x18, 0xe4, 0x68,
+ 0x9f, 0xed, 0x5e, 0xc3, 0x1f, 0x80, 0xef, 0x5c, 0x24, 0x5e, 0x68, 0xac,
+ 0x99, 0x9c, 0x74, 0x96, 0x5b, 0xb3, 0xe7, 0xb2, 0x65, 0x78, 0xfb, 0x3c,
+ 0x11, 0x00, 0x04, 0x4b, 0x98, 0x0e, 0x8a, 0x7b, 0x38, 0x08, 0x34, 0xb9,
+ 0x6d, 0x08, 0x65, 0x17, 0x91, 0x49, 0x62, 0x47, 0x64, 0xab, 0xc6, 0xd0,
+ 0xf2, 0xcf, 0x89, 0x07, 0xeb, 0xa3, 0x5d, 0xf3, 0xa2, 0xfb, 0xdd, 0x7b,
+ 0x3e, 0x7e, 0xa2, 0xd7, 0x1a, 0x42, 0xad, 0x74, 0xbd, 0xbb, 0xcf, 0x21,
+ 0x91, 0xd2, 0x6b, 0x1d, 0x9d, 0xa8, 0x05, 0x88, 0x4f, 0xb1, 0x45, 0xa2,
+ 0x86, 0x90, 0x12, 0xfd, 0xcb, 0x25, 0xe1, 0x12, 0x08, 0x47, 0x1d, 0x83,
+ 0x2d, 0x14, 0x42, 0x20, 0x08, 0x31, 0x54, 0x2c, 0x9b, 0x49, 0xf6, 0xb6,
+ 0x2d, 0x25, 0xea, 0x28, 0xbf, 0x13, 0x2b, 0xd3, 0x45, 0x8d, 0x02, 0x9f,
+ 0xa5, 0xaa, 0xeb, 0xc0, 0x48, 0xd1, 0x06, 0xe6, 0x1e, 0xa0, 0x3e, 0x04,
+ 0x20, 0x79, 0x7c, 0xd1, 0xd0, 0xac, 0x61, 0x89, 0x6c, 0x3b, 0x88, 0xa3,
+ 0x54, 0x6c, 0x80, 0x59};
+
+static const unsigned char subprime_weak_2048[] = {
+ 0xcd, 0x9d, 0xbf, 0x88, 0xe5, 0xc0, 0x03, 0x16, 0xec, 0x9c, 0xb4,
+ 0x6e, 0x54, 0xd2, 0xbf, 0xdc, 0x05, 0x92, 0xcd, 0x05, 0x87, 0xc9,
+ 0x9c, 0x91, 0x19, 0x54, 0xb6, 0xd7, 0x1e, 0xe1, 0x0a, 0x93};
+
+static const unsigned char base_weak_2048[] = {
+ 0x36, 0xc6, 0x6e, 0x3e, 0xe8, 0x44, 0xa0, 0x57, 0x1d, 0x8e, 0x71, 0xb6,
+ 0x6c, 0x24, 0xf6, 0x1d, 0xb6, 0xa5, 0xfd, 0xe3, 0xd6, 0xc5, 0x6b, 0xe8,
+ 0x94, 0x5a, 0x8c, 0x5a, 0xdf, 0x41, 0x51, 0xe6, 0xfb, 0x76, 0x4b, 0x06,
+ 0x4b, 0x03, 0x33, 0x98, 0x15, 0xb5, 0x60, 0x43, 0xc7, 0xc5, 0xb3, 0x4d,
+ 0x58, 0x90, 0xe8, 0x63, 0xc5, 0xad, 0x5f, 0x57, 0xcf, 0x42, 0x26, 0x99,
+ 0xa0, 0x71, 0xc6, 0x73, 0x03, 0xa0, 0x45, 0xd0, 0x87, 0xf0, 0xd8, 0x9a,
+ 0xb2, 0x7d, 0xd7, 0x2d, 0x10, 0x52, 0x04, 0x36, 0x37, 0x4f, 0x9d, 0xb7,
+ 0x66, 0xdc, 0xf5, 0x76, 0xac, 0x87, 0xfe, 0x5a, 0x9d, 0xca, 0x1e, 0xfb,
+ 0x6f, 0x7f, 0xfd, 0x9a, 0xaa, 0x12, 0xcf, 0x7a, 0xdb, 0x15, 0xf3, 0xb2,
+ 0x7b, 0x17, 0xb9, 0xaf, 0x5f, 0xdf, 0x9c, 0x66, 0x29, 0x83, 0x89, 0xf9,
+ 0xf9, 0xf7, 0x4a, 0x04, 0x1d, 0x00, 0xf7, 0x11, 0x98, 0x18, 0x0a, 0xab,
+ 0x47, 0xcc, 0x3e, 0x11, 0xf4, 0xe0, 0x7e, 0xad, 0xa5, 0x67, 0xf8, 0x4b,
+ 0x1b, 0x81, 0x72, 0x8e, 0x5b, 0x49, 0x90, 0x0e, 0x01, 0xc1, 0x7e, 0x8d,
+ 0xfb, 0xa2, 0xe7, 0x92, 0xd0, 0x23, 0xf5, 0x4a, 0xe8, 0xd4, 0x51, 0xc4,
+ 0x89, 0xe8, 0x4a, 0x9f, 0xf6, 0xa2, 0xdc, 0xe2, 0x32, 0x88, 0x56, 0x2c,
+ 0x97, 0x38, 0xdf, 0xd6, 0x4f, 0xfb, 0xf8, 0xbb, 0xee, 0x7a, 0x3a, 0x05,
+ 0xa2, 0x7f, 0xbb, 0x6d, 0xf6, 0xd6, 0x48, 0xf4, 0x6d, 0x23, 0xb3, 0x93,
+ 0x7c, 0xfb, 0xd4, 0x8c, 0xa0, 0x58, 0xbc, 0xdf, 0x1b, 0x35, 0x2a, 0x56,
+ 0x80, 0x7c, 0xc6, 0x28, 0x35, 0xb6, 0x17, 0x5d, 0xa5, 0x15, 0x79, 0x7d,
+ 0x2c, 0x6a, 0xcf, 0xb1, 0xb1, 0x6e, 0xea, 0xd0, 0x4b, 0xfb, 0xa5, 0xbb,
+ 0xb7, 0x9f, 0x74, 0x42, 0xd5, 0xf3, 0x4b, 0x54, 0x40, 0xf0, 0x4c, 0x6b,
+ 0x0f, 0xaf, 0x89, 0x10};
+
+static const unsigned char prime_weak_3072[] = {
+ 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69,
+ 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3,
+ 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61,
+ 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5,
+ 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0,
+ 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26,
+ 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a,
+ 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58,
+ 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef,
+ 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef,
+ 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f,
+ 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f,
+ 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f,
+ 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce,
+ 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44,
+ 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07,
+ 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26,
+ 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3,
+ 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8,
+ 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1,
+ 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7,
+ 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5,
+ 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24,
+ 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2,
+ 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c,
+ 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82,
+ 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f,
+ 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c,
+ 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee,
+ 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c,
+ 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76,
+ 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2d};
+
+static const unsigned char subprime_weak_3072[] = {
+ 0xd6, 0xf6, 0xeb, 0x1e, 0x65, 0x44, 0xe1, 0x1a, 0x37, 0x69, 0x8c,
+ 0x60, 0x45, 0xcb, 0xcb, 0x52, 0xe4, 0x88, 0xcb, 0xad, 0xb2, 0x27,
+ 0x18, 0xfa, 0x3a, 0xcf, 0xc6, 0xf9, 0xc3, 0x03, 0xa8, 0xb9};
+
+static const unsigned char base_weak_3072[] = {
+ 0x6e, 0x65, 0xcd, 0xd8, 0xbf, 0x8a, 0x5a, 0xa1, 0x05, 0x62, 0xa2, 0x64,
+ 0x88, 0x4a, 0x49, 0x1b, 0x57, 0xa8, 0x0e, 0x2e, 0x28, 0x4a, 0xe3, 0xaa,
+ 0xa7, 0x4e, 0xc7, 0x06, 0xe2, 0xf8, 0x9c, 0xd7, 0x05, 0x05, 0x6e, 0x5b,
+ 0x89, 0xd5, 0xa1, 0x16, 0xda, 0x2a, 0x2f, 0xe6, 0x86, 0xf0, 0x6e, 0xdc,
+ 0xd0, 0xbc, 0x0b, 0x39, 0x90, 0xe3, 0x74, 0x2c, 0x02, 0x6f, 0x7e, 0x32,
+ 0x2d, 0xf6, 0xd7, 0xa2, 0xfb, 0xe9, 0xaf, 0x8b, 0xb3, 0x1c, 0xd0, 0x78,
+ 0x4a, 0x76, 0xf8, 0xbd, 0x03, 0x5b, 0x0c, 0x68, 0x65, 0x23, 0x8a, 0x45,
+ 0xf3, 0x51, 0xe0, 0xe1, 0x96, 0x57, 0x7e, 0x05, 0x6c, 0xae, 0xaf, 0xa6,
+ 0x45, 0xdc, 0xa8, 0x36, 0x69, 0xa5, 0x13, 0x37, 0x4a, 0x16, 0x43, 0x11,
+ 0xab, 0x5b, 0xb6, 0xcf, 0x86, 0xb6, 0xf8, 0x44, 0xb9, 0x76, 0xe7, 0x1e,
+ 0x88, 0x99, 0x6f, 0xfe, 0xfb, 0x5c, 0xdb, 0x59, 0x4c, 0x26, 0xdb, 0x20,
+ 0x20, 0x97, 0x47, 0xda, 0x7b, 0x1d, 0xe9, 0x18, 0x1a, 0x89, 0x07, 0x3b,
+ 0xd1, 0xc8, 0x4c, 0xfd, 0xae, 0x35, 0x4c, 0xa0, 0x42, 0x94, 0x89, 0xc0,
+ 0xae, 0x2f, 0x94, 0x49, 0xd9, 0x7d, 0xb2, 0x4c, 0x50, 0x29, 0x46, 0x14,
+ 0x9a, 0x56, 0x49, 0x7a, 0x09, 0xa8, 0x95, 0x3a, 0x94, 0x06, 0x7c, 0xf0,
+ 0xea, 0x39, 0xcb, 0x33, 0xad, 0x28, 0xd1, 0x55, 0x02, 0xf5, 0x46, 0x0c,
+ 0x92, 0x12, 0x17, 0x05, 0x60, 0x97, 0xcd, 0x2f, 0x18, 0x5e, 0xe3, 0x41,
+ 0xe6, 0x46, 0x69, 0x27, 0x7d, 0x61, 0x00, 0x1e, 0x8d, 0x74, 0xa5, 0xc5,
+ 0xcb, 0xb9, 0xbc, 0x3f, 0x7a, 0x21, 0x23, 0x22, 0x1b, 0x15, 0x50, 0xb9,
+ 0x4b, 0x3b, 0x9f, 0xd5, 0xc0, 0x8c, 0xb9, 0x9d, 0x7e, 0xf4, 0x13, 0xc9,
+ 0x64, 0xe3, 0x7b, 0x44, 0xa7, 0x10, 0xad, 0x3c, 0xaf, 0xf0, 0x07, 0x8d,
+ 0x04, 0xc9, 0xa9, 0x36, 0x10, 0xb9, 0x8d, 0x7d, 0x43, 0x24, 0x7d, 0x8d,
+ 0x3c, 0x74, 0x58, 0x02, 0xb9, 0x4b, 0xe6, 0x6c, 0xa9, 0x9f, 0xdc, 0x50,
+ 0x5f, 0x62, 0x68, 0xc7, 0x14, 0xe7, 0x88, 0x33, 0x3e, 0x41, 0xad, 0x92,
+ 0x9d, 0x15, 0xd4, 0x77, 0xb9, 0xfb, 0x18, 0xd2, 0x8b, 0xb3, 0xc4, 0x0f,
+ 0x26, 0x04, 0xa4, 0xb1, 0xc1, 0x83, 0x96, 0x17, 0x67, 0x52, 0xa5, 0xfb,
+ 0x1b, 0x70, 0x20, 0x1c, 0x8c, 0x24, 0xc4, 0x5c, 0xd7, 0xe2, 0x12, 0xe3,
+ 0x31, 0x10, 0x4e, 0x85, 0xc2, 0xd2, 0x63, 0x3a, 0x75, 0xe0, 0x9e, 0x6f,
+ 0x78, 0x19, 0xb0, 0x40, 0x03, 0x32, 0x75, 0x6f, 0xea, 0x2f, 0x90, 0xb2,
+ 0x48, 0x79, 0xa1, 0xa0, 0x61, 0xf6, 0x13, 0xf3, 0x50, 0xa9, 0xec, 0x90,
+ 0x5d, 0xae, 0x45, 0x4f, 0x1b, 0x80, 0xd3, 0x96, 0x62, 0x05, 0x5b, 0x53,
+ 0x63, 0x99, 0xe5, 0xf2, 0x1b, 0xeb, 0x3e, 0x25, 0x2e, 0x72, 0xdb, 0x1f};
+
+static const unsigned char prime_weak_4096[] = {
+ 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2,
+ 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc,
+ 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60,
+ 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8,
+ 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2,
+ 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60,
+ 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28,
+ 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae,
+ 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c,
+ 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53,
+ 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a,
+ 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44,
+ 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b,
+ 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd,
+ 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb,
+ 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e,
+ 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e,
+ 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59,
+ 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8,
+ 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88,
+ 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c,
+ 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3,
+ 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11,
+ 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd,
+ 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c,
+ 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e,
+ 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6,
+ 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd,
+ 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f,
+ 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68,
+ 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71,
+ 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c,
+ 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71,
+ 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d,
+ 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3,
+ 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75,
+ 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b,
+ 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9,
+ 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef,
+ 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd,
+ 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa,
+ 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7,
+ 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d};
+
+static const unsigned char subprime_weak_4096[] = {
+ 0xcf, 0xd9, 0x38, 0x6d, 0x5b, 0x8d, 0x82, 0x9d, 0xa8, 0xe7, 0x9f,
+ 0x21, 0x46, 0xcc, 0x15, 0xea, 0x61, 0x31, 0x13, 0x5d, 0x50, 0xcd,
+ 0x99, 0x26, 0xf9, 0x44, 0x28, 0x44, 0xc8, 0xae, 0xb7, 0x8f};
+
+static const unsigned char base_weak_4096[] = {
+ 0x55, 0xa1, 0x9d, 0x92, 0x16, 0x3d, 0x9c, 0xfa, 0xd7, 0x7c, 0x71, 0xea,
+ 0x29, 0x53, 0x9b, 0xdc, 0x8e, 0xa6, 0xbb, 0x06, 0xd5, 0x00, 0x5d, 0x6c,
+ 0x8e, 0x5d, 0x44, 0xb9, 0x13, 0x4b, 0x20, 0x92, 0x6d, 0x39, 0x9d, 0x34,
+ 0xaf, 0x9b, 0x12, 0x1d, 0xc5, 0xea, 0xb2, 0x89, 0x05, 0xa6, 0x49, 0x9f,
+ 0xd8, 0xf4, 0xba, 0x33, 0xab, 0x28, 0xf2, 0x2f, 0xf6, 0x49, 0x37, 0x0e,
+ 0xb2, 0xc6, 0x41, 0x8c, 0x91, 0x97, 0x07, 0xf8, 0xa3, 0x88, 0x12, 0x6b,
+ 0xe8, 0x85, 0x0e, 0x26, 0x0a, 0x79, 0xe2, 0x48, 0x1c, 0x5c, 0xee, 0x99,
+ 0x4b, 0xd1, 0xf7, 0xe8, 0xff, 0xae, 0x5b, 0xd1, 0xf4, 0x5e, 0x6a, 0x09,
+ 0xc2, 0xa0, 0xc3, 0x14, 0xe3, 0xc6, 0x25, 0x3e, 0xe4, 0xff, 0xd7, 0x38,
+ 0xb4, 0xf4, 0xda, 0xab, 0xde, 0x84, 0x08, 0xd3, 0x53, 0xce, 0xb9, 0x5f,
+ 0x41, 0x4a, 0x02, 0x9f, 0xe1, 0x90, 0x3a, 0x80, 0x2f, 0xc5, 0xbb, 0xcc,
+ 0x92, 0xa8, 0x76, 0xa4, 0x78, 0x32, 0x70, 0x50, 0x21, 0x54, 0x4a, 0x97,
+ 0x4b, 0x8f, 0x2f, 0x61, 0x66, 0x65, 0x57, 0x2e, 0xf3, 0x64, 0x0e, 0x7e,
+ 0xa0, 0xf7, 0xf7, 0x5a, 0x32, 0xd9, 0x88, 0xf7, 0x4c, 0x4b, 0xd6, 0x5a,
+ 0xe1, 0x82, 0xd7, 0x6e, 0x4d, 0xee, 0xa2, 0xf0, 0x4e, 0x3f, 0x26, 0xba,
+ 0xfa, 0xfb, 0xe2, 0x1d, 0x64, 0x19, 0x10, 0x77, 0x99, 0xf4, 0x02, 0x46,
+ 0x30, 0xb0, 0xb1, 0x4b, 0xb2, 0xbd, 0x2c, 0xd4, 0xf8, 0xf2, 0x7f, 0xaf,
+ 0xd6, 0x80, 0xa4, 0x16, 0x72, 0x39, 0x0b, 0x83, 0x7d, 0x1a, 0x03, 0xcf,
+ 0x0c, 0xdc, 0xaa, 0x9c, 0x21, 0x61, 0xef, 0x12, 0x92, 0xc5, 0x71, 0x50,
+ 0x7f, 0x66, 0xda, 0x28, 0x50, 0xfa, 0x18, 0x33, 0xb8, 0x86, 0x50, 0x1a,
+ 0x8e, 0x6b, 0x6f, 0xd3, 0xe2, 0x7d, 0x6e, 0x3f, 0x6d, 0x9b, 0x26, 0x33,
+ 0x98, 0x82, 0x95, 0x2a, 0xdf, 0x11, 0xf8, 0xb6, 0x05, 0x10, 0x3d, 0x39,
+ 0x23, 0x28, 0x4a, 0x35, 0x72, 0xc4, 0x7f, 0x47, 0x5a, 0x0b, 0xcb, 0xed,
+ 0x54, 0xd3, 0x81, 0xdf, 0xd7, 0x0c, 0xf6, 0xbe, 0xca, 0x8e, 0xac, 0x22,
+ 0x67, 0xd4, 0xf9, 0xcb, 0xaf, 0xe6, 0x42, 0x58, 0x97, 0x0f, 0x24, 0xdf,
+ 0xb8, 0x85, 0xbe, 0x34, 0xd7, 0x68, 0xfa, 0xbf, 0xc5, 0xcb, 0x61, 0x8b,
+ 0xbf, 0xa8, 0xf7, 0x64, 0xee, 0xf3, 0x8d, 0xf7, 0x5b, 0x6e, 0xe8, 0x07,
+ 0xa0, 0x6d, 0xb5, 0x75, 0xa2, 0x33, 0x1f, 0xe0, 0x3e, 0x82, 0xc0, 0xef,
+ 0xeb, 0x6a, 0x8a, 0xba, 0x87, 0xb4, 0x44, 0x66, 0xb2, 0xe7, 0x06, 0xa5,
+ 0x5a, 0x02, 0x26, 0xa7, 0x8d, 0x57, 0xa7, 0x28, 0x62, 0x20, 0x0e, 0x3b,
+ 0xff, 0x90, 0xca, 0x9e, 0x95, 0xdf, 0xf3, 0x63, 0x8c, 0xc0, 0xd6, 0x1b,
+ 0xaa, 0x5e, 0x66, 0x54, 0xb2, 0x77, 0x4d, 0xd4, 0xd3, 0x99, 0xeb, 0xba,
+ 0xc1, 0x3c, 0xe3, 0xf7, 0x48, 0x65, 0x9f, 0xb3, 0x0c, 0x96, 0x3f, 0x3b,
+ 0x2f, 0x10, 0x80, 0x8f, 0x59, 0x49, 0xa0, 0x26, 0x68, 0xf9, 0x8e, 0x0b,
+ 0x66, 0x6e, 0xc1, 0x57, 0x77, 0x5d, 0xc7, 0x4b, 0x3b, 0x73, 0xa7, 0x75,
+ 0x80, 0x0d, 0x93, 0x36, 0x62, 0xf5, 0x5f, 0xa0, 0x71, 0x72, 0x54, 0x33,
+ 0x3b, 0xc8, 0xee, 0x68, 0x70, 0xdc, 0x1e, 0x39, 0x04, 0x1e, 0x98, 0xd4,
+ 0x7f, 0x57, 0x0e, 0x5d, 0x6e, 0x3f, 0x27, 0xc1, 0x7d, 0x50, 0x13, 0x5b,
+ 0x31, 0xfe, 0x7b, 0x12, 0xd5, 0x42, 0xda, 0x8d, 0x0e, 0x69, 0xcc, 0xa1,
+ 0xc4, 0x90, 0xf5, 0x37, 0x13, 0x20, 0x42, 0x74, 0xea, 0x79, 0xde, 0x84,
+ 0x6d, 0x8e, 0xcf, 0x57, 0x0b, 0x9f, 0xa6, 0x1d, 0xbe, 0x42, 0xb2, 0x47,
+ 0xf8, 0x7e, 0x51, 0x2e, 0x8b, 0x5e, 0x7d, 0x3d, 0x98, 0x1e, 0x43, 0x2b,
+ 0x32, 0x2f, 0xcb, 0x64, 0xd9, 0x43, 0x2b, 0xae};
+
+static const unsigned char prime_weak_6144[] = {
+ 0xa2, 0x24, 0x96, 0xb6, 0x21, 0x68, 0xd5, 0x7e, 0x2c, 0x60, 0x4d, 0xc8,
+ 0x81, 0x59, 0x9c, 0x1c, 0x70, 0xec, 0x24, 0x28, 0xb6, 0x52, 0x36, 0x09,
+ 0x87, 0xaa, 0xc1, 0x5b, 0xe5, 0xa6, 0x3e, 0x88, 0x54, 0x05, 0xe3, 0x09,
+ 0x09, 0xca, 0x6d, 0x9b, 0xc4, 0x8d, 0x26, 0xaf, 0xd7, 0xee, 0x9f, 0x0d,
+ 0xbd, 0x44, 0x8e, 0xfe, 0xcd, 0xf2, 0xe6, 0xde, 0xac, 0xf2, 0x02, 0x37,
+ 0xdc, 0x35, 0xc2, 0xce, 0xcd, 0x5f, 0xc5, 0x87, 0x0f, 0x99, 0xa7, 0xdb,
+ 0x0f, 0x1a, 0xcd, 0x76, 0xaa, 0x4a, 0xa5, 0x09, 0x60, 0x60, 0xe3, 0x58,
+ 0xe4, 0x52, 0x07, 0x1b, 0x42, 0x17, 0x11, 0x50, 0x2b, 0x40, 0x95, 0x8d,
+ 0x48, 0xa0, 0x34, 0x95, 0x25, 0x38, 0xcf, 0x09, 0x94, 0xe6, 0x55, 0x06,
+ 0x8a, 0xde, 0xdc, 0x41, 0x4a, 0xd9, 0x1f, 0x80, 0x82, 0x1d, 0xb8, 0x1e,
+ 0x84, 0x60, 0xde, 0xed, 0x4f, 0xc0, 0xd8, 0x1d, 0x54, 0xda, 0xb3, 0xf3,
+ 0x0e, 0x54, 0x3f, 0x18, 0x88, 0xff, 0x25, 0x31, 0xc6, 0x16, 0xe6, 0x70,
+ 0xfa, 0xc4, 0x08, 0xfc, 0x00, 0x8b, 0xf6, 0x9d, 0x29, 0x8a, 0x59, 0x49,
+ 0xed, 0x5c, 0x34, 0x7a, 0x84, 0x79, 0x40, 0xc1, 0x7e, 0x82, 0x17, 0x36,
+ 0xc8, 0x96, 0xb5, 0xd2, 0xf9, 0xdb, 0xc0, 0x10, 0x9f, 0xf8, 0x95, 0x35,
+ 0x6f, 0xb0, 0xb9, 0x48, 0x88, 0xdc, 0xf0, 0x4d, 0x30, 0xcd, 0x15, 0xfd,
+ 0x2f, 0xba, 0x18, 0xcc, 0x94, 0x50, 0x3f, 0xfe, 0x60, 0x3d, 0x7a, 0x46,
+ 0xef, 0xc4, 0xcd, 0x14, 0xe0, 0xef, 0x97, 0x81, 0xa1, 0x95, 0xe3, 0xa5,
+ 0x91, 0x9a, 0xf7, 0x9f, 0x7c, 0xfa, 0x0c, 0x69, 0xb6, 0xdf, 0xdb, 0xaf,
+ 0x31, 0xd8, 0xa8, 0x77, 0x6a, 0xba, 0xba, 0x80, 0xff, 0x3f, 0x5f, 0x86,
+ 0x9f, 0x80, 0x03, 0x1e, 0xd0, 0x5f, 0x37, 0x50, 0x61, 0xfc, 0x03, 0xd8,
+ 0x93, 0xa1, 0x79, 0x62, 0xfa, 0x92, 0xb8, 0x4a, 0x66, 0x99, 0xd7, 0x85,
+ 0x8d, 0x0f, 0x07, 0x02, 0x03, 0x83, 0x8c, 0x20, 0xa5, 0x9c, 0x2f, 0xfd,
+ 0x22, 0x5a, 0xf0, 0x95, 0x1e, 0xbf, 0x17, 0xf1, 0x3a, 0x40, 0x7f, 0xce,
+ 0x94, 0x62, 0x5f, 0x58, 0xe5, 0xf3, 0x99, 0x8c, 0x38, 0x8f, 0x05, 0x10,
+ 0x68, 0xea, 0x41, 0xb5, 0xc0, 0x6f, 0x4f, 0x63, 0x87, 0x1d, 0x98, 0xc3,
+ 0x31, 0x66, 0x1e, 0x9f, 0x2d, 0x3c, 0x6e, 0x9f, 0xb3, 0xcf, 0x8e, 0x77,
+ 0xf5, 0x3c, 0x51, 0x5a, 0xee, 0x82, 0xa1, 0xc5, 0x53, 0x20, 0x75, 0xd1,
+ 0xa8, 0x02, 0x37, 0x43, 0x08, 0x16, 0x05, 0x01, 0xed, 0xea, 0xf1, 0x52,
+ 0x58, 0x20, 0x94, 0x85, 0x05, 0x2e, 0x48, 0x3f, 0x47, 0x49, 0x4f, 0x01,
+ 0x44, 0xbd, 0x1e, 0x42, 0xea, 0x90, 0x90, 0x23, 0x99, 0x05, 0xfd, 0x37,
+ 0x41, 0x0c, 0x2f, 0xc4, 0x20, 0x04, 0x99, 0xee, 0x0f, 0xbb, 0xc2, 0x6d,
+ 0x0a, 0x7f, 0x24, 0x5a, 0x17, 0xa4, 0xeb, 0x9c, 0x67, 0xfe, 0x64, 0x0d,
+ 0xea, 0xb7, 0x20, 0x48, 0x40, 0x3b, 0x25, 0xed, 0x51, 0x5c, 0xfc, 0x20,
+ 0x18, 0xb6, 0xfc, 0x3e, 0xdb, 0xd9, 0xa1, 0xbd, 0x9e, 0xee, 0xcb, 0x5d,
+ 0x02, 0xfe, 0x7f, 0x42, 0x9d, 0xc9, 0xce, 0xfa, 0xe1, 0xd8, 0xf2, 0x05,
+ 0x67, 0x35, 0x88, 0x4e, 0xd7, 0x70, 0x97, 0x63, 0xb5, 0x0c, 0x60, 0x89,
+ 0xc0, 0xfe, 0x32, 0xd7, 0xae, 0x4b, 0xf1, 0x0a, 0xae, 0x3c, 0xde, 0x18,
+ 0x9c, 0x1d, 0xd2, 0xda, 0xf2, 0x02, 0x8d, 0xf1, 0x07, 0xd6, 0x5e, 0xb7,
+ 0xba, 0xaf, 0x81, 0x97, 0xee, 0xe0, 0x9d, 0x51, 0xf3, 0x1d, 0xc1, 0x5d,
+ 0x43, 0xe2, 0x0b, 0x0c, 0x9c, 0x0d, 0x74, 0x91, 0x20, 0x6f, 0x65, 0xf1,
+ 0xf2, 0x84, 0x02, 0x38, 0xb5, 0xe5, 0x10, 0x21, 0xfc, 0xe6, 0xc3, 0x4b,
+ 0x60, 0x49, 0x6a, 0xf1, 0xd5, 0x50, 0x0f, 0x6f, 0x8b, 0x1e, 0x80, 0xf3,
+ 0x5d, 0x29, 0xee, 0x60, 0xab, 0x26, 0xa5, 0x8c, 0xc4, 0x4c, 0xcb, 0xa6,
+ 0xaa, 0xe3, 0xfe, 0xd1, 0x67, 0x48, 0xb4, 0xfa, 0xbf, 0x57, 0xfe, 0x62,
+ 0x85, 0xa0, 0xac, 0xdc, 0x4e, 0x71, 0x01, 0xcc, 0x12, 0xec, 0x80, 0x95,
+ 0x54, 0xdc, 0x14, 0x9e, 0x20, 0xda, 0x5a, 0xbd, 0xee, 0x76, 0xbe, 0x39,
+ 0xcf, 0xbd, 0x8a, 0xe3, 0x0e, 0x71, 0x85, 0xe4, 0x3c, 0x62, 0x3b, 0xf8,
+ 0x6e, 0x70, 0xd4, 0xd6, 0x2e, 0xe0, 0x5e, 0x11, 0x9d, 0x33, 0xd9, 0x30,
+ 0xff, 0x3b, 0xcc, 0x2a, 0x39, 0xc4, 0x6f, 0xfd, 0xca, 0x88, 0xad, 0x28,
+ 0xa2, 0xe8, 0xa8, 0xd7, 0xe6, 0x08, 0x0d, 0xaf, 0x9d, 0xd8, 0xc8, 0x41,
+ 0x66, 0x84, 0x66, 0x86, 0x2b, 0x81, 0x3b, 0x6c, 0xc6, 0x76, 0x27, 0x6a,
+ 0x0d, 0x96, 0x0e, 0x65, 0x3e, 0xdf, 0xf5, 0x68, 0x04, 0x9d, 0x2d, 0x26,
+ 0x8b, 0xca, 0x0a, 0x79, 0x2a, 0xb4, 0xa0, 0xb3, 0x18, 0x4a, 0xea, 0x6a,
+ 0xd2, 0x14, 0xcd, 0x47, 0x85, 0x9f, 0x86, 0xd7, 0xde, 0xaa, 0x1e, 0x0e,
+ 0x71, 0x13, 0xec, 0xfe, 0x7c, 0x69, 0xbf, 0x22, 0xf0, 0x61, 0x50, 0x97,
+ 0x77, 0xc2, 0x2b, 0x31, 0x89, 0x11, 0xd6, 0x08, 0xb1, 0xd4, 0xce, 0xba,
+ 0xa0, 0x16, 0x9c, 0x2b, 0x8b, 0x3e, 0x17, 0xd8, 0xea, 0xe1, 0xf1, 0x20,
+ 0x7f, 0x3e, 0x76, 0x9f, 0x2f, 0x46, 0xc3, 0xaf, 0xc4, 0xba, 0xc9, 0x63,
+ 0xf7, 0xbb, 0x98, 0x6d, 0x60, 0x16, 0x04, 0x14, 0xc2, 0xed, 0x2e, 0xc3,
+ 0x00, 0x4f, 0x8f, 0x9d, 0xc6, 0xd9, 0xcd, 0xc1, 0xab, 0x4e, 0x67, 0xed,
+ 0xf8, 0xd2, 0x62, 0x13, 0xfa, 0x11, 0x31, 0xbb, 0x08, 0xdd, 0x4e, 0x89,
+ 0x4a, 0xff, 0x07, 0x89, 0xb5, 0x6c, 0xc3, 0xfe, 0x76, 0x6d, 0x10, 0x4c,
+ 0x1e, 0x10, 0x55, 0x22, 0x95, 0xfe, 0x09, 0xa5, 0x6e, 0x73, 0x0c, 0x2b};
+
+static const unsigned char subprime_weak_6144[] = {
+ 0xa8, 0x61, 0x65, 0x91, 0xb2, 0x43, 0xe3, 0x04, 0x25, 0x77, 0xb0,
+ 0x5a, 0xc5, 0xb1, 0x50, 0x19, 0x31, 0x2a, 0xd4, 0x79, 0x93, 0xc4,
+ 0x90, 0x9b, 0x27, 0xf1, 0x1e, 0xbb, 0x6e, 0x08, 0x98, 0xb1};
+
+static const unsigned char base_weak_6144[] = {
+ 0x34, 0xc2, 0xb2, 0x1f, 0xd9, 0x4e, 0xb6, 0xfd, 0x6c, 0x01, 0x47, 0xb9,
+ 0x50, 0xf1, 0xbe, 0x07, 0x1c, 0xdd, 0x67, 0xa2, 0xf1, 0x7c, 0x0d, 0xe5,
+ 0x9b, 0x7c, 0x9e, 0x0e, 0xd9, 0xf8, 0x81, 0xa1, 0xcf, 0x12, 0x28, 0x69,
+ 0xcd, 0xdf, 0x8a, 0x91, 0xad, 0x53, 0x0e, 0x31, 0x0c, 0xff, 0x4f, 0xaa,
+ 0x4f, 0x24, 0xa3, 0xd8, 0xc5, 0x56, 0xef, 0x21, 0xd6, 0x03, 0xcc, 0x87,
+ 0xab, 0xde, 0x7b, 0xbb, 0xbc, 0x1c, 0x91, 0xd4, 0x1d, 0x08, 0xe8, 0x26,
+ 0xba, 0x6e, 0x0c, 0x17, 0x1f, 0xb1, 0x29, 0x17, 0x04, 0x6c, 0x84, 0xd5,
+ 0x43, 0xc1, 0x35, 0xfd, 0x5a, 0x03, 0xd2, 0x9f, 0x30, 0xf7, 0xa5, 0xd5,
+ 0xb3, 0xc7, 0x5e, 0x00, 0x51, 0x31, 0x49, 0xec, 0x9b, 0xdd, 0x51, 0xee,
+ 0x84, 0xf4, 0x5f, 0xbe, 0x81, 0x23, 0x1e, 0xae, 0x99, 0x08, 0xdb, 0x26,
+ 0x41, 0xea, 0xcb, 0x7f, 0x40, 0xf6, 0x7b, 0x7f, 0xf7, 0x45, 0xcc, 0x7c,
+ 0x05, 0x35, 0xa8, 0x9f, 0x5a, 0x61, 0xf2, 0x71, 0xd4, 0x9b, 0x36, 0x19,
+ 0x69, 0xcd, 0x15, 0x06, 0x7a, 0xd7, 0x65, 0x04, 0x23, 0xa1, 0xf0, 0x18,
+ 0x16, 0xb1, 0x33, 0x45, 0x22, 0x14, 0xce, 0xc2, 0xfa, 0x6f, 0x5e, 0x4e,
+ 0x80, 0xc0, 0x99, 0x82, 0x6c, 0x2e, 0x6e, 0xaa, 0x0f, 0x5d, 0x60, 0xdc,
+ 0xc0, 0x91, 0x8f, 0x8b, 0xdd, 0x6c, 0xd2, 0xc2, 0x2e, 0x7a, 0xb6, 0x97,
+ 0x0a, 0x9c, 0x3c, 0x98, 0xe2, 0xd1, 0x5f, 0x6e, 0x1c, 0xbd, 0xb5, 0xdc,
+ 0x59, 0x3e, 0xb8, 0x94, 0x22, 0x89, 0x80, 0x0f, 0x75, 0x87, 0x18, 0x58,
+ 0x14, 0xb8, 0xa0, 0x80, 0x04, 0x33, 0x31, 0x34, 0x96, 0xd8, 0x0c, 0xc6,
+ 0xfd, 0xd0, 0x2b, 0xee, 0x52, 0xbf, 0x1f, 0x77, 0xfd, 0x18, 0xba, 0x77,
+ 0xb4, 0xf7, 0xcc, 0xc6, 0x5d, 0x50, 0x10, 0x94, 0xd8, 0x99, 0xce, 0x8d,
+ 0x2c, 0xc0, 0xa1, 0xd1, 0x44, 0xde, 0x90, 0x77, 0x45, 0x6a, 0x52, 0xbe,
+ 0x02, 0x8d, 0x21, 0x98, 0x76, 0xc9, 0x78, 0x31, 0x84, 0x21, 0xc6, 0x7d,
+ 0xb5, 0xcd, 0x65, 0x1e, 0x33, 0xea, 0x26, 0xe1, 0x5c, 0x1b, 0x4d, 0x66,
+ 0xc7, 0x08, 0xc9, 0xd5, 0x83, 0x8a, 0x2e, 0x80, 0x1c, 0xb8, 0x4d, 0x5f,
+ 0xf0, 0x28, 0x10, 0x02, 0x08, 0xd4, 0xe9, 0x87, 0xff, 0x5e, 0xe6, 0x39,
+ 0x4a, 0x40, 0xe6, 0x96, 0x64, 0xe5, 0x99, 0xbd, 0x69, 0xd3, 0x9a, 0xc6,
+ 0x0f, 0xea, 0x99, 0x34, 0x16, 0x06, 0x8d, 0xc4, 0xe9, 0x1e, 0x30, 0x31,
+ 0xa3, 0x23, 0xf2, 0xf6, 0x34, 0x65, 0x28, 0xe4, 0x6e, 0xfc, 0x85, 0x27,
+ 0xa2, 0x59, 0xb0, 0x19, 0x32, 0x7b, 0x07, 0x7b, 0x71, 0xa8, 0xb2, 0x9d,
+ 0x49, 0x14, 0xcd, 0xe5, 0x4e, 0x58, 0x34, 0xa8, 0x33, 0x7d, 0x99, 0xb8,
+ 0x48, 0x54, 0x1a, 0xc0, 0xd4, 0xb1, 0xaa, 0x15, 0x00, 0xe8, 0x7e, 0x9e,
+ 0x02, 0xcc, 0xde, 0x93, 0xe8, 0x73, 0x92, 0xf3, 0x3d, 0x99, 0x04, 0x21,
+ 0xc2, 0xa9, 0xb8, 0x1c, 0xfd, 0x9a, 0xfd, 0x30, 0xb4, 0x85, 0x5b, 0xbb,
+ 0x48, 0x0a, 0x7d, 0xfe, 0xc9, 0x49, 0x72, 0xdd, 0xbe, 0x6c, 0x3a, 0x2b,
+ 0x64, 0xc5, 0x85, 0xa8, 0xb4, 0x7c, 0x3a, 0xcb, 0x5f, 0x59, 0x62, 0xd6,
+ 0x2b, 0x62, 0x2d, 0xdb, 0x77, 0x96, 0x29, 0x9b, 0x75, 0x21, 0x4a, 0xaa,
+ 0xff, 0x19, 0xe4, 0x95, 0x2b, 0x7f, 0xec, 0xcb, 0x49, 0xd9, 0xa0, 0x70,
+ 0xc8, 0x5f, 0x0a, 0x5f, 0x27, 0x05, 0xf2, 0xff, 0xaa, 0x94, 0x47, 0x75,
+ 0x22, 0xf0, 0xe9, 0x29, 0x05, 0x45, 0x08, 0xb8, 0x24, 0xa5, 0x89, 0x0a,
+ 0xd4, 0x94, 0xfc, 0xe8, 0x55, 0x67, 0x1f, 0x16, 0x0e, 0x0f, 0xdb, 0xdf,
+ 0xcf, 0x4a, 0xba, 0x8f, 0x57, 0x4a, 0xf2, 0xe7, 0x8c, 0xe1, 0xe9, 0x5c,
+ 0x4a, 0xae, 0x2e, 0x85, 0x47, 0x93, 0x57, 0x6f, 0xb1, 0xea, 0xad, 0xaa,
+ 0x38, 0x52, 0x81, 0xe0, 0x14, 0xed, 0x16, 0xc5, 0xd3, 0xef, 0x70, 0x28,
+ 0x7e, 0x64, 0x52, 0xe2, 0x4a, 0x84, 0xdb, 0x44, 0x77, 0x87, 0x4e, 0x39,
+ 0x89, 0x73, 0x96, 0x3f, 0x5a, 0xfa, 0xb3, 0xa2, 0x88, 0x3d, 0x66, 0x41,
+ 0xbf, 0xdb, 0xa9, 0xb0, 0xbf, 0xec, 0x6f, 0x86, 0x25, 0x7f, 0x58, 0xce,
+ 0xc9, 0xa0, 0x1c, 0x3d, 0xf0, 0x0e, 0x08, 0xa7, 0x6e, 0x85, 0x15, 0x7f,
+ 0x0f, 0x5c, 0x1d, 0xfd, 0xfa, 0x86, 0x02, 0x73, 0x75, 0x21, 0xe4, 0xb4,
+ 0x98, 0x57, 0x87, 0x16, 0xbf, 0xd4, 0xdf, 0xd3, 0x5e, 0x62, 0x3b, 0x52,
+ 0xc4, 0xd6, 0xee, 0xed, 0x07, 0x51, 0x3f, 0x31, 0x50, 0x04, 0xc6, 0x8b,
+ 0xea, 0xfa, 0x04, 0x10, 0x54, 0xa9, 0x1a, 0xf1, 0x5c, 0x5e, 0xb0, 0x3a,
+ 0xf3, 0xcc, 0x65, 0xb1, 0x01, 0x98, 0x8e, 0x96, 0x6d, 0x55, 0x5f, 0x5b,
+ 0xfb, 0x09, 0xfa, 0x1f, 0x4c, 0x03, 0x11, 0x6f, 0xb9, 0x69, 0xfd, 0x8c,
+ 0x7a, 0xf6, 0x16, 0x51, 0x9f, 0xc0, 0xdf, 0x42, 0x91, 0xc8, 0xd5, 0x7c,
+ 0x58, 0xd3, 0xac, 0xdc, 0x53, 0xb4, 0x38, 0xe9, 0xbc, 0x76, 0x1e, 0x9b,
+ 0xf8, 0x53, 0x5c, 0xd2, 0xea, 0x11, 0xa0, 0x7e, 0x24, 0x36, 0x12, 0xff,
+ 0xac, 0x4f, 0x9d, 0x2d, 0xdc, 0x2a, 0x2b, 0xf7, 0xb6, 0x79, 0x1a, 0xa3,
+ 0x59, 0x09, 0x34, 0x56, 0x04, 0x8f, 0xfe, 0x1b, 0x3d, 0xf9, 0x73, 0xd1,
+ 0xc7, 0x30, 0x3d, 0x97, 0xc5, 0x2f, 0x4b, 0x0b, 0x66, 0xad, 0x4b, 0x4a,
+ 0xcd, 0xc9, 0x2d, 0xaa, 0xdd, 0x3a, 0x9a, 0x22, 0x89, 0x4c, 0x8c, 0xc6,
+ 0x1e, 0xbd, 0xa4, 0xbd, 0x43, 0x0b, 0x52, 0xfb, 0xcd, 0x07, 0x04, 0x43,
+ 0x77, 0xf7, 0x11, 0x7a, 0x70, 0x4f, 0x4a, 0xae, 0xb3, 0x7b, 0x99, 0x7e,
+ 0x90, 0x17, 0x8b, 0xca, 0x77, 0xfc, 0x15, 0x4b, 0xda, 0xc1, 0x7c, 0x56};
+
+static const unsigned char prime_weak_8192[] = {
+ 0x93, 0xdf, 0x6d, 0x37, 0xdc, 0x2a, 0xa4, 0xab, 0x5d, 0xdc, 0x73, 0x42,
+ 0x12, 0x18, 0x8f, 0x39, 0x47, 0x73, 0xf5, 0x3e, 0xbc, 0x6e, 0x0d, 0x2a,
+ 0x68, 0x5d, 0x53, 0x4f, 0x22, 0x8c, 0xa8, 0xa8, 0x4a, 0xac, 0x6a, 0x60,
+ 0x54, 0xca, 0x1a, 0x75, 0xda, 0x85, 0x02, 0x5e, 0x80, 0xbb, 0x9b, 0x5a,
+ 0x74, 0x96, 0x69, 0xc2, 0x7c, 0x84, 0x1f, 0x76, 0x0d, 0x53, 0xe4, 0x0b,
+ 0x32, 0xf3, 0x4b, 0xf6, 0x92, 0x5b, 0x2c, 0x98, 0x5d, 0xa9, 0x60, 0xdc,
+ 0x17, 0x5b, 0xfb, 0xb5, 0x0e, 0x38, 0xae, 0x63, 0x16, 0x79, 0xa4, 0xc5,
+ 0x76, 0x74, 0x20, 0x97, 0x5b, 0xdc, 0xa9, 0x88, 0xd1, 0x14, 0x46, 0x3e,
+ 0x1d, 0xe6, 0xca, 0xb5, 0x38, 0x57, 0xfd, 0xeb, 0x66, 0x2a, 0xfa, 0x8c,
+ 0x30, 0x07, 0xea, 0xb4, 0xbc, 0x79, 0x33, 0x14, 0xdf, 0x8f, 0x1d, 0x60,
+ 0x47, 0xc7, 0x23, 0xd9, 0x7f, 0xe3, 0x1c, 0x94, 0xa9, 0xbb, 0x2d, 0x1b,
+ 0x37, 0x64, 0x20, 0xcf, 0x68, 0x52, 0x39, 0xd9, 0x6f, 0x23, 0x50, 0xb2,
+ 0x67, 0xc8, 0x47, 0xaa, 0x39, 0x96, 0xd2, 0xfd, 0x9b, 0x9c, 0x86, 0x71,
+ 0xd8, 0x7c, 0x67, 0xb5, 0x7a, 0x9d, 0x4f, 0xf8, 0x8f, 0x34, 0x64, 0xcb,
+ 0xdb, 0x85, 0x11, 0x97, 0x86, 0xf7, 0xa1, 0x19, 0x2a, 0x10, 0x7a, 0xf2,
+ 0x15, 0x1b, 0x0c, 0x6e, 0x64, 0xf1, 0x18, 0x53, 0xf9, 0x9a, 0xdd, 0x7c,
+ 0x0d, 0x7c, 0x3d, 0x39, 0x9c, 0xa3, 0xc5, 0xf8, 0x68, 0x6f, 0xb4, 0x35,
+ 0xf8, 0x1d, 0xb8, 0xc8, 0xab, 0xea, 0x58, 0xf3, 0xbb, 0x78, 0xf3, 0xe2,
+ 0xa6, 0x16, 0xb3, 0x4a, 0x0a, 0x56, 0x5b, 0x44, 0xac, 0xcb, 0x66, 0x5d,
+ 0xa3, 0x62, 0x71, 0x91, 0x05, 0xd4, 0x97, 0x72, 0x33, 0x77, 0x43, 0x31,
+ 0x35, 0x9c, 0x43, 0xb8, 0xd5, 0x85, 0xdb, 0x8e, 0x28, 0xcb, 0x29, 0x98,
+ 0xb7, 0xfe, 0x6a, 0xf6, 0x08, 0x89, 0x82, 0xfc, 0xe6, 0x5d, 0x62, 0x68,
+ 0x55, 0xac, 0x3b, 0x9d, 0x82, 0xcd, 0x06, 0x10, 0x53, 0x93, 0x1d, 0x66,
+ 0x6a, 0xce, 0x63, 0x2c, 0x49, 0x36, 0xf3, 0x0d, 0x1c, 0x3f, 0x24, 0xd0,
+ 0x7f, 0xb2, 0xa0, 0xcf, 0x76, 0x2a, 0x16, 0xa2, 0x6f, 0x6b, 0xf4, 0xfe,
+ 0xb5, 0xca, 0x99, 0x44, 0x7c, 0xfc, 0x3b, 0xc1, 0xe4, 0x09, 0xf5, 0x7b,
+ 0x6d, 0x6c, 0xa1, 0x15, 0x10, 0x00, 0x4c, 0x75, 0x4d, 0x2a, 0x80, 0x95,
+ 0x90, 0x9a, 0x15, 0x5e, 0x77, 0x28, 0x8e, 0x83, 0x40, 0x85, 0x1f, 0x2d,
+ 0x70, 0x17, 0xa0, 0xb0, 0x7d, 0xe5, 0xfa, 0x81, 0x51, 0xbe, 0xb4, 0x16,
+ 0xf6, 0x54, 0x9f, 0x0e, 0xa3, 0xe2, 0x1e, 0x5e, 0x9b, 0x1c, 0xda, 0x0e,
+ 0x9f, 0x93, 0x5c, 0xf4, 0x43, 0xbd, 0x9c, 0x1e, 0x16, 0x67, 0xb5, 0x42,
+ 0x94, 0x70, 0xf8, 0x79, 0x0c, 0x2d, 0x48, 0xc1, 0x24, 0xc5, 0xc6, 0xa9,
+ 0x64, 0x0c, 0x44, 0xec, 0x99, 0xae, 0xb5, 0xe7, 0xc1, 0x24, 0x8a, 0x6c,
+ 0xd1, 0xa2, 0xbf, 0x4c, 0x6b, 0x0b, 0xe9, 0xf0, 0x98, 0x3d, 0xc7, 0x9c,
+ 0xe1, 0x8d, 0x1a, 0xde, 0xc4, 0x44, 0x43, 0xc6, 0xbf, 0x38, 0x62, 0x25,
+ 0x91, 0x42, 0x84, 0x01, 0x28, 0xcb, 0x80, 0xbc, 0x39, 0x4c, 0xc3, 0x3f,
+ 0xf6, 0xdf, 0xe1, 0xe6, 0xc9, 0x77, 0x35, 0x57, 0x2f, 0x89, 0x9d, 0xfa,
+ 0xaf, 0x37, 0xd6, 0x33, 0x71, 0x34, 0xff, 0x52, 0x28, 0xb3, 0x3c, 0x96,
+ 0x68, 0x10, 0x12, 0xc9, 0xbe, 0x18, 0x03, 0xcd, 0xef, 0x27, 0x0a, 0xd1,
+ 0xc9, 0x0e, 0x49, 0x01, 0x22, 0x73, 0xdb, 0x5f, 0x11, 0x75, 0x6d, 0xea,
+ 0x16, 0xda, 0x26, 0x7f, 0x3e, 0x7c, 0xcb, 0x62, 0xcf, 0xcc, 0x8d, 0xd6,
+ 0xea, 0xce, 0x26, 0x44, 0xa4, 0x74, 0x54, 0x4e, 0x2b, 0x15, 0xba, 0x9d,
+ 0xa1, 0x39, 0xe8, 0xfd, 0xe0, 0x29, 0xf0, 0xd7, 0xaa, 0x30, 0x6b, 0xd7,
+ 0x14, 0x3c, 0xa0, 0x04, 0xbc, 0xed, 0x82, 0xcb, 0xc9, 0xdb, 0x4f, 0x20,
+ 0x05, 0x6e, 0x45, 0x79, 0xdd, 0x5b, 0x3d, 0x5e, 0xee, 0xf1, 0xc3, 0xaa,
+ 0xb3, 0xd3, 0x3a, 0x47, 0xac, 0xe3, 0x12, 0xa1, 0xd5, 0xf4, 0x24, 0xe5,
+ 0x6c, 0xe4, 0x9f, 0xb4, 0xca, 0x96, 0x49, 0x51, 0x36, 0x3b, 0xa4, 0xa2,
+ 0xd6, 0x2e, 0x42, 0x23, 0x32, 0x8c, 0xc8, 0x83, 0xea, 0x14, 0xd1, 0x08,
+ 0x09, 0x8f, 0xdb, 0x4c, 0xc2, 0x00, 0x44, 0x06, 0x81, 0xd4, 0x11, 0x5d,
+ 0x2b, 0x1e, 0x37, 0x80, 0xaa, 0xb9, 0x88, 0xfa, 0xab, 0xd2, 0x76, 0x2e,
+ 0x03, 0xb8, 0x3b, 0x0b, 0xfc, 0x01, 0x96, 0xe3, 0x62, 0x00, 0x71, 0x13,
+ 0xe8, 0xfb, 0x78, 0xce, 0x39, 0x06, 0xa1, 0x44, 0xdd, 0x61, 0x6a, 0x56,
+ 0xb2, 0xcd, 0xcb, 0xec, 0x67, 0x24, 0x28, 0x7d, 0x39, 0x80, 0x37, 0xcb,
+ 0x95, 0x49, 0x96, 0xe9, 0x3f, 0xb7, 0x89, 0xeb, 0x11, 0x7c, 0x34, 0x49,
+ 0x36, 0x2c, 0xec, 0x82, 0xb6, 0x3c, 0xa9, 0x9a, 0xd3, 0xb8, 0xab, 0xb9,
+ 0x28, 0x2f, 0x97, 0x71, 0x04, 0xa8, 0x86, 0x2b, 0x43, 0xb6, 0x27, 0x51,
+ 0x8a, 0xe0, 0xa3, 0x98, 0xe7, 0x33, 0x32, 0xfe, 0x18, 0xb9, 0x38, 0x95,
+ 0x78, 0x17, 0xbe, 0x43, 0xa0, 0x08, 0x8b, 0x05, 0x8d, 0x56, 0xd7, 0x4e,
+ 0x61, 0x01, 0x00, 0x05, 0x12, 0x6d, 0x13, 0x95, 0xea, 0xce, 0xdc, 0xbf,
+ 0xc4, 0x74, 0x20, 0x89, 0x28, 0x05, 0xd2, 0x97, 0xc3, 0x35, 0x24, 0x6d,
+ 0x43, 0xdd, 0xe2, 0x9f, 0x15, 0x80, 0xee, 0xdd, 0xcd, 0x8a, 0x88, 0xc5,
+ 0x92, 0xda, 0x1d, 0xd9, 0xd0, 0xb8, 0xfd, 0x18, 0xcc, 0x58, 0x1b, 0xca,
+ 0x3b, 0xcc, 0x9e, 0xcd, 0x53, 0x61, 0x68, 0xf5, 0xbb, 0x2d, 0x02, 0x55,
+ 0x2b, 0x93, 0x9f, 0x18, 0x17, 0x20, 0xb1, 0x54, 0xe0, 0xfe, 0x3e, 0x6a,
+ 0x10, 0x7f, 0xee, 0x60, 0x7c, 0xcb, 0x14, 0x82, 0x68, 0xed, 0x08, 0x07,
+ 0xe7, 0x34, 0xad, 0x27, 0x6f, 0xda, 0x57, 0xe2, 0xa7, 0x4b, 0x7e, 0x7a,
+ 0x2e, 0x95, 0x88, 0x58, 0x3d, 0xe7, 0xdc, 0xa3, 0xf2, 0xe9, 0xf5, 0x95,
+ 0xfd, 0x1c, 0x5f, 0x9e, 0x5c, 0x0c, 0xe8, 0x36, 0xd5, 0x09, 0x35, 0x66,
+ 0x27, 0xb9, 0x13, 0x8a, 0x0e, 0xfa, 0xeb, 0xa6, 0x5b, 0xd6, 0x07, 0x4d,
+ 0xcf, 0x0d, 0x90, 0x71, 0xa1, 0xe5, 0x58, 0x1e, 0x27, 0x69, 0x64, 0x18,
+ 0x22, 0x07, 0x8a, 0x2a, 0xe9, 0x08, 0x00, 0x02, 0x8a, 0x58, 0x38, 0x81,
+ 0x05, 0xd8, 0xe7, 0x5d, 0x3d, 0xe8, 0x2b, 0x17, 0xfa, 0x29, 0x5c, 0xeb,
+ 0x93, 0x0c, 0x0f, 0x29, 0x68, 0x21, 0x93, 0x62, 0xf2, 0xe1, 0x44, 0x38,
+ 0x69, 0x21, 0x57, 0x86, 0x71, 0x6b, 0x3d, 0x12, 0x4e, 0x28, 0xdb, 0x0b,
+ 0xd4, 0x2c, 0xc5, 0xe8, 0x5f, 0x9b, 0xd2, 0x26, 0x08, 0x45, 0xa4, 0xb2,
+ 0xb1, 0x5e, 0xd1, 0x18, 0x3e, 0x62, 0x8d, 0x77, 0xa0, 0x62, 0x07, 0x75,
+ 0x0c, 0x68, 0x7f, 0xab, 0xd2, 0x2c, 0xec, 0x8e, 0xa9, 0x6e, 0x37, 0x3d,
+ 0xdb, 0x33, 0x7a, 0x4a, 0xba, 0x86, 0x25, 0x50, 0x6a, 0x37, 0x1b, 0x9b,
+ 0x91, 0x1a, 0x5f, 0x93, 0x21, 0xea, 0x91, 0xdc, 0x64, 0xb6, 0x07, 0x44,
+ 0x34, 0x79, 0x6a, 0x6a, 0x42, 0x4e, 0xf3, 0xe2, 0xa2, 0x6b, 0xff, 0xcd,
+ 0xd7, 0xc5, 0x69, 0xb9, 0x81, 0x7d, 0x34, 0xb4, 0x5b, 0xb6, 0x83, 0xc3,
+ 0x6b, 0x9a, 0xe1, 0x2e, 0x5e, 0x34, 0x01, 0x21, 0xeb, 0x37, 0xcc, 0xc5,
+ 0x5f, 0x7f, 0xa0, 0xde, 0x0f, 0x79, 0xb7, 0xc3, 0x3b, 0x84, 0x7d, 0xe8,
+ 0x96, 0xfd, 0x32, 0x47, 0x78, 0x3e, 0x22, 0xc8, 0x98, 0xce, 0x7a, 0xef,
+ 0x1d, 0xa6, 0x09, 0x3a, 0xff, 0xf7, 0x68, 0xd9, 0xb8, 0xe9, 0x7e, 0x8a,
+ 0xec, 0x23, 0x01, 0x97};
+
+static const unsigned char subprime_weak_8192[] = {
+ 0xe2, 0x48, 0x2e, 0xe9, 0x45, 0x85, 0xe1, 0x01, 0x91, 0x3b, 0xd1,
+ 0x15, 0x16, 0xb4, 0xf5, 0x5b, 0x2c, 0xb4, 0xae, 0x42, 0x61, 0x7a,
+ 0xd9, 0x26, 0x39, 0x12, 0xd2, 0x46, 0xb3, 0x46, 0x9b, 0x5f};
+
+static const unsigned char base_weak_8192[] = {
+ 0x78, 0x4d, 0x5d, 0xa1, 0xce, 0x9d, 0x68, 0xae, 0x47, 0x31, 0x81, 0x08,
+ 0x8c, 0x24, 0x38, 0x6a, 0xc8, 0xc7, 0xf4, 0x1c, 0xa1, 0xcb, 0x5d, 0x65,
+ 0x04, 0x6e, 0x0d, 0xbe, 0x55, 0x1d, 0x25, 0xc2, 0xca, 0x74, 0x99, 0x66,
+ 0x67, 0x75, 0x00, 0xd6, 0x12, 0x90, 0x7f, 0x44, 0x56, 0x40, 0x98, 0x23,
+ 0x30, 0x87, 0x7b, 0x02, 0x86, 0xc1, 0xb3, 0x1b, 0x83, 0x82, 0xdb, 0x5b,
+ 0xa6, 0x72, 0x90, 0x77, 0xf9, 0x63, 0x9d, 0xb4, 0xe0, 0x83, 0x5e, 0x04,
+ 0x1d, 0x7b, 0x25, 0x68, 0x67, 0xa4, 0xb2, 0x4e, 0x5a, 0xde, 0x1f, 0x48,
+ 0x01, 0x10, 0xde, 0xde, 0xa9, 0xc3, 0x14, 0xc5, 0x9c, 0xda, 0xbe, 0xd9,
+ 0x19, 0x91, 0x43, 0x4a, 0xaa, 0x77, 0xcc, 0xbb, 0xe0, 0xe7, 0x71, 0xa9,
+ 0xa2, 0x73, 0x4f, 0xf6, 0x88, 0xe0, 0xc6, 0x5d, 0x1a, 0xc9, 0x80, 0x6b,
+ 0x47, 0x98, 0x76, 0xb4, 0x6c, 0xfe, 0xc8, 0xdf, 0x65, 0x42, 0x3d, 0x11,
+ 0x60, 0x09, 0x32, 0xb3, 0x35, 0xc4, 0x97, 0x4c, 0xae, 0xd3, 0x3a, 0x0c,
+ 0x2b, 0x44, 0xe6, 0x21, 0x01, 0xf3, 0xbf, 0x3d, 0xb7, 0x18, 0x31, 0x28,
+ 0x88, 0x9e, 0xad, 0x06, 0xc4, 0xb8, 0x0a, 0x26, 0x09, 0xff, 0xe7, 0xf4,
+ 0xab, 0xd9, 0x28, 0x94, 0x02, 0xe6, 0x58, 0x65, 0xf4, 0x47, 0x3f, 0x4c,
+ 0x9e, 0xd8, 0x68, 0xed, 0x65, 0x39, 0x5b, 0x04, 0x6a, 0x1d, 0x21, 0xba,
+ 0xef, 0xbd, 0xdc, 0x15, 0x69, 0xb2, 0x24, 0x6c, 0x23, 0x98, 0xdd, 0x22,
+ 0xa0, 0x90, 0x48, 0xc1, 0xcc, 0xc6, 0xb4, 0xc9, 0x19, 0x8c, 0x23, 0x89,
+ 0x0b, 0x3b, 0x66, 0x0f, 0xfb, 0x45, 0xe6, 0x05, 0x7d, 0x57, 0xd3, 0x58,
+ 0x6c, 0xe5, 0x36, 0xaa, 0x05, 0xcf, 0xa6, 0x2d, 0x5a, 0x40, 0x96, 0x12,
+ 0x1e, 0xea, 0x34, 0x11, 0x94, 0x76, 0x47, 0xc8, 0x87, 0x3d, 0xb9, 0xe8,
+ 0x83, 0x6b, 0xfe, 0x83, 0xc6, 0xa3, 0x38, 0xe1, 0x06, 0xc3, 0xb0, 0xeb,
+ 0x53, 0x07, 0x75, 0x20, 0x60, 0xc2, 0xee, 0x1e, 0x95, 0xb4, 0xc1, 0xc5,
+ 0xe0, 0x1b, 0x47, 0xbb, 0xf9, 0x48, 0x6a, 0x68, 0x09, 0xab, 0xd2, 0x6e,
+ 0x29, 0x74, 0xed, 0x61, 0x0e, 0x12, 0xe2, 0x89, 0x15, 0x4f, 0xe2, 0xa1,
+ 0x50, 0xbd, 0x81, 0x49, 0xf0, 0xc4, 0x17, 0xe5, 0xb3, 0x35, 0x0b, 0xfa,
+ 0x59, 0x9f, 0x18, 0x84, 0xba, 0x74, 0xf2, 0xb8, 0x8f, 0xdf, 0x7c, 0x3e,
+ 0x36, 0x67, 0x84, 0xb7, 0x85, 0x50, 0x51, 0x64, 0x2a, 0xca, 0x8f, 0x6b,
+ 0xc8, 0xd1, 0x88, 0x0f, 0x64, 0x9a, 0x4a, 0xbd, 0x9b, 0x5f, 0x11, 0xd0,
+ 0x80, 0xba, 0x5d, 0x2e, 0x63, 0xc1, 0xe3, 0x58, 0xc1, 0xf3, 0xe3, 0x88,
+ 0xa7, 0xe6, 0xb2, 0x3c, 0xdf, 0x9d, 0xfa, 0xed, 0x5c, 0x6f, 0x86, 0x3b,
+ 0x25, 0x0f, 0x0e, 0xff, 0x0b, 0x88, 0x1c, 0xe9, 0xeb, 0xe5, 0x75, 0xee,
+ 0x50, 0xdf, 0x7c, 0xb0, 0xf2, 0x09, 0x78, 0x47, 0x60, 0x76, 0x3b, 0x44,
+ 0x5a, 0x9d, 0xf2, 0x5c, 0x68, 0xf9, 0x03, 0x88, 0x6a, 0x9f, 0x6a, 0x73,
+ 0x85, 0xc9, 0xe7, 0x5e, 0xbf, 0xac, 0x9e, 0x7a, 0x13, 0x53, 0x40, 0x65,
+ 0x65, 0x41, 0x02, 0x38, 0x5e, 0x05, 0xac, 0xbc, 0xc5, 0xff, 0xc5, 0x35,
+ 0x6c, 0x2b, 0x76, 0xac, 0xc5, 0xcc, 0x1e, 0x28, 0x53, 0x88, 0xab, 0x58,
+ 0x36, 0x7a, 0x99, 0xeb, 0x68, 0x7a, 0xdc, 0xd5, 0xc5, 0xaf, 0x84, 0xad,
+ 0x43, 0x0b, 0x3f, 0x3c, 0xbf, 0x87, 0x33, 0x45, 0xc6, 0x62, 0xf3, 0xac,
+ 0xff, 0x58, 0x82, 0x86, 0x9a, 0x3d, 0x05, 0xa0, 0xd2, 0xbb, 0x6d, 0x19,
+ 0x09, 0x09, 0x01, 0xeb, 0x8f, 0xd6, 0xf8, 0x13, 0xf6, 0x2f, 0xce, 0x0c,
+ 0x01, 0xe1, 0xcd, 0x56, 0xad, 0xf7, 0xd6, 0xe3, 0xf3, 0xfe, 0x5b, 0x61,
+ 0x40, 0x3d, 0x6b, 0x9b, 0xca, 0x44, 0xda, 0xac, 0xf5, 0xc0, 0x9f, 0xb5,
+ 0x23, 0x77, 0x70, 0x72, 0x83, 0xf4, 0xb8, 0x15, 0x66, 0x59, 0xc6, 0x72,
+ 0xea, 0xba, 0xa7, 0x1f, 0xd8, 0x27, 0xd3, 0x52, 0xdf, 0xec, 0x7c, 0x1d,
+ 0x3e, 0x60, 0x98, 0xb1, 0x30, 0xb8, 0x00, 0x37, 0x1a, 0x2d, 0xe9, 0xdb,
+ 0x62, 0x7f, 0xa9, 0x37, 0x9d, 0xf9, 0x82, 0x10, 0x98, 0xed, 0xc5, 0xc7,
+ 0xc7, 0xe6, 0x6e, 0xe8, 0x0f, 0xa8, 0x7e, 0xac, 0x30, 0xf8, 0x75, 0x95,
+ 0xc8, 0x56, 0x3b, 0xbb, 0x6f, 0x69, 0x48, 0x84, 0xb5, 0x4e, 0x8d, 0x68,
+ 0xdf, 0x2a, 0x1d, 0xf5, 0xd6, 0xd8, 0x00, 0x6f, 0x29, 0xea, 0x66, 0xb1,
+ 0xcb, 0xf3, 0xdb, 0x5e, 0x55, 0x9f, 0x13, 0x67, 0x22, 0xc3, 0x02, 0x74,
+ 0xc8, 0x69, 0x6b, 0xe5, 0x23, 0x83, 0x27, 0x20, 0x91, 0xda, 0xb3, 0x4a,
+ 0xe4, 0x92, 0xc9, 0x25, 0x76, 0x16, 0xf9, 0xfc, 0x74, 0xec, 0x95, 0xd9,
+ 0x61, 0x5f, 0x03, 0xac, 0x94, 0x2f, 0x4d, 0x00, 0xce, 0x97, 0xb7, 0x18,
+ 0x60, 0x10, 0x44, 0x1a, 0x48, 0xb2, 0x86, 0x02, 0x18, 0xac, 0x68, 0x61,
+ 0x73, 0x5e, 0x13, 0xd1, 0xd4, 0x66, 0x71, 0x8b, 0x1d, 0xbc, 0x08, 0xa2,
+ 0x45, 0xac, 0xe2, 0x06, 0xea, 0xe7, 0xb2, 0x8a, 0x27, 0x25, 0xb8, 0xa2,
+ 0xaf, 0x03, 0xc0, 0x0d, 0x90, 0x34, 0x90, 0x60, 0x55, 0x5f, 0x71, 0x94,
+ 0x8d, 0xfa, 0x5d, 0x91, 0x96, 0x3e, 0x7a, 0x2a, 0x4f, 0x50, 0x3f, 0x48,
+ 0xc2, 0x31, 0xd2, 0xa9, 0x29, 0x8a, 0x0a, 0x41, 0x50, 0xf2, 0x7d, 0x9b,
+ 0x52, 0xc9, 0xdf, 0x69, 0xfb, 0x6a, 0x1e, 0xee, 0xf2, 0x44, 0x3e, 0xe5,
+ 0x48, 0xad, 0x24, 0x3b, 0xac, 0xad, 0x62, 0x4f, 0xc8, 0x30, 0x1d, 0x7e,
+ 0x42, 0x4b, 0x52, 0x53, 0xca, 0x16, 0x27, 0x37, 0x76, 0x8f, 0x95, 0x7c,
+ 0xd1, 0xcd, 0x39, 0xac, 0x30, 0xc0, 0x1d, 0x15, 0xe4, 0x80, 0xc2, 0x43,
+ 0x6d, 0x77, 0x5d, 0x27, 0x4a, 0xad, 0xf4, 0x64, 0x56, 0xfd, 0x0b, 0x3a,
+ 0xaf, 0xb7, 0x63, 0x03, 0x44, 0x86, 0x4d, 0x72, 0x03, 0xd9, 0x91, 0xb9,
+ 0x06, 0xc0, 0x3f, 0x7a, 0xd7, 0xb6, 0x17, 0xd5, 0xb3, 0x2a, 0x13, 0x93,
+ 0x9d, 0x45, 0xfa, 0x70, 0xe7, 0x3a, 0xcd, 0x5e, 0xad, 0x7c, 0x70, 0x96,
+ 0x84, 0x91, 0xfd, 0x1c, 0x2b, 0xa2, 0x68, 0x7c, 0xc4, 0x8f, 0xa0, 0x2f,
+ 0x02, 0x6e, 0x4f, 0xd5, 0xe9, 0xb8, 0xbf, 0x52, 0x85, 0xd3, 0xdd, 0xbb,
+ 0x43, 0x73, 0x58, 0xd9, 0xa4, 0xb0, 0x08, 0x25, 0x16, 0xe3, 0x13, 0xc9,
+ 0x98, 0x26, 0x79, 0x91, 0xf8, 0x67, 0x2f, 0x05, 0x10, 0x8f, 0x03, 0xe5,
+ 0x26, 0x5c, 0xcb, 0x99, 0x97, 0xb7, 0xc9, 0x19, 0x4d, 0x4c, 0x9f, 0xc6,
+ 0xcc, 0x24, 0xfb, 0xe2, 0x83, 0x59, 0xbb, 0x9f, 0x25, 0x14, 0xf0, 0x92,
+ 0x3a, 0xcc, 0xc7, 0xcf, 0x66, 0xea, 0x43, 0x48, 0x8a, 0x23, 0xcb, 0xec,
+ 0xf5, 0x60, 0x7e, 0x81, 0x72, 0x94, 0x44, 0xfd, 0x33, 0x38, 0xfc, 0xbd,
+ 0xcf, 0x91, 0xe7, 0x22, 0x19, 0x8f, 0x1e, 0x0a, 0x8c, 0x08, 0x8c, 0xf1,
+ 0x39, 0x7d, 0xd4, 0xf1, 0xb3, 0xa0, 0x9d, 0xae, 0x9e, 0x8e, 0x24, 0xd7,
+ 0x37, 0x39, 0x9b, 0x93, 0xd7, 0x89, 0x1c, 0x04, 0x1b, 0x3e, 0x84, 0x5d,
+ 0xc6, 0x75, 0x36, 0x64, 0x08, 0x06, 0x0d, 0xdd, 0x83, 0x8c, 0xf4, 0xc4,
+ 0xe1, 0x11, 0xe1, 0x14, 0x49, 0xb1, 0x32, 0xce, 0x6a, 0x6c, 0x39, 0x0d,
+ 0xf9, 0x35, 0x1b, 0x95, 0x4b, 0xe1, 0x65, 0x0c, 0xa6, 0xac, 0x69, 0x27,
+ 0x98, 0xfa, 0x34, 0xf1, 0x30, 0x35, 0xb6, 0xe4, 0xc4, 0x55, 0x2d, 0xa8,
+ 0x5c, 0xcb, 0x6c, 0xcd, 0x66, 0x65, 0xe2, 0x94, 0xb2, 0xb1, 0xf4, 0x52,
+ 0x75, 0xed, 0x32, 0x8c, 0x08, 0xa1, 0x86, 0x53, 0x01, 0x6f, 0x52, 0x78,
+ 0xda, 0x20, 0x6e, 0x6a};
+/* Calculated subprimes to verify primes are safe primes */
+
+/* q=(p-1)/2 for prime prime_ike_1536 */
+static const unsigned char sub2_prime_ike_1536[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_2048 */
+static const unsigned char sub2_prime_ike_2048[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_2048 */
+static const unsigned char sub2_prime_tls_2048[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_3072 */
+static const unsigned char sub2_prime_ike_3072[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_3072 */
+static const unsigned char sub2_prime_tls_3072[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_4096 */
+static const unsigned char sub2_prime_ike_4096[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_4096 */
+static const unsigned char sub2_prime_tls_4096[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5,
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_6144 */
+static const unsigned char sub2_prime_ike_6144[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49,
+ 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59,
+ 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde,
+ 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17,
+ 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18,
+ 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5,
+ 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d,
+ 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8,
+ 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f,
+ 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a,
+ 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b,
+ 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18,
+ 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79,
+ 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb,
+ 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55,
+ 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69,
+ 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94,
+ 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e,
+ 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae,
+ 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b,
+ 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77,
+ 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f,
+ 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_6144 */
+static const unsigned char sub2_prime_tls_6144[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81,
+ 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96,
+ 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53,
+ 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2,
+ 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d,
+ 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f,
+ 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b,
+ 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17,
+ 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1,
+ 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6,
+ 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda,
+ 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f,
+ 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb,
+ 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac,
+ 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6,
+ 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18,
+ 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5,
+ 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea,
+ 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82,
+ 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47,
+ 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0,
+ 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e,
+ 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_8192 */
+static const unsigned char sub2_prime_ike_8192[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49,
+ 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59,
+ 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde,
+ 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17,
+ 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18,
+ 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5,
+ 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d,
+ 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8,
+ 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f,
+ 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a,
+ 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b,
+ 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18,
+ 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79,
+ 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb,
+ 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55,
+ 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69,
+ 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94,
+ 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e,
+ 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae,
+ 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b,
+ 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77,
+ 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f,
+ 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2,
+ 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68,
+ 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80,
+ 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49,
+ 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4,
+ 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65,
+ 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c,
+ 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4,
+ 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35,
+ 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf,
+ 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d,
+ 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc,
+ 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b,
+ 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62,
+ 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50,
+ 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1,
+ 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9,
+ 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17,
+ 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23,
+ 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71,
+ 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38,
+ 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_8192 */
+static const unsigned char sub2_prime_tls_8192[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81,
+ 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96,
+ 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53,
+ 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2,
+ 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d,
+ 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f,
+ 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b,
+ 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17,
+ 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1,
+ 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6,
+ 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda,
+ 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f,
+ 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb,
+ 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac,
+ 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6,
+ 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18,
+ 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5,
+ 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea,
+ 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82,
+ 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47,
+ 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0,
+ 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e,
+ 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c,
+ 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7,
+ 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f,
+ 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1,
+ 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32,
+ 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c,
+ 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41,
+ 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60,
+ 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11,
+ 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98,
+ 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96,
+ 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b,
+ 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc,
+ 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a,
+ 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b,
+ 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff,
+ 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18,
+ 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c,
+ 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86,
+ 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83,
+ 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46,
+ 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_safe_1536 */
+static const unsigned char sub2_prime_safe_1536[] = {
+ 0x7b, 0xb3, 0x98, 0xe4, 0x22, 0xb5, 0x6c, 0xf5, 0x29, 0x85, 0x90, 0xe3,
+ 0xa5, 0x7d, 0x40, 0xb3, 0x3b, 0x2e, 0x75, 0x5b, 0xfa, 0x88, 0x99, 0x36,
+ 0xe9, 0xa6, 0x3d, 0x56, 0x1c, 0x8b, 0x8d, 0x43, 0xdc, 0x00, 0x6b, 0x88,
+ 0xe2, 0xfe, 0xf0, 0xf1, 0xb2, 0xa6, 0x0f, 0xa1, 0x12, 0x20, 0x8f, 0x49,
+ 0x21, 0x5f, 0xdb, 0x32, 0x87, 0x39, 0x41, 0xc5, 0x5c, 0x41, 0x53, 0x27,
+ 0xcf, 0x65, 0x27, 0xe8, 0xd8, 0x89, 0xe1, 0x7d, 0x33, 0xd0, 0xb5, 0x03,
+ 0x27, 0xd7, 0xb7, 0x0b, 0x6c, 0xca, 0x6c, 0x6d, 0x71, 0xb3, 0x31, 0x00,
+ 0x8f, 0xc1, 0x47, 0x88, 0x70, 0x17, 0x9e, 0x51, 0xa1, 0x54, 0x5d, 0xca,
+ 0x19, 0x3c, 0xbc, 0xbf, 0xcb, 0xfc, 0x1d, 0x18, 0xd5, 0x0a, 0x63, 0xff,
+ 0x09, 0xcb, 0x3b, 0x8a, 0xdf, 0xa3, 0x90, 0x2b, 0x88, 0xf0, 0x27, 0xed,
+ 0x3f, 0x54, 0x8c, 0xa4, 0xd0, 0xc6, 0x94, 0xbb, 0x45, 0x69, 0xcd, 0xd8,
+ 0x5f, 0x28, 0x61, 0x92, 0xc1, 0x7c, 0xf1, 0x90, 0xc6, 0x7e, 0xd3, 0x28,
+ 0xf2, 0x9b, 0x3f, 0x41, 0x5b, 0x48, 0x22, 0xf0, 0xea, 0xb9, 0x2b, 0x5f,
+ 0x62, 0xb3, 0x9e, 0x89, 0x8d, 0x1c, 0xbf, 0xcc, 0x19, 0xfe, 0x5a, 0x3d,
+ 0xd2, 0x1c, 0x38, 0xc3, 0xcb, 0x37, 0x73, 0x3d, 0xbb, 0xd9, 0x32, 0xfe,
+ 0xef, 0x93, 0xc9, 0x86, 0x1e, 0x30, 0x6f, 0xf2, 0x99, 0xff, 0x6b, 0xa5,
+};
+
+/* q=(p-1)/2 for prime prime_safe_2048 */
+static const unsigned char sub2_prime_safe_2048[] = {
+ 0x70, 0xd1, 0xb7, 0x24, 0xb4, 0x83, 0x8e, 0x2f, 0xda, 0x0a, 0x9a, 0xa3,
+ 0x4c, 0xa9, 0x68, 0x27, 0x7f, 0xa7, 0x26, 0x58, 0xf0, 0xac, 0xf6, 0x97,
+ 0x38, 0xf9, 0xc0, 0x0a, 0x2a, 0x68, 0x7e, 0x41, 0x90, 0x14, 0x8a, 0x90,
+ 0xd3, 0x2f, 0x88, 0x40, 0xab, 0xfa, 0x17, 0x24, 0xd9, 0x68, 0x9b, 0xf4,
+ 0x35, 0x5f, 0xb9, 0x7c, 0xaa, 0xa7, 0x4f, 0x57, 0x10, 0x62, 0xdb, 0x62,
+ 0xc8, 0xbc, 0x86, 0xd1, 0x6e, 0xda, 0x5d, 0xa8, 0x27, 0x10, 0x65, 0x45,
+ 0x47, 0xc1, 0x1a, 0x5c, 0xb5, 0x1f, 0x4d, 0x33, 0xe1, 0x3f, 0x41, 0xfb,
+ 0x60, 0x56, 0xf1, 0xe5, 0x00, 0x6b, 0x08, 0xc4, 0x4e, 0x63, 0xcf, 0xda,
+ 0x1e, 0xa9, 0xd2, 0xad, 0x4b, 0xa2, 0x26, 0xf3, 0xae, 0x6a, 0xbb, 0x40,
+ 0x7c, 0x06, 0x66, 0xd3, 0x2a, 0xf1, 0x2f, 0xe7, 0xfa, 0x23, 0x52, 0x63,
+ 0x87, 0xe0, 0xc0, 0x42, 0x32, 0xa3, 0x46, 0x43, 0xe9, 0x4c, 0xc1, 0x6f,
+ 0xc7, 0x00, 0x44, 0xf9, 0x86, 0xea, 0xe0, 0x2a, 0x4a, 0x63, 0x51, 0xc9,
+ 0x07, 0xc8, 0x88, 0x77, 0x51, 0xb2, 0xa2, 0x5b, 0xb6, 0xf4, 0x11, 0xfc,
+ 0xbf, 0xc8, 0xb1, 0x32, 0x84, 0xc7, 0x50, 0x99, 0xea, 0x6b, 0x2a, 0x85,
+ 0x60, 0x74, 0x33, 0x38, 0x02, 0xe8, 0x09, 0x1a, 0x60, 0xfe, 0xe7, 0x3a,
+ 0xd2, 0x3a, 0xf0, 0xa3, 0x50, 0x84, 0x5a, 0x29, 0x7f, 0x12, 0xd2, 0x62,
+ 0xa7, 0x91, 0x82, 0x3f, 0x50, 0x96, 0x79, 0xab, 0x65, 0xfd, 0x3d, 0x5e,
+ 0x22, 0xe6, 0x3c, 0x59, 0x94, 0x79, 0xf2, 0xea, 0x93, 0x2b, 0x13, 0xc3,
+ 0x35, 0x2b, 0x35, 0xc3, 0xab, 0x07, 0x62, 0x1e, 0x76, 0xff, 0xe5, 0xcb,
+ 0x5a, 0x09, 0x8e, 0xa6, 0x9c, 0x27, 0x34, 0x9a, 0x28, 0xbd, 0x42, 0x98,
+ 0xda, 0x40, 0x6d, 0x20, 0xf1, 0xee, 0x17, 0x29, 0xec, 0x38, 0x9f, 0x66,
+ 0x1b, 0xc5, 0x40, 0x19,
+};
+
+/* q=(p-1)/2 for prime prime_safe_3072 */
+static const unsigned char sub2_prime_safe_3072[] = {
+ 0x43, 0xb3, 0x6f, 0xfb, 0xf6, 0x24, 0xb5, 0x4d, 0x3e, 0x4b, 0x14, 0x57,
+ 0x33, 0x9c, 0x55, 0xfd, 0x7f, 0x2e, 0x23, 0x3d, 0xf7, 0xf4, 0x8c, 0x53,
+ 0x3b, 0x59, 0x72, 0x87, 0x5f, 0x5c, 0x79, 0x40, 0x1b, 0x04, 0xc1, 0x22,
+ 0x3d, 0xf4, 0x74, 0x66, 0x44, 0x93, 0xb4, 0x02, 0xf0, 0x70, 0x9b, 0xeb,
+ 0xdf, 0xed, 0x86, 0x7b, 0x24, 0x29, 0x0b, 0x9f, 0xba, 0xe2, 0xa7, 0x5a,
+ 0x1e, 0xfc, 0x26, 0x75, 0x5a, 0x05, 0x83, 0x02, 0x0a, 0xc4, 0xbe, 0x5d,
+ 0x79, 0xfa, 0xef, 0x33, 0x37, 0x3e, 0x98, 0x62, 0x10, 0x02, 0xed, 0x19,
+ 0x07, 0xff, 0xbc, 0xb8, 0xa2, 0x4d, 0x88, 0x07, 0xf8, 0xdd, 0x98, 0xef,
+ 0x33, 0xc8, 0x75, 0x3b, 0xd6, 0xb2, 0xeb, 0x82, 0xba, 0xd5, 0xb3, 0x79,
+ 0x73, 0x29, 0x56, 0x79, 0x55, 0x53, 0xe9, 0x22, 0xec, 0xe3, 0x21, 0x1c,
+ 0x93, 0x8f, 0xa3, 0x42, 0x56, 0xbc, 0x5a, 0x7d, 0x42, 0x7c, 0x4d, 0x9f,
+ 0x65, 0xe0, 0xcc, 0xf2, 0x9a, 0xa1, 0x13, 0x02, 0xf5, 0x56, 0x28, 0x82,
+ 0x27, 0xc5, 0x4c, 0x12, 0xd3, 0xa3, 0x55, 0xbd, 0xf6, 0xdc, 0x54, 0x85,
+ 0x92, 0x11, 0xc1, 0x91, 0x8b, 0x43, 0xb2, 0x48, 0x86, 0x5f, 0x8f, 0xde,
+ 0x76, 0x25, 0x6e, 0x89, 0x15, 0x86, 0x54, 0x9c, 0xcb, 0x62, 0x61, 0xe7,
+ 0xd2, 0x9c, 0x20, 0x06, 0xb7, 0x68, 0x7d, 0x05, 0x06, 0x1f, 0x74, 0xba,
+ 0x85, 0xb8, 0x14, 0x34, 0x5e, 0x7e, 0xfb, 0x61, 0x4d, 0x2c, 0xc8, 0x90,
+ 0x2e, 0x38, 0x7f, 0x18, 0xd3, 0x28, 0x43, 0xcd, 0x35, 0x30, 0x90, 0x16,
+ 0x3b, 0xc2, 0x40, 0xd4, 0x1f, 0x64, 0xd4, 0x39, 0x58, 0x29, 0xa1, 0xc2,
+ 0x8e, 0x4d, 0x9d, 0x6e, 0xf7, 0x84, 0xbe, 0xe3, 0xb4, 0x63, 0x77, 0x84,
+ 0x67, 0x23, 0xd0, 0x6e, 0x2d, 0xed, 0x97, 0x96, 0x9a, 0x71, 0xef, 0x4a,
+ 0xfb, 0x35, 0xb6, 0xae, 0xc8, 0xdf, 0x22, 0xf7, 0x16, 0x82, 0x49, 0xbc,
+ 0x63, 0xd2, 0x24, 0xe6, 0x38, 0xd4, 0x2e, 0xec, 0x45, 0x3f, 0x4f, 0x27,
+ 0x88, 0x64, 0xa0, 0xe8, 0xb1, 0x60, 0xb8, 0x24, 0x5a, 0x89, 0x08, 0x91,
+ 0xd3, 0x72, 0x6f, 0xb2, 0x56, 0x6c, 0xf2, 0x1b, 0xe1, 0x5c, 0x91, 0xd3,
+ 0xa0, 0x75, 0x3f, 0xaa, 0x71, 0xf7, 0xb8, 0xc0, 0xda, 0x73, 0x82, 0x88,
+ 0x6b, 0x15, 0xea, 0x88, 0xc2, 0x2d, 0x34, 0xd2, 0xd6, 0x29, 0x36, 0xd4,
+ 0x3c, 0x93, 0xff, 0x8e, 0x01, 0x68, 0xb1, 0x1b, 0x01, 0xd1, 0x54, 0xa3,
+ 0x36, 0x27, 0xe5, 0x2c, 0x79, 0x59, 0x76, 0xc8, 0xda, 0x4f, 0x2d, 0xee,
+ 0xfc, 0xcc, 0xdb, 0x46, 0xb8, 0x1a, 0x05, 0x62, 0xa6, 0xeb, 0xe7, 0x45,
+ 0xf8, 0xa8, 0x12, 0xc4, 0xff, 0xf3, 0xf9, 0x0f, 0x5c, 0x90, 0xd9, 0xc5,
+ 0xe4, 0x21, 0x3e, 0x13, 0x77, 0xa6, 0x18, 0x46, 0xb0, 0x5b, 0x92, 0xfd,
+};
+
+/* q=(p-1)/2 for prime prime_safe_4096 */
+static const unsigned char sub2_prime_safe_4096[] = {
+ 0x45, 0xef, 0xe0, 0xd1, 0xf2, 0x5e, 0x8e, 0x58, 0xfa, 0x58, 0xa8, 0xe9,
+ 0xc5, 0x67, 0x1e, 0x99, 0xac, 0x40, 0x51, 0x8e, 0x3e, 0x06, 0xde, 0xc7,
+ 0x5e, 0xd9, 0xf3, 0xcf, 0x6a, 0x6f, 0x03, 0x7e, 0x4c, 0x57, 0x80, 0xa1,
+ 0xc9, 0x96, 0x7e, 0x7d, 0xc9, 0x40, 0x70, 0x37, 0x7c, 0xfb, 0x55, 0xb9,
+ 0xcb, 0x46, 0xbf, 0x60, 0x75, 0x93, 0x36, 0x06, 0x29, 0x83, 0x4f, 0x99,
+ 0x25, 0xd6, 0xa9, 0xea, 0xdf, 0xc8, 0x9a, 0x8b, 0x7e, 0xbf, 0xdd, 0x18,
+ 0x5b, 0x5a, 0x44, 0x08, 0x0f, 0xad, 0x60, 0x31, 0x7c, 0xbf, 0xb8, 0xcd,
+ 0xda, 0x88, 0x25, 0xcc, 0xe8, 0x78, 0x74, 0xe1, 0x77, 0x1a, 0x92, 0x75,
+ 0xe6, 0x77, 0x03, 0x5f, 0xd0, 0x02, 0xf2, 0x30, 0xd2, 0x53, 0x4c, 0x11,
+ 0xe8, 0x72, 0x45, 0x30, 0xe5, 0x02, 0xc5, 0x36, 0x4c, 0x7d, 0x41, 0xe1,
+ 0xa8, 0x3e, 0xaa, 0x9d, 0x97, 0x6a, 0xd6, 0x0a, 0x30, 0xc3, 0x68, 0xda,
+ 0xe7, 0xe0, 0x6e, 0x34, 0xa5, 0xb6, 0x25, 0x62, 0xeb, 0xff, 0x70, 0x74,
+ 0x0d, 0x32, 0x08, 0xed, 0xab, 0x78, 0x0e, 0x4a, 0xae, 0x68, 0xb5, 0x5c,
+ 0xfb, 0x71, 0x00, 0x7a, 0x11, 0x01, 0x81, 0x95, 0x5e, 0x4e, 0x41, 0x75,
+ 0xc4, 0x8d, 0x6e, 0xca, 0x32, 0x81, 0x22, 0x30, 0xbb, 0x60, 0xd7, 0x6c,
+ 0x65, 0x7e, 0xb3, 0x7a, 0x4b, 0x73, 0xbc, 0xff, 0x1d, 0x4c, 0x78, 0xc0,
+ 0x01, 0x7d, 0x21, 0x5b, 0xd7, 0x75, 0x9c, 0x94, 0x61, 0xdc, 0xe7, 0x46,
+ 0x38, 0xf5, 0x0a, 0x3a, 0x43, 0x36, 0x13, 0x6a, 0x8a, 0x90, 0xcb, 0x86,
+ 0x41, 0x46, 0xc0, 0xc2, 0x62, 0xa3, 0x88, 0x03, 0x33, 0xd4, 0x2f, 0xd8,
+ 0xe2, 0x99, 0x6e, 0x3f, 0xf3, 0x30, 0xf2, 0xf5, 0xcf, 0x54, 0xb0, 0xcc,
+ 0xa1, 0xd4, 0xc5, 0xf6, 0xd7, 0xf2, 0x10, 0xf7, 0xc7, 0x3c, 0x2d, 0x30,
+ 0xaa, 0xce, 0xa1, 0xed, 0xbb, 0xd5, 0x5d, 0x8c, 0xf5, 0x27, 0xa4, 0xa9,
+ 0xc0, 0x67, 0x3e, 0x4d, 0x75, 0x53, 0x49, 0xac, 0x6a, 0x55, 0xfa, 0x74,
+ 0xb0, 0x3e, 0xe5, 0x59, 0x4b, 0xd2, 0xf0, 0x49, 0x67, 0x76, 0x2b, 0xde,
+ 0x62, 0x82, 0xbb, 0x08, 0xbc, 0x81, 0xf0, 0xd9, 0x4c, 0xe0, 0x90, 0xea,
+ 0x42, 0xf3, 0xb7, 0xe4, 0xac, 0x74, 0x0e, 0x06, 0xe4, 0x48, 0x22, 0x26,
+ 0x2c, 0x2a, 0xcd, 0x77, 0x6f, 0x31, 0x07, 0x59, 0x71, 0xde, 0x75, 0xa8,
+ 0xa0, 0x02, 0xb8, 0xff, 0x5a, 0x74, 0xf3, 0x7b, 0x07, 0x6b, 0xdd, 0x8d,
+ 0xdc, 0x4c, 0xf4, 0x64, 0xed, 0x4f, 0xef, 0x1e, 0x09, 0xec, 0x8b, 0x22,
+ 0x9e, 0xd6, 0x71, 0x04, 0xe1, 0xc3, 0xdd, 0x9c, 0xc6, 0x37, 0x88, 0xb0,
+ 0x43, 0x8f, 0xd7, 0xd3, 0xee, 0x09, 0x47, 0xbe, 0xa6, 0x2f, 0x2b, 0x61,
+ 0xb1, 0x6e, 0xee, 0x81, 0xaa, 0xcf, 0x12, 0x36, 0x62, 0xb6, 0x5c, 0x07,
+ 0x57, 0x88, 0xea, 0x8f, 0x35, 0x1b, 0x4e, 0x65, 0x23, 0x1a, 0x09, 0x95,
+ 0xe8, 0xd1, 0x9a, 0x16, 0x41, 0x8d, 0x92, 0xe6, 0x0b, 0x80, 0xce, 0x34,
+ 0x29, 0xdb, 0xc3, 0xf6, 0x87, 0x24, 0x6b, 0xb4, 0xfc, 0xe4, 0x0e, 0xc5,
+ 0xb8, 0xfa, 0x37, 0xe8, 0xd8, 0xea, 0xb8, 0x50, 0x6b, 0xb8, 0x9e, 0xcf,
+ 0xfe, 0x7d, 0x1a, 0xb4, 0x92, 0xf9, 0x9c, 0xbc, 0xd6, 0xbd, 0x80, 0xe2,
+ 0xb3, 0x52, 0xf8, 0x63, 0x8e, 0x5b, 0x28, 0xf2, 0x81, 0x15, 0xe7, 0xe0,
+ 0x95, 0x48, 0xce, 0xd2, 0xdf, 0x9b, 0x9b, 0xee, 0x97, 0x18, 0x20, 0x6d,
+ 0xdf, 0xf6, 0x7f, 0x36, 0x16, 0x74, 0x90, 0x77, 0x44, 0xd6, 0x2a, 0xd7,
+ 0x81, 0xad, 0x5d, 0x2d, 0x29, 0x7d, 0xdf, 0xda, 0xd7, 0x1c, 0x10, 0x52,
+ 0xb4, 0x49, 0x2f, 0xf6, 0x0b, 0xd4, 0xc0, 0x29, 0xf9, 0x1d, 0x86, 0x04,
+ 0xf9, 0xf5, 0x8a, 0xb1, 0x47, 0x1c, 0xbd, 0xb5,
+};
+
+/* q=(p-1)/2 for prime prime_safe_6144 */
+static const unsigned char sub2_prime_safe_6144[] = {
+ 0x5c, 0x87, 0xe0, 0xa0, 0xa5, 0x6f, 0x0d, 0x0e, 0x40, 0x50, 0x6b, 0x1c,
+ 0xc0, 0x88, 0x79, 0x84, 0xe5, 0x60, 0x30, 0x46, 0x2f, 0x46, 0x0b, 0x90,
+ 0xd0, 0x0c, 0x28, 0x6b, 0x30, 0x09, 0xfe, 0x1c, 0x00, 0x13, 0x6c, 0xb8,
+ 0xe9, 0x39, 0xfe, 0x2e, 0x86, 0x78, 0x90, 0x67, 0x3b, 0x22, 0x5d, 0xc5,
+ 0xae, 0x64, 0x2d, 0x2c, 0x86, 0x66, 0xa4, 0x5d, 0x5f, 0xc3, 0x39, 0x6d,
+ 0x7a, 0xde, 0xbe, 0x0e, 0xa0, 0xdd, 0x74, 0x4f, 0xc6, 0x61, 0x0c, 0x13,
+ 0xfd, 0x5e, 0x63, 0x67, 0xec, 0x23, 0xfa, 0xf4, 0xb8, 0xe6, 0x1b, 0x9a,
+ 0x61, 0xcd, 0xad, 0x7f, 0xe1, 0x86, 0x55, 0x8e, 0xcb, 0xc6, 0x13, 0x4a,
+ 0xc6, 0x78, 0x85, 0x2e, 0x91, 0x42, 0x2d, 0x3e, 0x79, 0x68, 0xc5, 0xbe,
+ 0x37, 0x8b, 0x84, 0x89, 0x80, 0x64, 0xef, 0xbc, 0xf0, 0xb7, 0x64, 0x7c,
+ 0x69, 0xe0, 0xee, 0xd9, 0x7a, 0x12, 0x15, 0x7d, 0x2e, 0x33, 0x12, 0x95,
+ 0x9c, 0xe8, 0x9c, 0xa4, 0x7d, 0x3b, 0x27, 0xab, 0xd1, 0x90, 0x61, 0x9c,
+ 0x17, 0x42, 0xb3, 0x98, 0xc9, 0x42, 0x9e, 0x38, 0x11, 0x8a, 0x76, 0x36,
+ 0x42, 0x94, 0x70, 0x27, 0xe6, 0x63, 0x1d, 0xe7, 0x8c, 0x98, 0x1d, 0x80,
+ 0xff, 0x4f, 0x0b, 0x32, 0x8e, 0x7a, 0x18, 0x86, 0x4e, 0x91, 0xa0, 0x42,
+ 0xb6, 0x6e, 0xf2, 0xfb, 0xc8, 0x12, 0xb4, 0xbd, 0x1e, 0x6b, 0x72, 0x21,
+ 0x36, 0x43, 0x82, 0x03, 0x53, 0xc1, 0x0e, 0xfe, 0x2f, 0x6c, 0x81, 0xb0,
+ 0x10, 0x4d, 0x2e, 0x35, 0x7f, 0x29, 0x86, 0x82, 0xc9, 0x0d, 0xd0, 0xed,
+ 0xfd, 0x00, 0x97, 0xc2, 0x44, 0xf0, 0x2b, 0x33, 0x3f, 0x71, 0xf3, 0x4c,
+ 0xa6, 0xd9, 0xe9, 0x78, 0x67, 0x79, 0xef, 0x82, 0x86, 0xab, 0xa1, 0x66,
+ 0xfe, 0x03, 0x1e, 0x73, 0x88, 0x9a, 0x3f, 0xa8, 0xc7, 0x5b, 0x92, 0x00,
+ 0xf1, 0x93, 0x23, 0xf3, 0xe8, 0xab, 0x87, 0x07, 0x78, 0x89, 0x62, 0xbc,
+ 0x96, 0xc3, 0x87, 0xd8, 0x8c, 0xb5, 0x6b, 0xa2, 0x19, 0xa3, 0x26, 0x5e,
+ 0x62, 0xe3, 0x12, 0x7c, 0x3e, 0x3d, 0x30, 0xff, 0x39, 0x4a, 0x90, 0xe6,
+ 0xe8, 0x9d, 0x69, 0xae, 0xbb, 0xbb, 0x5e, 0xc3, 0x6c, 0x5e, 0xc7, 0x2f,
+ 0x79, 0x72, 0x90, 0x00, 0xec, 0xda, 0x23, 0xfb, 0x8e, 0x28, 0xb8, 0x1c,
+ 0xb5, 0x63, 0xf5, 0x76, 0xc8, 0x6b, 0xe2, 0x69, 0xe6, 0xc7, 0x25, 0xec,
+ 0x08, 0xf8, 0x69, 0xb3, 0x1b, 0x3b, 0xf1, 0x0b, 0x09, 0xde, 0xe9, 0x2a,
+ 0x25, 0x0e, 0x30, 0xaa, 0x44, 0x0d, 0x34, 0xc2, 0xcf, 0xae, 0xe2, 0xdb,
+ 0xb1, 0x3f, 0x39, 0x05, 0x44, 0xc8, 0x12, 0x47, 0x9c, 0xd9, 0x79, 0x5b,
+ 0x09, 0x47, 0x28, 0x5a, 0x69, 0xf5, 0x61, 0xd6, 0x75, 0x46, 0x93, 0x8b,
+ 0xde, 0x83, 0xe9, 0x0a, 0xc0, 0x24, 0xf0, 0x4b, 0xa0, 0x8b, 0x6b, 0x1d,
+ 0x92, 0x74, 0x45, 0xfe, 0xd1, 0x8c, 0x5e, 0xa9, 0x2e, 0xf1, 0x10, 0xe7,
+ 0x3e, 0x37, 0x88, 0x1c, 0x38, 0x32, 0x62, 0x0a, 0xf9, 0x94, 0x63, 0x33,
+ 0x7e, 0x68, 0x91, 0x02, 0x40, 0x40, 0x63, 0x62, 0xba, 0xfa, 0xee, 0x58,
+ 0x20, 0x25, 0x89, 0x7d, 0x6d, 0xea, 0x9b, 0x66, 0x98, 0xd5, 0xeb, 0x8e,
+ 0x8c, 0x03, 0xce, 0x84, 0xcd, 0x8b, 0x50, 0x7f, 0x0f, 0x37, 0x9f, 0x9a,
+ 0x2d, 0x73, 0x38, 0x42, 0xcc, 0x18, 0x6a, 0x4a, 0x62, 0xf8, 0x1b, 0x1a,
+ 0xd0, 0xf6, 0xa3, 0x31, 0x9e, 0x07, 0xe7, 0xe2, 0xcf, 0x3e, 0x34, 0x12,
+ 0xb2, 0x49, 0x98, 0x1b, 0x1c, 0x58, 0xcc, 0xb6, 0x1b, 0xfa, 0xe7, 0xb2,
+ 0x25, 0xf7, 0xd3, 0x7f, 0xb5, 0x55, 0x55, 0x5b, 0x14, 0xf6, 0x9c, 0x40,
+ 0x0f, 0xac, 0x1a, 0xc4, 0x1f, 0x80, 0x8e, 0x64, 0x11, 0xa4, 0x1b, 0xd3,
+ 0xe9, 0x58, 0xd8, 0xf7, 0x22, 0x2c, 0x85, 0x7d, 0x82, 0xec, 0xf0, 0xad,
+ 0xa9, 0x9a, 0x4e, 0xcc, 0x98, 0x14, 0x54, 0x9d, 0xc7, 0x0d, 0xd6, 0x45,
+ 0x48, 0x48, 0xe4, 0xb8, 0xc5, 0x75, 0x5c, 0x88, 0xea, 0xb3, 0xc3, 0xa7,
+ 0xed, 0x93, 0xa7, 0xbf, 0xdc, 0x2a, 0x3f, 0xaf, 0x0c, 0x04, 0x7b, 0xf9,
+ 0x8e, 0x01, 0x1d, 0x02, 0x6f, 0x66, 0x08, 0x03, 0x3f, 0x0a, 0xe1, 0x92,
+ 0x06, 0x6f, 0x86, 0xfc, 0x43, 0x60, 0x26, 0x55, 0x87, 0xba, 0x82, 0x5f,
+ 0x79, 0xc8, 0x14, 0x68, 0x91, 0x0b, 0xcb, 0x66, 0x14, 0x88, 0x84, 0xd3,
+ 0xa9, 0xa1, 0x75, 0x48, 0xa8, 0xd7, 0xaa, 0xd0, 0x81, 0xb3, 0xbc, 0x31,
+ 0xd9, 0xd8, 0x07, 0xac, 0xae, 0x9b, 0xf3, 0x98, 0x45, 0xe5, 0x50, 0x22,
+ 0x89, 0x3d, 0x52, 0x84, 0xfd, 0xd3, 0x4c, 0xee, 0xfb, 0xf4, 0x98, 0x2d,
+ 0x61, 0x4e, 0x86, 0xef, 0x9c, 0xcc, 0x92, 0x86, 0xd9, 0x2b, 0xdb, 0x3c,
+ 0x01, 0x18, 0x7c, 0x43, 0x6f, 0x3c, 0xda, 0x5f, 0x1f, 0x29, 0xff, 0xba,
+ 0x07, 0xa6, 0x98, 0x16, 0xf3, 0x2b, 0xa5, 0x2b, 0xa9, 0x9d, 0x05, 0x8c,
+ 0xc3, 0x55, 0xc8, 0x72, 0x99, 0xc2, 0x29, 0xbd, 0x0b, 0xe2, 0xf8, 0xc6,
+ 0x61, 0xf2, 0x08, 0xa9, 0x95, 0xda, 0xda, 0x47, 0x73, 0x69, 0x02, 0x21,
+ 0xad, 0xb5, 0x18, 0x63, 0xe5, 0x57, 0xc8, 0xe0, 0x3b, 0x21, 0xc3, 0x32,
+ 0xf7, 0x66, 0xc1, 0x5f, 0x51, 0x6c, 0x16, 0xd6, 0xf5, 0xda, 0x8d, 0x5a,
+ 0xdf, 0xd0, 0xf3, 0xc9, 0xa8, 0x0a, 0x84, 0x13, 0x93, 0x9e, 0x66, 0x29,
+ 0xc1, 0x33, 0xea, 0x79, 0x06, 0x93, 0x30, 0x43, 0x82, 0x97, 0x55, 0x31,
+ 0x2a, 0xe6, 0x4d, 0x77, 0x16, 0x10, 0x11, 0x8a, 0x7d, 0x2e, 0x14, 0xa0,
+ 0xf0, 0xc4, 0xc1, 0x8c, 0xe0, 0x9b, 0x46, 0x52, 0x48, 0xfb, 0x20, 0x1b,
+ 0xb8, 0x15, 0x06, 0xc1, 0x5d, 0xab, 0x37, 0x11, 0x9a, 0x5c, 0xb7, 0x19,
+};
+
+/* q=(p-1)/2 for prime prime_safe_8192 */
+static const unsigned char sub2_prime_safe_8192[] = {
+ 0x4d, 0xd3, 0xcd, 0xd1, 0x43, 0x2a, 0x73, 0xcc, 0x88, 0xad, 0x9a, 0xc0,
+ 0xea, 0xbd, 0x45, 0x37, 0x26, 0xa6, 0xb0, 0xae, 0xe9, 0xe7, 0x86, 0x32,
+ 0xbf, 0x6d, 0x6c, 0x67, 0x14, 0x56, 0x50, 0x1c, 0x40, 0xf7, 0x50, 0x8a,
+ 0x12, 0x90, 0xb3, 0xb3, 0x1d, 0x36, 0x07, 0xc0, 0x1e, 0xc4, 0xbc, 0xff,
+ 0x38, 0xa1, 0xab, 0xe1, 0xd4, 0xaa, 0x0f, 0x10, 0x45, 0x77, 0x07, 0xd3,
+ 0x45, 0xc4, 0x40, 0x9e, 0xf4, 0x2e, 0x20, 0x23, 0x82, 0xef, 0xec, 0x36,
+ 0xcc, 0x32, 0x8b, 0x54, 0xfc, 0xe2, 0x46, 0x01, 0x5d, 0x57, 0x35, 0x9b,
+ 0x3b, 0x64, 0xfd, 0x47, 0x68, 0x6b, 0xcd, 0x1e, 0x65, 0xe8, 0xa2, 0x04,
+ 0xeb, 0xa7, 0x94, 0x28, 0xca, 0x49, 0x2d, 0x81, 0x59, 0x5e, 0xbc, 0x69,
+ 0xe1, 0x3b, 0x01, 0x8a, 0x8b, 0x85, 0xaa, 0x84, 0x01, 0x21, 0x4f, 0x13,
+ 0x2b, 0x19, 0xb9, 0x73, 0x5e, 0x87, 0x7c, 0x9e, 0x96, 0x59, 0xc5, 0x26,
+ 0x33, 0x8b, 0xfe, 0xf4, 0x81, 0xd6, 0xc6, 0x1a, 0x42, 0x72, 0xc1, 0xef,
+ 0xce, 0x02, 0x49, 0x81, 0x93, 0x0c, 0xe0, 0xf8, 0x92, 0x34, 0x7b, 0x2a,
+ 0x4b, 0x67, 0x1c, 0x28, 0xde, 0xb6, 0x1e, 0xce, 0x06, 0x6c, 0x37, 0x09,
+ 0xa6, 0x45, 0xfb, 0x1a, 0x57, 0x6c, 0x42, 0x8e, 0x8e, 0xc7, 0x61, 0x56,
+ 0xd5, 0xd1, 0x62, 0xa0, 0x3b, 0x3f, 0x97, 0x97, 0x1c, 0x7a, 0x35, 0x1c,
+ 0x99, 0x9e, 0x8b, 0xe7, 0x0f, 0xf4, 0xe1, 0xc6, 0xcf, 0x72, 0xdf, 0x6b,
+ 0x56, 0xcd, 0x11, 0xec, 0x03, 0x79, 0xbe, 0x1c, 0xea, 0xd7, 0x2b, 0xdb,
+ 0x72, 0xe1, 0xcd, 0x45, 0x46, 0x37, 0x69, 0xe0, 0x8d, 0x32, 0x09, 0x00,
+ 0x0c, 0x29, 0xe5, 0x19, 0x44, 0x47, 0x60, 0x2f, 0x96, 0xd9, 0x1e, 0x8a,
+ 0x0d, 0xac, 0x2e, 0x10, 0x74, 0x29, 0x72, 0x94, 0x20, 0xde, 0x4f, 0x04,
+ 0x14, 0xd5, 0xd2, 0xa1, 0xcc, 0x87, 0x6b, 0x95, 0x5c, 0xdc, 0x32, 0x4e,
+ 0xc1, 0xf1, 0x8d, 0x13, 0x2c, 0xb2, 0xf9, 0x06, 0x64, 0xe2, 0xc7, 0x86,
+ 0xe7, 0xd0, 0x8c, 0x7e, 0x45, 0xbb, 0xf4, 0xf0, 0x8c, 0xbd, 0x81, 0xea,
+ 0x1b, 0xc6, 0xae, 0x9b, 0x95, 0xd6, 0xac, 0x2f, 0x39, 0xb9, 0x67, 0x42,
+ 0x72, 0xe4, 0xba, 0x8e, 0xf9, 0xac, 0x21, 0x3b, 0xff, 0x29, 0xd0, 0x61,
+ 0x33, 0x10, 0xd7, 0xf1, 0x30, 0xe9, 0x42, 0x59, 0x81, 0xa6, 0xec, 0x3e,
+ 0xc2, 0xf0, 0xd4, 0x50, 0x24, 0x2e, 0x8d, 0x54, 0xd6, 0x60, 0xb4, 0x92,
+ 0x63, 0x7d, 0x5a, 0x91, 0x1f, 0x51, 0xc6, 0x9a, 0x94, 0xe7, 0xcd, 0x72,
+ 0xc2, 0x1d, 0x85, 0x93, 0x9b, 0x3f, 0x4e, 0xd3, 0x58, 0x22, 0xb0, 0x21,
+ 0x0f, 0x25, 0x92, 0x68, 0x9b, 0x45, 0xb8, 0x68, 0xca, 0xaa, 0x0a, 0x5c,
+ 0xa3, 0x9e, 0xc6, 0xf2, 0x2f, 0xc0, 0x8d, 0x10, 0x8b, 0x8b, 0xdf, 0xc9,
+ 0x11, 0x26, 0x3b, 0x98, 0x6e, 0x4e, 0x42, 0x73, 0x34, 0x66, 0x6b, 0x08,
+ 0x82, 0x7f, 0xb8, 0xc3, 0x59, 0xd4, 0xcd, 0x89, 0xca, 0x9a, 0xfe, 0xb4,
+ 0x14, 0x4d, 0xb7, 0xae, 0x7b, 0xb3, 0x54, 0x37, 0xc4, 0x87, 0xc9, 0x6f,
+ 0xa9, 0x12, 0x1f, 0xed, 0x97, 0xa0, 0x09, 0x19, 0x52, 0x7f, 0x97, 0x25,
+ 0xdc, 0x50, 0x73, 0xe4, 0xe5, 0xcc, 0x09, 0xfc, 0xe9, 0x7d, 0x41, 0x34,
+ 0x59, 0x47, 0xe9, 0x8b, 0xc6, 0x49, 0xfa, 0xc0, 0x72, 0x2d, 0x19, 0x8d,
+ 0xb5, 0x6c, 0x5f, 0x9b, 0xd3, 0xf0, 0xb1, 0x8e, 0xb5, 0x61, 0xfd, 0x50,
+ 0x97, 0xe0, 0xb9, 0x2a, 0xea, 0xf1, 0x33, 0x9d, 0xb5, 0x9d, 0x54, 0x58,
+ 0x2a, 0x02, 0x0e, 0xdd, 0xe0, 0xf2, 0x9d, 0x29, 0x58, 0xb3, 0x85, 0x89,
+ 0x1f, 0x66, 0xd4, 0xcd, 0x07, 0x5d, 0xd1, 0xba, 0xb6, 0xb7, 0xbb, 0xba,
+ 0x32, 0x71, 0x8b, 0x46, 0x52, 0xdd, 0x76, 0x28, 0xb9, 0xe7, 0x25, 0xf3,
+ 0x37, 0x9e, 0x8a, 0xab, 0x21, 0xf0, 0x8b, 0xbb, 0xb3, 0x55, 0xee, 0x4e,
+ 0xcd, 0x88, 0x2e, 0xe2, 0x74, 0x8f, 0x55, 0x16, 0x8a, 0xdd, 0xe2, 0x04,
+ 0xa3, 0x18, 0x70, 0xdc, 0x49, 0x4a, 0x2f, 0xdb, 0xf3, 0xbf, 0x4b, 0xa1,
+ 0xe0, 0x24, 0x2d, 0xd7, 0xf5, 0x3a, 0x57, 0x46, 0x3c, 0xb5, 0xb3, 0x41,
+ 0xb1, 0x44, 0x0b, 0xd2, 0x2b, 0x2e, 0xac, 0x7d, 0xb6, 0x1c, 0x2b, 0xa6,
+ 0xf7, 0xeb, 0x9b, 0x22, 0x1c, 0xad, 0xd5, 0xca, 0x72, 0x04, 0x18, 0x69,
+ 0x96, 0x2c, 0xd0, 0x19, 0x71, 0x38, 0xcc, 0xf6, 0x33, 0x2f, 0x7b, 0xf1,
+ 0x4e, 0x0c, 0xb4, 0xb9, 0x37, 0xed, 0x9f, 0x66, 0x0c, 0xad, 0x7e, 0xd6,
+ 0xeb, 0x37, 0x4e, 0x83, 0xe0, 0x32, 0x80, 0xba, 0xee, 0x9b, 0x8d, 0xce,
+ 0x2f, 0x49, 0x99, 0x7c, 0x3f, 0x32, 0xea, 0xda, 0x8a, 0x9a, 0xd6, 0x82,
+ 0xda, 0xe9, 0x12, 0xe3, 0xb8, 0xad, 0x72, 0x5b, 0xac, 0x35, 0x61, 0xad,
+ 0x6c, 0xea, 0x77, 0x19, 0x5a, 0x85, 0xad, 0x95, 0x66, 0xc0, 0x67, 0x6a,
+ 0x16, 0xe4, 0x84, 0xca, 0x7a, 0xf9, 0x3e, 0x57, 0xdd, 0x2d, 0x69, 0xee,
+ 0x66, 0xeb, 0xfb, 0xf5, 0x21, 0x71, 0x61, 0x1a, 0x10, 0xdc, 0x8a, 0x92,
+ 0x74, 0x19, 0x35, 0xb7, 0xd8, 0x76, 0xbb, 0x2f, 0x22, 0xdf, 0x81, 0x51,
+ 0x5c, 0x1e, 0x52, 0xfa, 0xba, 0x71, 0x8c, 0x44, 0x90, 0xa7, 0x53, 0x04,
+ 0x51, 0xd2, 0xc9, 0xb4, 0xa4, 0x4b, 0x5e, 0xa3, 0xe9, 0xf5, 0xb3, 0x94,
+ 0xd4, 0x5d, 0xdf, 0x3c, 0x02, 0xfd, 0x23, 0x44, 0xa7, 0x06, 0x71, 0x36,
+ 0x5d, 0xf2, 0xfc, 0x5d, 0x72, 0xae, 0x94, 0xf3, 0xee, 0xb8, 0xbf, 0x4a,
+ 0x6b, 0xab, 0x06, 0x1e, 0x6f, 0x2f, 0xde, 0x6e, 0x07, 0xc7, 0x6b, 0x37,
+ 0x85, 0x03, 0xdc, 0x03, 0x92, 0x31, 0x26, 0x76, 0xa2, 0xa7, 0x86, 0xcf,
+ 0x97, 0x41, 0xb5, 0x75, 0xde, 0x7f, 0xd4, 0xf9, 0x39, 0xd9, 0xad, 0xd5,
+ 0x56, 0x76, 0xd6, 0x44, 0x51, 0x06, 0xc6, 0xc7, 0xda, 0x7b, 0xb9, 0x8f,
+ 0x60, 0x17, 0x69, 0xa2, 0x8a, 0xa5, 0xa5, 0x73, 0xea, 0x77, 0xd8, 0xe3,
+ 0x69, 0xc7, 0xfc, 0x12, 0x09, 0x19, 0x9f, 0x47, 0x4a, 0xde, 0x40, 0xda,
+ 0x6a, 0x68, 0x89, 0xde, 0x3f, 0x12, 0xda, 0x2d, 0xff, 0x8a, 0xdd, 0x7c,
+ 0x4d, 0x76, 0x3c, 0x72, 0x31, 0xe3, 0x93, 0x6a, 0xc4, 0x9e, 0xb1, 0xad,
+ 0xbe, 0x43, 0x31, 0x9a, 0x03, 0x14, 0x11, 0x84, 0x7f, 0xb6, 0xde, 0xf0,
+ 0x3a, 0xd9, 0xb8, 0x89, 0x13, 0x31, 0xe5, 0x49, 0x9b, 0x43, 0x75, 0xfb,
+ 0xa4, 0x68, 0xcb, 0x7a, 0x01, 0x1f, 0x2e, 0xb4, 0xba, 0xaf, 0x4a, 0xf7,
+ 0x19, 0x5c, 0xdd, 0x2a, 0xe2, 0xa1, 0x3a, 0x00, 0x70, 0x87, 0x8b, 0x02,
+ 0xb1, 0x1e, 0x2c, 0x65, 0xf0, 0x6a, 0x54, 0xf2, 0x8d, 0x1d, 0xc2, 0x3f,
+ 0x0c, 0xc3, 0xd6, 0xb3, 0xe6, 0xcd, 0xcb, 0xd8, 0x19, 0x6b, 0xdc, 0x0f,
+ 0x4b, 0x34, 0xba, 0x87, 0xb0, 0xb4, 0xd9, 0xe4, 0xe7, 0x39, 0xbe, 0x2f,
+ 0xea, 0x84, 0x6f, 0xea, 0x03, 0xba, 0xb0, 0x6b, 0xa8, 0x29, 0x73, 0xae,
+ 0x37, 0x82, 0x2c, 0xb2, 0xde, 0xb8, 0x4c, 0x8a, 0xfc, 0xde, 0x1a, 0x3c,
+ 0x35, 0x32, 0x56, 0x2f, 0x83, 0xe1, 0x44, 0xc4, 0x7f, 0x08, 0xbd, 0x7b,
+ 0x9e, 0xdf, 0x41, 0xff, 0xf5, 0x8e, 0xa9, 0x5f, 0x6a, 0x04, 0xb8, 0x87,
+ 0xbe, 0x4a, 0x8c, 0xf9, 0x25, 0xfa, 0xa2, 0x31, 0xf9, 0x76, 0x1f, 0xfc,
+ 0xf2, 0x7d, 0xdf, 0x12, 0x59, 0x0c, 0x29, 0xe7, 0x0b, 0x20, 0x0f, 0x13,
+ 0xb1, 0x4c, 0xc9, 0xe4, 0xa4, 0xc7, 0xcc, 0x06, 0xec, 0x39, 0xb2, 0xcc,
+ 0xd6, 0x7f, 0xff, 0x11, 0x35, 0x68, 0xfd, 0xd0, 0xf2, 0x73, 0xd5, 0x9e,
+ 0x39, 0x08, 0x56, 0x39,
+};
+
+/* q=(p-1)/2 for prime prime_weak_1024 */
+static const unsigned char sub2_prime_weak_1024[] = {
+ 0x72, 0x41, 0x04, 0xa5, 0x35, 0xdf, 0x4d, 0xa8, 0x88, 0xd0, 0x3a, 0x12,
+ 0xff, 0xa8, 0x0e, 0x05, 0x6b, 0x68, 0x5e, 0x69, 0x92, 0x44, 0xba, 0xba,
+ 0x59, 0xeb, 0x35, 0xfa, 0x63, 0xaf, 0xb5, 0x76, 0x0f, 0x1d, 0x10, 0x01,
+ 0x0b, 0x3a, 0xe6, 0x22, 0x25, 0x5f, 0xad, 0xac, 0x56, 0xff, 0x58, 0x0c,
+ 0x35, 0x1c, 0x45, 0xe5, 0xed, 0xe8, 0xbb, 0xa1, 0x71, 0xd1, 0xc3, 0xc5,
+ 0x4c, 0x97, 0x08, 0xec, 0x64, 0x81, 0x42, 0x0e, 0xe9, 0x33, 0x94, 0x5e,
+ 0xc7, 0xfd, 0xab, 0x79, 0x31, 0xc5, 0x16, 0x3e, 0x1c, 0x77, 0xd1, 0x06,
+ 0x35, 0x1b, 0x68, 0x4c, 0x89, 0xa3, 0xa4, 0x20, 0x72, 0xe6, 0xed, 0x82,
+ 0x26, 0x51, 0x09, 0x1f, 0x8d, 0x4d, 0xcd, 0x07, 0x5c, 0x34, 0x3e, 0x80,
+ 0xde, 0x0b, 0x37, 0xa8, 0xb2, 0x0e, 0xd5, 0x90, 0xba, 0xa4, 0x89, 0x1b,
+ 0x56, 0x32, 0xc5, 0xfc, 0x43, 0xec, 0xd7, 0xe8,
+};
+
+/* q=(p-1)/2 for prime prime_weak_2048 */
+static const unsigned char sub2_prime_weak_2048[] = {
+ 0x5a, 0x84, 0x41, 0xb5, 0x11, 0x1c, 0xef, 0x81, 0x7f, 0x39, 0xb5, 0xfd,
+ 0x86, 0xa7, 0x56, 0xa5, 0x87, 0xfe, 0xd9, 0x13, 0xf3, 0xe9, 0x1a, 0xea,
+ 0x41, 0xf9, 0x5e, 0x14, 0xff, 0xa8, 0x7b, 0xb5, 0xdb, 0xca, 0x1c, 0x7f,
+ 0xee, 0x3c, 0xb3, 0xcd, 0x40, 0x45, 0xe1, 0x10, 0x27, 0x29, 0x81, 0x15,
+ 0x03, 0xf6, 0x54, 0xde, 0x91, 0x68, 0xdd, 0x1a, 0x98, 0x88, 0x10, 0xdb,
+ 0x27, 0xf0, 0xca, 0x05, 0xd8, 0x59, 0x9b, 0x90, 0x06, 0xb5, 0x6a, 0x48,
+ 0xae, 0x42, 0xf4, 0xd7, 0x45, 0x79, 0x4a, 0x73, 0xa2, 0x7a, 0xe6, 0x02,
+ 0x41, 0x2b, 0xc0, 0x90, 0xc1, 0x8c, 0x24, 0x16, 0xf1, 0x8e, 0x50, 0xbf,
+ 0xf7, 0x08, 0x5c, 0xf4, 0x20, 0x7e, 0x6d, 0x21, 0xbe, 0x8c, 0x72, 0x34,
+ 0x4f, 0xf6, 0xaf, 0x61, 0x8f, 0xc0, 0x77, 0xae, 0x12, 0x2f, 0x34, 0x56,
+ 0x4c, 0xce, 0x3a, 0x4b, 0x2d, 0xd9, 0xf3, 0xd9, 0x32, 0xbc, 0x7d, 0x9e,
+ 0x08, 0x80, 0x02, 0x25, 0xcc, 0x07, 0x45, 0x3d, 0x9c, 0x04, 0x1a, 0x5c,
+ 0xb6, 0x84, 0x32, 0x8b, 0xc8, 0xa4, 0xb1, 0x23, 0xb2, 0x55, 0xe3, 0x68,
+ 0x79, 0x67, 0xc4, 0x83, 0xf5, 0xd1, 0xae, 0xf9, 0xd1, 0x7d, 0xee, 0xbd,
+ 0x9f, 0x3f, 0x51, 0x6b, 0x8d, 0x21, 0x56, 0xba, 0x5e, 0xdd, 0xe7, 0x90,
+ 0xc8, 0xe9, 0x35, 0x8e, 0xce, 0xd4, 0x02, 0xc4, 0x27, 0xd8, 0xa2, 0xd1,
+ 0x43, 0x48, 0x09, 0x7e, 0xe5, 0x92, 0xf0, 0x89, 0x04, 0x23, 0x8e, 0xc1,
+ 0x96, 0x8a, 0x21, 0x10, 0x04, 0x18, 0xaa, 0x16, 0x4d, 0xa4, 0xfb, 0x5b,
+ 0x16, 0x92, 0xf5, 0x14, 0x5f, 0x89, 0x95, 0xe9, 0xa2, 0xc6, 0x81, 0x4f,
+ 0xd2, 0xd5, 0x75, 0xe0, 0x24, 0x68, 0x83, 0x73, 0x0f, 0x50, 0x1f, 0x02,
+ 0x10, 0x3c, 0xbe, 0x68, 0xe8, 0x56, 0x30, 0xc4, 0xb6, 0x1d, 0xc4, 0x51,
+ 0xaa, 0x36, 0x40, 0x2c,
+};
+
+/* q=(p-1)/2 for prime prime_weak_3072 */
+static const unsigned char sub2_prime_weak_3072[] = {
+ 0x4a, 0x19, 0x63, 0xa3, 0xa8, 0xd1, 0x81, 0xcd, 0xf9, 0x28, 0xae, 0x34,
+ 0xd7, 0x82, 0x9e, 0x3b, 0x31, 0x51, 0x76, 0x2d, 0x66, 0x6f, 0xc0, 0x79,
+ 0x96, 0xe7, 0x52, 0xd2, 0xcf, 0x16, 0xd5, 0xaf, 0xc8, 0xde, 0xc9, 0xb0,
+ 0xeb, 0xbd, 0xb8, 0xb7, 0xf9, 0xc9, 0x5f, 0xd4, 0x7e, 0x66, 0x80, 0x7a,
+ 0xa4, 0x84, 0x00, 0x46, 0x69, 0x7f, 0x25, 0x6c, 0x15, 0xb7, 0x21, 0x60,
+ 0x6c, 0x51, 0x45, 0x95, 0x8c, 0x01, 0x56, 0xf4, 0x27, 0x22, 0x04, 0x93,
+ 0x50, 0xd0, 0xe5, 0x4c, 0xf1, 0xec, 0xcd, 0x43, 0x9e, 0x41, 0xb5, 0x0d,
+ 0x3d, 0xb0, 0x5d, 0x3c, 0x06, 0x3c, 0xa8, 0x0f, 0xef, 0x20, 0x0a, 0x2c,
+ 0x0c, 0x54, 0x95, 0xba, 0x08, 0xda, 0x32, 0xff, 0x4e, 0x81, 0xd2, 0x77,
+ 0xef, 0xba, 0x47, 0x66, 0xbd, 0xea, 0x79, 0x94, 0x3a, 0xd9, 0x18, 0xf7,
+ 0xcc, 0xb2, 0xe5, 0xad, 0x3b, 0xe5, 0x51, 0x12, 0x94, 0x57, 0x7d, 0x4f,
+ 0xf5, 0xed, 0x66, 0x1a, 0x3d, 0x90, 0xeb, 0xed, 0xaa, 0x20, 0x73, 0x17,
+ 0xed, 0xe0, 0x67, 0x6e, 0x72, 0xe4, 0x93, 0xcb, 0xcc, 0xce, 0x01, 0x27,
+ 0x92, 0x44, 0x49, 0xef, 0xd4, 0xe3, 0x9f, 0x08, 0x64, 0x55, 0x35, 0x67,
+ 0x6d, 0x23, 0x4a, 0x46, 0x56, 0x8f, 0x78, 0xe5, 0xe9, 0xe6, 0xa1, 0xa2,
+ 0x5a, 0x10, 0x48, 0xcf, 0x7b, 0x68, 0x81, 0xf7, 0xe1, 0x02, 0x7b, 0x83,
+ 0xed, 0xd6, 0x51, 0x14, 0x46, 0x3e, 0x8e, 0xae, 0x96, 0x2d, 0x7e, 0x13,
+ 0x2d, 0x85, 0xac, 0x5c, 0xcd, 0x23, 0xf4, 0xd0, 0x6f, 0xd2, 0xad, 0x79,
+ 0xf2, 0xeb, 0x75, 0xb4, 0xda, 0xa7, 0x5e, 0x38, 0xe0, 0x6b, 0x4d, 0xdc,
+ 0x20, 0x1d, 0xe2, 0xb9, 0x2e, 0xa6, 0x8d, 0x8b, 0x9e, 0x9b, 0x52, 0x58,
+ 0x8a, 0xd3, 0xcd, 0x39, 0x75, 0xf9, 0x4f, 0x20, 0x68, 0xde, 0x1a, 0xe3,
+ 0xe8, 0x8d, 0x47, 0x8e, 0x15, 0xaf, 0x6c, 0x59, 0x9d, 0xa2, 0x57, 0x7a,
+ 0xc0, 0xe8, 0x45, 0x1b, 0xd5, 0xdd, 0x11, 0x5e, 0x16, 0xc4, 0x17, 0x92,
+ 0x5d, 0xd8, 0x0d, 0x54, 0xaf, 0x83, 0x88, 0x36, 0xe3, 0x5d, 0x9e, 0x51,
+ 0x33, 0x7c, 0xdc, 0xca, 0xeb, 0x2f, 0x46, 0x67, 0x02, 0x6e, 0x59, 0xa6,
+ 0x5e, 0x74, 0xe2, 0xe5, 0x8c, 0xcb, 0xf1, 0x50, 0x84, 0x9c, 0x6b, 0xc1,
+ 0x53, 0x5f, 0xe4, 0x8a, 0x92, 0xf8, 0x96, 0x3b, 0xfe, 0x5e, 0xfd, 0x3f,
+ 0xc9, 0x7f, 0x6b, 0x18, 0x81, 0x91, 0x96, 0x8b, 0x97, 0xa8, 0xcf, 0x2e,
+ 0x58, 0xb4, 0x60, 0x1f, 0xa1, 0x4c, 0x80, 0x2a, 0x99, 0xb4, 0x6b, 0xf7,
+ 0x28, 0xbe, 0x9f, 0x01, 0xa7, 0x81, 0x2f, 0x93, 0xee, 0x8b, 0x8c, 0x36,
+ 0x0f, 0x4e, 0xc8, 0xb2, 0xfc, 0x6b, 0xd3, 0x4f, 0xd0, 0xdd, 0x54, 0x3b,
+ 0x72, 0x6c, 0x7a, 0x2c, 0xc8, 0x0b, 0x33, 0xc4, 0x61, 0x54, 0xf2, 0x16,
+};
+
+/* q=(p-1)/2 for prime prime_weak_4096 */
+static const unsigned char sub2_prime_weak_4096[] = {
+ 0x7f, 0xa8, 0x69, 0xe6, 0x44, 0x8b, 0xaf, 0x5b, 0x7c, 0x51, 0xd8, 0x71,
+ 0x7c, 0xcf, 0x8b, 0xd0, 0xc9, 0x2b, 0x0a, 0x89, 0x89, 0x4f, 0x8c, 0x6e,
+ 0x03, 0x80, 0x61, 0x24, 0xe4, 0xec, 0xea, 0x05, 0x71, 0xeb, 0xfb, 0x30,
+ 0x10, 0xd4, 0xbd, 0xe0, 0x07, 0x87, 0x57, 0x1f, 0x3b, 0xbb, 0xa4, 0x6c,
+ 0x7e, 0xa1, 0x76, 0x5a, 0xd7, 0x00, 0x55, 0xe7, 0x68, 0x88, 0xe5, 0x69,
+ 0x32, 0x2d, 0x51, 0xb5, 0xdd, 0x68, 0xc9, 0xf5, 0x6d, 0x69, 0x50, 0x30,
+ 0x1c, 0x85, 0x9a, 0x27, 0x86, 0x78, 0xd8, 0x29, 0x3a, 0xa8, 0x9e, 0x94,
+ 0x01, 0x5a, 0xde, 0xa1, 0x4c, 0x10, 0x53, 0xa1, 0x5c, 0x90, 0xcd, 0x57,
+ 0x5b, 0x20, 0xbd, 0xb8, 0x71, 0xec, 0xd7, 0xc0, 0x8d, 0x60, 0x9c, 0xce,
+ 0x29, 0x2b, 0x65, 0x86, 0xb5, 0x33, 0xb7, 0x9e, 0x89, 0x3b, 0x39, 0xa9,
+ 0xca, 0x96, 0xe0, 0x82, 0x6d, 0xc1, 0xf2, 0x68, 0x5f, 0x16, 0xd3, 0x3d,
+ 0x07, 0xc0, 0x0d, 0xe8, 0x0b, 0x0a, 0x1d, 0x70, 0x24, 0x7d, 0x7a, 0xa2,
+ 0x54, 0x70, 0x5f, 0xcc, 0x70, 0xab, 0x75, 0x3b, 0x5b, 0x71, 0x51, 0xad,
+ 0x8a, 0xbc, 0x88, 0x58, 0x20, 0xee, 0x14, 0x87, 0x8f, 0x1b, 0xb4, 0xe6,
+ 0x89, 0xdf, 0x16, 0xf0, 0x39, 0x9c, 0x34, 0x76, 0xa8, 0x35, 0x68, 0x7d,
+ 0xe5, 0x8b, 0x9d, 0x2c, 0xfd, 0xf6, 0x5d, 0x3a, 0xdb, 0x27, 0x17, 0xb7,
+ 0x4b, 0xcc, 0x07, 0x3c, 0x92, 0xee, 0xec, 0x7a, 0x9a, 0x5a, 0x50, 0x3f,
+ 0x5d, 0x34, 0x3e, 0x27, 0xfd, 0xf0, 0x4b, 0xa3, 0x28, 0x0f, 0x25, 0x2c,
+ 0xce, 0x6e, 0x1a, 0x71, 0x15, 0x5a, 0xe4, 0x2c, 0x4a, 0x24, 0x4f, 0xdc,
+ 0x1b, 0x65, 0xe7, 0x1b, 0x58, 0xbe, 0x72, 0xc6, 0xad, 0xa1, 0xeb, 0xc4,
+ 0x6f, 0xd7, 0x68, 0x64, 0xa1, 0x2f, 0x85, 0x71, 0xb1, 0x88, 0xe2, 0x86,
+ 0x40, 0x2a, 0xac, 0x6b, 0xf9, 0x28, 0xb7, 0x59, 0xbf, 0x4e, 0x8e, 0x61,
+ 0xb0, 0xac, 0xae, 0x23, 0xea, 0x4c, 0xe0, 0x33, 0xfd, 0xd9, 0x6b, 0x08,
+ 0xed, 0x49, 0x2d, 0xb5, 0xe9, 0x38, 0x5b, 0xb4, 0xb9, 0x73, 0x83, 0x6e,
+ 0xa0, 0x56, 0x40, 0xa8, 0x8e, 0xa9, 0x3d, 0x22, 0x9c, 0x44, 0x93, 0x96,
+ 0x62, 0x25, 0xbf, 0x2f, 0x3c, 0xf7, 0xc2, 0x35, 0x12, 0x26, 0xce, 0x4f,
+ 0x65, 0x3a, 0xae, 0x03, 0x36, 0xe8, 0x29, 0x74, 0xed, 0x4f, 0xa3, 0x5b,
+ 0x31, 0x0e, 0xd9, 0xec, 0xf9, 0x3e, 0xeb, 0x61, 0x3d, 0x24, 0xbe, 0x6e,
+ 0xcd, 0xd5, 0x61, 0xc2, 0x05, 0x84, 0x19, 0xdc, 0x40, 0x61, 0x89, 0x47,
+ 0xd6, 0xd6, 0x07, 0xbf, 0xd7, 0xac, 0xb0, 0x86, 0xcc, 0x60, 0xfc, 0xb4,
+ 0x61, 0x8d, 0x88, 0x04, 0x62, 0x19, 0x9e, 0x52, 0x71, 0x6a, 0xf5, 0xb8,
+ 0xae, 0x8c, 0xbf, 0x02, 0xe5, 0x4d, 0x7a, 0xdd, 0xb8, 0xaa, 0xc1, 0xce,
+ 0x12, 0xa8, 0x1a, 0xbf, 0x96, 0xf5, 0xf9, 0x06, 0xf6, 0x9e, 0x5c, 0x38,
+ 0xde, 0x84, 0x7a, 0xc4, 0xbf, 0x2f, 0x1c, 0x20, 0x6b, 0xf6, 0xbb, 0xc6,
+ 0xbd, 0x76, 0x95, 0x4f, 0xfe, 0x00, 0xfa, 0x71, 0x67, 0xed, 0x46, 0x51,
+ 0xab, 0xee, 0x0a, 0x6b, 0x50, 0xec, 0xcb, 0xdc, 0xf3, 0x7e, 0x24, 0x3a,
+ 0xa1, 0xde, 0x9d, 0xc8, 0x8b, 0x9e, 0x19, 0xe5, 0x67, 0x14, 0x84, 0x8d,
+ 0xf4, 0x4e, 0xdb, 0x3a, 0x02, 0xaf, 0x17, 0x52, 0x8e, 0xbf, 0x9d, 0x54,
+ 0x96, 0x7b, 0x26, 0xa0, 0xc8, 0x5e, 0x2b, 0x0c, 0x29, 0x01, 0x48, 0x77,
+ 0xb8, 0xff, 0x9f, 0x06, 0x7c, 0x00, 0x02, 0x03, 0xea, 0x90, 0x13, 0x6e,
+ 0xae, 0x58, 0x9b, 0x81, 0x90, 0x06, 0x5a, 0x5b, 0x1c, 0xa4, 0xa4, 0xd5,
+ 0x73, 0xcc, 0x00, 0xd1, 0x17, 0x05, 0x19, 0xc1, 0x4f, 0x5c, 0x92, 0x5b,
+ 0xc0, 0x6f, 0xe9, 0xef, 0x82, 0x72, 0x28, 0x4e,
+};
+
+/* q=(p-1)/2 for prime prime_weak_6144 */
+static const unsigned char sub2_prime_weak_6144[] = {
+ 0x51, 0x12, 0x4b, 0x5b, 0x10, 0xb4, 0x6a, 0xbf, 0x16, 0x30, 0x26, 0xe4,
+ 0x40, 0xac, 0xce, 0x0e, 0x38, 0x76, 0x12, 0x14, 0x5b, 0x29, 0x1b, 0x04,
+ 0xc3, 0xd5, 0x60, 0xad, 0xf2, 0xd3, 0x1f, 0x44, 0x2a, 0x02, 0xf1, 0x84,
+ 0x84, 0xe5, 0x36, 0xcd, 0xe2, 0x46, 0x93, 0x57, 0xeb, 0xf7, 0x4f, 0x86,
+ 0xde, 0xa2, 0x47, 0x7f, 0x66, 0xf9, 0x73, 0x6f, 0x56, 0x79, 0x01, 0x1b,
+ 0xee, 0x1a, 0xe1, 0x67, 0x66, 0xaf, 0xe2, 0xc3, 0x87, 0xcc, 0xd3, 0xed,
+ 0x87, 0x8d, 0x66, 0xbb, 0x55, 0x25, 0x52, 0x84, 0xb0, 0x30, 0x71, 0xac,
+ 0x72, 0x29, 0x03, 0x8d, 0xa1, 0x0b, 0x88, 0xa8, 0x15, 0xa0, 0x4a, 0xc6,
+ 0xa4, 0x50, 0x1a, 0x4a, 0x92, 0x9c, 0x67, 0x84, 0xca, 0x73, 0x2a, 0x83,
+ 0x45, 0x6f, 0x6e, 0x20, 0xa5, 0x6c, 0x8f, 0xc0, 0x41, 0x0e, 0xdc, 0x0f,
+ 0x42, 0x30, 0x6f, 0x76, 0xa7, 0xe0, 0x6c, 0x0e, 0xaa, 0x6d, 0x59, 0xf9,
+ 0x87, 0x2a, 0x1f, 0x8c, 0x44, 0x7f, 0x92, 0x98, 0xe3, 0x0b, 0x73, 0x38,
+ 0x7d, 0x62, 0x04, 0x7e, 0x00, 0x45, 0xfb, 0x4e, 0x94, 0xc5, 0x2c, 0xa4,
+ 0xf6, 0xae, 0x1a, 0x3d, 0x42, 0x3c, 0xa0, 0x60, 0xbf, 0x41, 0x0b, 0x9b,
+ 0x64, 0x4b, 0x5a, 0xe9, 0x7c, 0xed, 0xe0, 0x08, 0x4f, 0xfc, 0x4a, 0x9a,
+ 0xb7, 0xd8, 0x5c, 0xa4, 0x44, 0x6e, 0x78, 0x26, 0x98, 0x66, 0x8a, 0xfe,
+ 0x97, 0xdd, 0x0c, 0x66, 0x4a, 0x28, 0x1f, 0xff, 0x30, 0x1e, 0xbd, 0x23,
+ 0x77, 0xe2, 0x66, 0x8a, 0x70, 0x77, 0xcb, 0xc0, 0xd0, 0xca, 0xf1, 0xd2,
+ 0xc8, 0xcd, 0x7b, 0xcf, 0xbe, 0x7d, 0x06, 0x34, 0xdb, 0x6f, 0xed, 0xd7,
+ 0x98, 0xec, 0x54, 0x3b, 0xb5, 0x5d, 0x5d, 0x40, 0x7f, 0x9f, 0xaf, 0xc3,
+ 0x4f, 0xc0, 0x01, 0x8f, 0x68, 0x2f, 0x9b, 0xa8, 0x30, 0xfe, 0x01, 0xec,
+ 0x49, 0xd0, 0xbc, 0xb1, 0x7d, 0x49, 0x5c, 0x25, 0x33, 0x4c, 0xeb, 0xc2,
+ 0xc6, 0x87, 0x83, 0x81, 0x01, 0xc1, 0xc6, 0x10, 0x52, 0xce, 0x17, 0xfe,
+ 0x91, 0x2d, 0x78, 0x4a, 0x8f, 0x5f, 0x8b, 0xf8, 0x9d, 0x20, 0x3f, 0xe7,
+ 0x4a, 0x31, 0x2f, 0xac, 0x72, 0xf9, 0xcc, 0xc6, 0x1c, 0x47, 0x82, 0x88,
+ 0x34, 0x75, 0x20, 0xda, 0xe0, 0x37, 0xa7, 0xb1, 0xc3, 0x8e, 0xcc, 0x61,
+ 0x98, 0xb3, 0x0f, 0x4f, 0x96, 0x9e, 0x37, 0x4f, 0xd9, 0xe7, 0xc7, 0x3b,
+ 0xfa, 0x9e, 0x28, 0xad, 0x77, 0x41, 0x50, 0xe2, 0xa9, 0x90, 0x3a, 0xe8,
+ 0xd4, 0x01, 0x1b, 0xa1, 0x84, 0x0b, 0x02, 0x80, 0xf6, 0xf5, 0x78, 0xa9,
+ 0x2c, 0x10, 0x4a, 0x42, 0x82, 0x97, 0x24, 0x1f, 0xa3, 0xa4, 0xa7, 0x80,
+ 0xa2, 0x5e, 0x8f, 0x21, 0x75, 0x48, 0x48, 0x11, 0xcc, 0x82, 0xfe, 0x9b,
+ 0xa0, 0x86, 0x17, 0xe2, 0x10, 0x02, 0x4c, 0xf7, 0x07, 0xdd, 0xe1, 0x36,
+ 0x85, 0x3f, 0x92, 0x2d, 0x0b, 0xd2, 0x75, 0xce, 0x33, 0xff, 0x32, 0x06,
+ 0xf5, 0x5b, 0x90, 0x24, 0x20, 0x1d, 0x92, 0xf6, 0xa8, 0xae, 0x7e, 0x10,
+ 0x0c, 0x5b, 0x7e, 0x1f, 0x6d, 0xec, 0xd0, 0xde, 0xcf, 0x77, 0x65, 0xae,
+ 0x81, 0x7f, 0x3f, 0xa1, 0x4e, 0xe4, 0xe7, 0x7d, 0x70, 0xec, 0x79, 0x02,
+ 0xb3, 0x9a, 0xc4, 0x27, 0x6b, 0xb8, 0x4b, 0xb1, 0xda, 0x86, 0x30, 0x44,
+ 0xe0, 0x7f, 0x19, 0x6b, 0xd7, 0x25, 0xf8, 0x85, 0x57, 0x1e, 0x6f, 0x0c,
+ 0x4e, 0x0e, 0xe9, 0x6d, 0x79, 0x01, 0x46, 0xf8, 0x83, 0xeb, 0x2f, 0x5b,
+ 0xdd, 0x57, 0xc0, 0xcb, 0xf7, 0x70, 0x4e, 0xa8, 0xf9, 0x8e, 0xe0, 0xae,
+ 0xa1, 0xf1, 0x05, 0x86, 0x4e, 0x06, 0xba, 0x48, 0x90, 0x37, 0xb2, 0xf8,
+ 0xf9, 0x42, 0x01, 0x1c, 0x5a, 0xf2, 0x88, 0x10, 0xfe, 0x73, 0x61, 0xa5,
+ 0xb0, 0x24, 0xb5, 0x78, 0xea, 0xa8, 0x07, 0xb7, 0xc5, 0x8f, 0x40, 0x79,
+ 0xae, 0x94, 0xf7, 0x30, 0x55, 0x93, 0x52, 0xc6, 0x62, 0x26, 0x65, 0xd3,
+ 0x55, 0x71, 0xff, 0x68, 0xb3, 0xa4, 0x5a, 0x7d, 0x5f, 0xab, 0xff, 0x31,
+ 0x42, 0xd0, 0x56, 0x6e, 0x27, 0x38, 0x80, 0xe6, 0x09, 0x76, 0x40, 0x4a,
+ 0xaa, 0x6e, 0x0a, 0x4f, 0x10, 0x6d, 0x2d, 0x5e, 0xf7, 0x3b, 0x5f, 0x1c,
+ 0xe7, 0xde, 0xc5, 0x71, 0x87, 0x38, 0xc2, 0xf2, 0x1e, 0x31, 0x1d, 0xfc,
+ 0x37, 0x38, 0x6a, 0x6b, 0x17, 0x70, 0x2f, 0x08, 0xce, 0x99, 0xec, 0x98,
+ 0x7f, 0x9d, 0xe6, 0x15, 0x1c, 0xe2, 0x37, 0xfe, 0xe5, 0x44, 0x56, 0x94,
+ 0x51, 0x74, 0x54, 0x6b, 0xf3, 0x04, 0x06, 0xd7, 0xce, 0xec, 0x64, 0x20,
+ 0xb3, 0x42, 0x33, 0x43, 0x15, 0xc0, 0x9d, 0xb6, 0x63, 0x3b, 0x13, 0xb5,
+ 0x06, 0xcb, 0x07, 0x32, 0x9f, 0x6f, 0xfa, 0xb4, 0x02, 0x4e, 0x96, 0x93,
+ 0x45, 0xe5, 0x05, 0x3c, 0x95, 0x5a, 0x50, 0x59, 0x8c, 0x25, 0x75, 0x35,
+ 0x69, 0x0a, 0x66, 0xa3, 0xc2, 0xcf, 0xc3, 0x6b, 0xef, 0x55, 0x0f, 0x07,
+ 0x38, 0x89, 0xf6, 0x7f, 0x3e, 0x34, 0xdf, 0x91, 0x78, 0x30, 0xa8, 0x4b,
+ 0xbb, 0xe1, 0x15, 0x98, 0xc4, 0x88, 0xeb, 0x04, 0x58, 0xea, 0x67, 0x5d,
+ 0x50, 0x0b, 0x4e, 0x15, 0xc5, 0x9f, 0x0b, 0xec, 0x75, 0x70, 0xf8, 0x90,
+ 0x3f, 0x9f, 0x3b, 0x4f, 0x97, 0xa3, 0x61, 0xd7, 0xe2, 0x5d, 0x64, 0xb1,
+ 0xfb, 0xdd, 0xcc, 0x36, 0xb0, 0x0b, 0x02, 0x0a, 0x61, 0x76, 0x97, 0x61,
+ 0x80, 0x27, 0xc7, 0xce, 0xe3, 0x6c, 0xe6, 0xe0, 0xd5, 0xa7, 0x33, 0xf6,
+ 0xfc, 0x69, 0x31, 0x09, 0xfd, 0x08, 0x98, 0xdd, 0x84, 0x6e, 0xa7, 0x44,
+ 0xa5, 0x7f, 0x83, 0xc4, 0xda, 0xb6, 0x61, 0xff, 0x3b, 0x36, 0x88, 0x26,
+ 0x0f, 0x08, 0x2a, 0x91, 0x4a, 0xff, 0x04, 0xd2, 0xb7, 0x39, 0x86, 0x15,
+};
+
+/* q=(p-1)/2 for prime prime_weak_8192 */
+static const unsigned char sub2_prime_weak_8192[] = {
+ 0x49, 0xef, 0xb6, 0x9b, 0xee, 0x15, 0x52, 0x55, 0xae, 0xee, 0x39, 0xa1,
+ 0x09, 0x0c, 0x47, 0x9c, 0xa3, 0xb9, 0xfa, 0x9f, 0x5e, 0x37, 0x06, 0x95,
+ 0x34, 0x2e, 0xa9, 0xa7, 0x91, 0x46, 0x54, 0x54, 0x25, 0x56, 0x35, 0x30,
+ 0x2a, 0x65, 0x0d, 0x3a, 0xed, 0x42, 0x81, 0x2f, 0x40, 0x5d, 0xcd, 0xad,
+ 0x3a, 0x4b, 0x34, 0xe1, 0x3e, 0x42, 0x0f, 0xbb, 0x06, 0xa9, 0xf2, 0x05,
+ 0x99, 0x79, 0xa5, 0xfb, 0x49, 0x2d, 0x96, 0x4c, 0x2e, 0xd4, 0xb0, 0x6e,
+ 0x0b, 0xad, 0xfd, 0xda, 0x87, 0x1c, 0x57, 0x31, 0x8b, 0x3c, 0xd2, 0x62,
+ 0xbb, 0x3a, 0x10, 0x4b, 0xad, 0xee, 0x54, 0xc4, 0x68, 0x8a, 0x23, 0x1f,
+ 0x0e, 0xf3, 0x65, 0x5a, 0x9c, 0x2b, 0xfe, 0xf5, 0xb3, 0x15, 0x7d, 0x46,
+ 0x18, 0x03, 0xf5, 0x5a, 0x5e, 0x3c, 0x99, 0x8a, 0x6f, 0xc7, 0x8e, 0xb0,
+ 0x23, 0xe3, 0x91, 0xec, 0xbf, 0xf1, 0x8e, 0x4a, 0x54, 0xdd, 0x96, 0x8d,
+ 0x9b, 0xb2, 0x10, 0x67, 0xb4, 0x29, 0x1c, 0xec, 0xb7, 0x91, 0xa8, 0x59,
+ 0x33, 0xe4, 0x23, 0xd5, 0x1c, 0xcb, 0x69, 0x7e, 0xcd, 0xce, 0x43, 0x38,
+ 0xec, 0x3e, 0x33, 0xda, 0xbd, 0x4e, 0xa7, 0xfc, 0x47, 0x9a, 0x32, 0x65,
+ 0xed, 0xc2, 0x88, 0xcb, 0xc3, 0x7b, 0xd0, 0x8c, 0x95, 0x08, 0x3d, 0x79,
+ 0x0a, 0x8d, 0x86, 0x37, 0x32, 0x78, 0x8c, 0x29, 0xfc, 0xcd, 0x6e, 0xbe,
+ 0x06, 0xbe, 0x1e, 0x9c, 0xce, 0x51, 0xe2, 0xfc, 0x34, 0x37, 0xda, 0x1a,
+ 0xfc, 0x0e, 0xdc, 0x64, 0x55, 0xf5, 0x2c, 0x79, 0xdd, 0xbc, 0x79, 0xf1,
+ 0x53, 0x0b, 0x59, 0xa5, 0x05, 0x2b, 0x2d, 0xa2, 0x56, 0x65, 0xb3, 0x2e,
+ 0xd1, 0xb1, 0x38, 0xc8, 0x82, 0xea, 0x4b, 0xb9, 0x19, 0xbb, 0xa1, 0x98,
+ 0x9a, 0xce, 0x21, 0xdc, 0x6a, 0xc2, 0xed, 0xc7, 0x14, 0x65, 0x94, 0xcc,
+ 0x5b, 0xff, 0x35, 0x7b, 0x04, 0x44, 0xc1, 0x7e, 0x73, 0x2e, 0xb1, 0x34,
+ 0x2a, 0xd6, 0x1d, 0xce, 0xc1, 0x66, 0x83, 0x08, 0x29, 0xc9, 0x8e, 0xb3,
+ 0x35, 0x67, 0x31, 0x96, 0x24, 0x9b, 0x79, 0x86, 0x8e, 0x1f, 0x92, 0x68,
+ 0x3f, 0xd9, 0x50, 0x67, 0xbb, 0x15, 0x0b, 0x51, 0x37, 0xb5, 0xfa, 0x7f,
+ 0x5a, 0xe5, 0x4c, 0xa2, 0x3e, 0x7e, 0x1d, 0xe0, 0xf2, 0x04, 0xfa, 0xbd,
+ 0xb6, 0xb6, 0x50, 0x8a, 0x88, 0x00, 0x26, 0x3a, 0xa6, 0x95, 0x40, 0x4a,
+ 0xc8, 0x4d, 0x0a, 0xaf, 0x3b, 0x94, 0x47, 0x41, 0xa0, 0x42, 0x8f, 0x96,
+ 0xb8, 0x0b, 0xd0, 0x58, 0x3e, 0xf2, 0xfd, 0x40, 0xa8, 0xdf, 0x5a, 0x0b,
+ 0x7b, 0x2a, 0x4f, 0x87, 0x51, 0xf1, 0x0f, 0x2f, 0x4d, 0x8e, 0x6d, 0x07,
+ 0x4f, 0xc9, 0xae, 0x7a, 0x21, 0xde, 0xce, 0x0f, 0x0b, 0x33, 0xda, 0xa1,
+ 0x4a, 0x38, 0x7c, 0x3c, 0x86, 0x16, 0xa4, 0x60, 0x92, 0x62, 0xe3, 0x54,
+ 0xb2, 0x06, 0x22, 0x76, 0x4c, 0xd7, 0x5a, 0xf3, 0xe0, 0x92, 0x45, 0x36,
+ 0x68, 0xd1, 0x5f, 0xa6, 0x35, 0x85, 0xf4, 0xf8, 0x4c, 0x1e, 0xe3, 0xce,
+ 0x70, 0xc6, 0x8d, 0x6f, 0x62, 0x22, 0x21, 0xe3, 0x5f, 0x9c, 0x31, 0x12,
+ 0xc8, 0xa1, 0x42, 0x00, 0x94, 0x65, 0xc0, 0x5e, 0x1c, 0xa6, 0x61, 0x9f,
+ 0xfb, 0x6f, 0xf0, 0xf3, 0x64, 0xbb, 0x9a, 0xab, 0x97, 0xc4, 0xce, 0xfd,
+ 0x57, 0x9b, 0xeb, 0x19, 0xb8, 0x9a, 0x7f, 0xa9, 0x14, 0x59, 0x9e, 0x4b,
+ 0x34, 0x08, 0x09, 0x64, 0xdf, 0x0c, 0x01, 0xe6, 0xf7, 0x93, 0x85, 0x68,
+ 0xe4, 0x87, 0x24, 0x80, 0x91, 0x39, 0xed, 0xaf, 0x88, 0xba, 0xb6, 0xf5,
+ 0x0b, 0x6d, 0x13, 0x3f, 0x9f, 0x3e, 0x65, 0xb1, 0x67, 0xe6, 0x46, 0xeb,
+ 0x75, 0x67, 0x13, 0x22, 0x52, 0x3a, 0x2a, 0x27, 0x15, 0x8a, 0xdd, 0x4e,
+ 0xd0, 0x9c, 0xf4, 0x7e, 0xf0, 0x14, 0xf8, 0x6b, 0xd5, 0x18, 0x35, 0xeb,
+ 0x8a, 0x1e, 0x50, 0x02, 0x5e, 0x76, 0xc1, 0x65, 0xe4, 0xed, 0xa7, 0x90,
+ 0x02, 0xb7, 0x22, 0xbc, 0xee, 0xad, 0x9e, 0xaf, 0x77, 0x78, 0xe1, 0xd5,
+ 0x59, 0xe9, 0x9d, 0x23, 0xd6, 0x71, 0x89, 0x50, 0xea, 0xfa, 0x12, 0x72,
+ 0xb6, 0x72, 0x4f, 0xda, 0x65, 0x4b, 0x24, 0xa8, 0x9b, 0x1d, 0xd2, 0x51,
+ 0x6b, 0x17, 0x21, 0x11, 0x99, 0x46, 0x64, 0x41, 0xf5, 0x0a, 0x68, 0x84,
+ 0x04, 0xc7, 0xed, 0xa6, 0x61, 0x00, 0x22, 0x03, 0x40, 0xea, 0x08, 0xae,
+ 0x95, 0x8f, 0x1b, 0xc0, 0x55, 0x5c, 0xc4, 0x7d, 0x55, 0xe9, 0x3b, 0x17,
+ 0x01, 0xdc, 0x1d, 0x85, 0xfe, 0x00, 0xcb, 0x71, 0xb1, 0x00, 0x38, 0x89,
+ 0xf4, 0x7d, 0xbc, 0x67, 0x1c, 0x83, 0x50, 0xa2, 0x6e, 0xb0, 0xb5, 0x2b,
+ 0x59, 0x66, 0xe5, 0xf6, 0x33, 0x92, 0x14, 0x3e, 0x9c, 0xc0, 0x1b, 0xe5,
+ 0xca, 0xa4, 0xcb, 0x74, 0x9f, 0xdb, 0xc4, 0xf5, 0x88, 0xbe, 0x1a, 0x24,
+ 0x9b, 0x16, 0x76, 0x41, 0x5b, 0x1e, 0x54, 0xcd, 0x69, 0xdc, 0x55, 0xdc,
+ 0x94, 0x17, 0xcb, 0xb8, 0x82, 0x54, 0x43, 0x15, 0xa1, 0xdb, 0x13, 0xa8,
+ 0xc5, 0x70, 0x51, 0xcc, 0x73, 0x99, 0x99, 0x7f, 0x0c, 0x5c, 0x9c, 0x4a,
+ 0xbc, 0x0b, 0xdf, 0x21, 0xd0, 0x04, 0x45, 0x82, 0xc6, 0xab, 0x6b, 0xa7,
+ 0x30, 0x80, 0x80, 0x02, 0x89, 0x36, 0x89, 0xca, 0xf5, 0x67, 0x6e, 0x5f,
+ 0xe2, 0x3a, 0x10, 0x44, 0x94, 0x02, 0xe9, 0x4b, 0xe1, 0x9a, 0x92, 0x36,
+ 0xa1, 0xee, 0xf1, 0x4f, 0x8a, 0xc0, 0x77, 0x6e, 0xe6, 0xc5, 0x44, 0x62,
+ 0xc9, 0x6d, 0x0e, 0xec, 0xe8, 0x5c, 0x7e, 0x8c, 0x66, 0x2c, 0x0d, 0xe5,
+ 0x1d, 0xe6, 0x4f, 0x66, 0xa9, 0xb0, 0xb4, 0x7a, 0xdd, 0x96, 0x81, 0x2a,
+ 0x95, 0xc9, 0xcf, 0x8c, 0x0b, 0x90, 0x58, 0xaa, 0x70, 0x7f, 0x1f, 0x35,
+ 0x08, 0x3f, 0xf7, 0x30, 0x3e, 0x65, 0x8a, 0x41, 0x34, 0x76, 0x84, 0x03,
+ 0xf3, 0x9a, 0x56, 0x93, 0xb7, 0xed, 0x2b, 0xf1, 0x53, 0xa5, 0xbf, 0x3d,
+ 0x17, 0x4a, 0xc4, 0x2c, 0x1e, 0xf3, 0xee, 0x51, 0xf9, 0x74, 0xfa, 0xca,
+ 0xfe, 0x8e, 0x2f, 0xcf, 0x2e, 0x06, 0x74, 0x1b, 0x6a, 0x84, 0x9a, 0xb3,
+ 0x13, 0xdc, 0x89, 0xc5, 0x07, 0x7d, 0x75, 0xd3, 0x2d, 0xeb, 0x03, 0xa6,
+ 0xe7, 0x86, 0xc8, 0x38, 0xd0, 0xf2, 0xac, 0x0f, 0x13, 0xb4, 0xb2, 0x0c,
+ 0x11, 0x03, 0xc5, 0x15, 0x74, 0x84, 0x00, 0x01, 0x45, 0x2c, 0x1c, 0x40,
+ 0x82, 0xec, 0x73, 0xae, 0x9e, 0xf4, 0x15, 0x8b, 0xfd, 0x14, 0xae, 0x75,
+ 0xc9, 0x86, 0x07, 0x94, 0xb4, 0x10, 0xc9, 0xb1, 0x79, 0x70, 0xa2, 0x1c,
+ 0x34, 0x90, 0xab, 0xc3, 0x38, 0xb5, 0x9e, 0x89, 0x27, 0x14, 0x6d, 0x85,
+ 0xea, 0x16, 0x62, 0xf4, 0x2f, 0xcd, 0xe9, 0x13, 0x04, 0x22, 0xd2, 0x59,
+ 0x58, 0xaf, 0x68, 0x8c, 0x1f, 0x31, 0x46, 0xbb, 0xd0, 0x31, 0x03, 0xba,
+ 0x86, 0x34, 0x3f, 0xd5, 0xe9, 0x16, 0x76, 0x47, 0x54, 0xb7, 0x1b, 0x9e,
+ 0xed, 0x99, 0xbd, 0x25, 0x5d, 0x43, 0x12, 0xa8, 0x35, 0x1b, 0x8d, 0xcd,
+ 0xc8, 0x8d, 0x2f, 0xc9, 0x90, 0xf5, 0x48, 0xee, 0x32, 0x5b, 0x03, 0xa2,
+ 0x1a, 0x3c, 0xb5, 0x35, 0x21, 0x27, 0x79, 0xf1, 0x51, 0x35, 0xff, 0xe6,
+ 0xeb, 0xe2, 0xb4, 0xdc, 0xc0, 0xbe, 0x9a, 0x5a, 0x2d, 0xdb, 0x41, 0xe1,
+ 0xb5, 0xcd, 0x70, 0x97, 0x2f, 0x1a, 0x00, 0x90, 0xf5, 0x9b, 0xe6, 0x62,
+ 0xaf, 0xbf, 0xd0, 0x6f, 0x07, 0xbc, 0xdb, 0xe1, 0x9d, 0xc2, 0x3e, 0xf4,
+ 0x4b, 0x7e, 0x99, 0x23, 0xbc, 0x1f, 0x11, 0x64, 0x4c, 0x67, 0x3d, 0x77,
+ 0x8e, 0xd3, 0x04, 0x9d, 0x7f, 0xfb, 0xb4, 0x6c, 0xdc, 0x74, 0xbf, 0x45,
+ 0x76, 0x11, 0x80, 0xcb,
+};
+
+/* Public keys in known small subgroups - fails in all modes */
+static const unsigned char pub_key_zero[] = {0};
+static const unsigned char pub_key_one[] = {1};
+
+static const unsigned char pub_key_minus_1_ike_1536[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE};
+
+static const unsigned char pub_key_minus_1_safe_2048[] = {
+ 0xe1, 0xa3, 0x6e, 0x49, 0x69, 0x07, 0x1c, 0x5f, 0xb4, 0x15, 0x35, 0x46,
+ 0x99, 0x52, 0xd0, 0x4e, 0xff, 0x4e, 0x4c, 0xb1, 0xe1, 0x59, 0xed, 0x2e,
+ 0x71, 0xf3, 0x80, 0x14, 0x54, 0xd0, 0xfc, 0x83, 0x20, 0x29, 0x15, 0x21,
+ 0xa6, 0x5f, 0x10, 0x81, 0x57, 0xf4, 0x2e, 0x49, 0xb2, 0xd1, 0x37, 0xe8,
+ 0x6a, 0xbf, 0x72, 0xf9, 0x55, 0x4e, 0x9e, 0xae, 0x20, 0xc5, 0xb6, 0xc5,
+ 0x91, 0x79, 0x0d, 0xa2, 0xdd, 0xb4, 0xbb, 0x50, 0x4e, 0x20, 0xca, 0x8a,
+ 0x8f, 0x82, 0x34, 0xb9, 0x6a, 0x3e, 0x9a, 0x67, 0xc2, 0x7e, 0x83, 0xf6,
+ 0xc0, 0xad, 0xe3, 0xca, 0x00, 0xd6, 0x11, 0x88, 0x9c, 0xc7, 0x9f, 0xb4,
+ 0x3d, 0x53, 0xa5, 0x5a, 0x97, 0x44, 0x4d, 0xe7, 0x5c, 0xd5, 0x76, 0x80,
+ 0xf8, 0x0c, 0xcd, 0xa6, 0x55, 0xe2, 0x5f, 0xcf, 0xf4, 0x46, 0xa4, 0xc7,
+ 0x0f, 0xc1, 0x80, 0x84, 0x65, 0x46, 0x8c, 0x87, 0xd2, 0x99, 0x82, 0xdf,
+ 0x8e, 0x00, 0x89, 0xf3, 0x0d, 0xd5, 0xc0, 0x54, 0x94, 0xc6, 0xa3, 0x92,
+ 0x0f, 0x91, 0x10, 0xee, 0xa3, 0x65, 0x44, 0xb7, 0x6d, 0xe8, 0x23, 0xf9,
+ 0x7f, 0x91, 0x62, 0x65, 0x09, 0x8e, 0xa1, 0x33, 0xd4, 0xd6, 0x55, 0x0a,
+ 0xc0, 0xe8, 0x66, 0x70, 0x05, 0xd0, 0x12, 0x34, 0xc1, 0xfd, 0xce, 0x75,
+ 0xa4, 0x75, 0xe1, 0x46, 0xa1, 0x08, 0xb4, 0x52, 0xfe, 0x25, 0xa4, 0xc5,
+ 0x4f, 0x23, 0x04, 0x7e, 0xa1, 0x2c, 0xf3, 0x56, 0xcb, 0xfa, 0x7a, 0xbc,
+ 0x45, 0xcc, 0x78, 0xb3, 0x28, 0xf3, 0xe5, 0xd5, 0x26, 0x56, 0x27, 0x86,
+ 0x6a, 0x56, 0x6b, 0x87, 0x56, 0x0e, 0xc4, 0x3c, 0xed, 0xff, 0xcb, 0x96,
+ 0xb4, 0x13, 0x1d, 0x4d, 0x38, 0x4e, 0x69, 0x34, 0x51, 0x7a, 0x85, 0x31,
+ 0xb4, 0x80, 0xda, 0x41, 0xe3, 0xdc, 0x2e, 0x53, 0xd8, 0x71, 0x3e, 0xcc,
+ 0x37, 0x8a, 0x80, 0x32};
+
+static const unsigned char pub_key_minus_1_weak_3072[] = {
+ 0x94, 0x32, 0xc7, 0x47, 0x51, 0xa3, 0x03, 0x9b, 0xf2, 0x51, 0x5c, 0x69,
+ 0xaf, 0x05, 0x3c, 0x76, 0x62, 0xa2, 0xec, 0x5a, 0xcc, 0xdf, 0x80, 0xf3,
+ 0x2d, 0xce, 0xa5, 0xa5, 0x9e, 0x2d, 0xab, 0x5f, 0x91, 0xbd, 0x93, 0x61,
+ 0xd7, 0x7b, 0x71, 0x6f, 0xf3, 0x92, 0xbf, 0xa8, 0xfc, 0xcd, 0x00, 0xf5,
+ 0x49, 0x08, 0x00, 0x8c, 0xd2, 0xfe, 0x4a, 0xd8, 0x2b, 0x6e, 0x42, 0xc0,
+ 0xd8, 0xa2, 0x8b, 0x2b, 0x18, 0x02, 0xad, 0xe8, 0x4e, 0x44, 0x09, 0x26,
+ 0xa1, 0xa1, 0xca, 0x99, 0xe3, 0xd9, 0x9a, 0x87, 0x3c, 0x83, 0x6a, 0x1a,
+ 0x7b, 0x60, 0xba, 0x78, 0x0c, 0x79, 0x50, 0x1f, 0xde, 0x40, 0x14, 0x58,
+ 0x18, 0xa9, 0x2b, 0x74, 0x11, 0xb4, 0x65, 0xfe, 0x9d, 0x03, 0xa4, 0xef,
+ 0xdf, 0x74, 0x8e, 0xcd, 0x7b, 0xd4, 0xf3, 0x28, 0x75, 0xb2, 0x31, 0xef,
+ 0x99, 0x65, 0xcb, 0x5a, 0x77, 0xca, 0xa2, 0x25, 0x28, 0xae, 0xfa, 0x9f,
+ 0xeb, 0xda, 0xcc, 0x34, 0x7b, 0x21, 0xd7, 0xdb, 0x54, 0x40, 0xe6, 0x2f,
+ 0xdb, 0xc0, 0xce, 0xdc, 0xe5, 0xc9, 0x27, 0x97, 0x99, 0x9c, 0x02, 0x4f,
+ 0x24, 0x88, 0x93, 0xdf, 0xa9, 0xc7, 0x3e, 0x10, 0xc8, 0xaa, 0x6a, 0xce,
+ 0xda, 0x46, 0x94, 0x8c, 0xad, 0x1e, 0xf1, 0xcb, 0xd3, 0xcd, 0x43, 0x44,
+ 0xb4, 0x20, 0x91, 0x9e, 0xf6, 0xd1, 0x03, 0xef, 0xc2, 0x04, 0xf7, 0x07,
+ 0xdb, 0xac, 0xa2, 0x28, 0x8c, 0x7d, 0x1d, 0x5d, 0x2c, 0x5a, 0xfc, 0x26,
+ 0x5b, 0x0b, 0x58, 0xb9, 0x9a, 0x47, 0xe9, 0xa0, 0xdf, 0xa5, 0x5a, 0xf3,
+ 0xe5, 0xd6, 0xeb, 0x69, 0xb5, 0x4e, 0xbc, 0x71, 0xc0, 0xd6, 0x9b, 0xb8,
+ 0x40, 0x3b, 0xc5, 0x72, 0x5d, 0x4d, 0x1b, 0x17, 0x3d, 0x36, 0xa4, 0xb1,
+ 0x15, 0xa7, 0x9a, 0x72, 0xeb, 0xf2, 0x9e, 0x40, 0xd1, 0xbc, 0x35, 0xc7,
+ 0xd1, 0x1a, 0x8f, 0x1c, 0x2b, 0x5e, 0xd8, 0xb3, 0x3b, 0x44, 0xae, 0xf5,
+ 0x81, 0xd0, 0x8a, 0x37, 0xab, 0xba, 0x22, 0xbc, 0x2d, 0x88, 0x2f, 0x24,
+ 0xbb, 0xb0, 0x1a, 0xa9, 0x5f, 0x07, 0x10, 0x6d, 0xc6, 0xbb, 0x3c, 0xa2,
+ 0x66, 0xf9, 0xb9, 0x95, 0xd6, 0x5e, 0x8c, 0xce, 0x04, 0xdc, 0xb3, 0x4c,
+ 0xbc, 0xe9, 0xc5, 0xcb, 0x19, 0x97, 0xe2, 0xa1, 0x09, 0x38, 0xd7, 0x82,
+ 0xa6, 0xbf, 0xc9, 0x15, 0x25, 0xf1, 0x2c, 0x77, 0xfc, 0xbd, 0xfa, 0x7f,
+ 0x92, 0xfe, 0xd6, 0x31, 0x03, 0x23, 0x2d, 0x17, 0x2f, 0x51, 0x9e, 0x5c,
+ 0xb1, 0x68, 0xc0, 0x3f, 0x42, 0x99, 0x00, 0x55, 0x33, 0x68, 0xd7, 0xee,
+ 0x51, 0x7d, 0x3e, 0x03, 0x4f, 0x02, 0x5f, 0x27, 0xdd, 0x17, 0x18, 0x6c,
+ 0x1e, 0x9d, 0x91, 0x65, 0xf8, 0xd7, 0xa6, 0x9f, 0xa1, 0xba, 0xa8, 0x76,
+ 0xe4, 0xd8, 0xf4, 0x59, 0x90, 0x16, 0x67, 0x88, 0xc2, 0xa9, 0xe4, 0x2c};
+
+static const unsigned char pub_key_minus_1_weak_4096[] = {
+ 0xff, 0x50, 0xd3, 0xcc, 0x89, 0x17, 0x5e, 0xb6, 0xf8, 0xa3, 0xb0, 0xe2,
+ 0xf9, 0x9f, 0x17, 0xa1, 0x92, 0x56, 0x15, 0x13, 0x12, 0x9f, 0x18, 0xdc,
+ 0x07, 0x00, 0xc2, 0x49, 0xc9, 0xd9, 0xd4, 0x0a, 0xe3, 0xd7, 0xf6, 0x60,
+ 0x21, 0xa9, 0x7b, 0xc0, 0x0f, 0x0e, 0xae, 0x3e, 0x77, 0x77, 0x48, 0xd8,
+ 0xfd, 0x42, 0xec, 0xb5, 0xae, 0x00, 0xab, 0xce, 0xd1, 0x11, 0xca, 0xd2,
+ 0x64, 0x5a, 0xa3, 0x6b, 0xba, 0xd1, 0x93, 0xea, 0xda, 0xd2, 0xa0, 0x60,
+ 0x39, 0x0b, 0x34, 0x4f, 0x0c, 0xf1, 0xb0, 0x52, 0x75, 0x51, 0x3d, 0x28,
+ 0x02, 0xb5, 0xbd, 0x42, 0x98, 0x20, 0xa7, 0x42, 0xb9, 0x21, 0x9a, 0xae,
+ 0xb6, 0x41, 0x7b, 0x70, 0xe3, 0xd9, 0xaf, 0x81, 0x1a, 0xc1, 0x39, 0x9c,
+ 0x52, 0x56, 0xcb, 0x0d, 0x6a, 0x67, 0x6f, 0x3d, 0x12, 0x76, 0x73, 0x53,
+ 0x95, 0x2d, 0xc1, 0x04, 0xdb, 0x83, 0xe4, 0xd0, 0xbe, 0x2d, 0xa6, 0x7a,
+ 0x0f, 0x80, 0x1b, 0xd0, 0x16, 0x14, 0x3a, 0xe0, 0x48, 0xfa, 0xf5, 0x44,
+ 0xa8, 0xe0, 0xbf, 0x98, 0xe1, 0x56, 0xea, 0x76, 0xb6, 0xe2, 0xa3, 0x5b,
+ 0x15, 0x79, 0x10, 0xb0, 0x41, 0xdc, 0x29, 0x0f, 0x1e, 0x37, 0x69, 0xcd,
+ 0x13, 0xbe, 0x2d, 0xe0, 0x73, 0x38, 0x68, 0xed, 0x50, 0x6a, 0xd0, 0xfb,
+ 0xcb, 0x17, 0x3a, 0x59, 0xfb, 0xec, 0xba, 0x75, 0xb6, 0x4e, 0x2f, 0x6e,
+ 0x97, 0x98, 0x0e, 0x79, 0x25, 0xdd, 0xd8, 0xf5, 0x34, 0xb4, 0xa0, 0x7e,
+ 0xba, 0x68, 0x7c, 0x4f, 0xfb, 0xe0, 0x97, 0x46, 0x50, 0x1e, 0x4a, 0x59,
+ 0x9c, 0xdc, 0x34, 0xe2, 0x2a, 0xb5, 0xc8, 0x58, 0x94, 0x48, 0x9f, 0xb8,
+ 0x36, 0xcb, 0xce, 0x36, 0xb1, 0x7c, 0xe5, 0x8d, 0x5b, 0x43, 0xd7, 0x88,
+ 0xdf, 0xae, 0xd0, 0xc9, 0x42, 0x5f, 0x0a, 0xe3, 0x63, 0x11, 0xc5, 0x0c,
+ 0x80, 0x55, 0x58, 0xd7, 0xf2, 0x51, 0x6e, 0xb3, 0x7e, 0x9d, 0x1c, 0xc3,
+ 0x61, 0x59, 0x5c, 0x47, 0xd4, 0x99, 0xc0, 0x67, 0xfb, 0xb2, 0xd6, 0x11,
+ 0xda, 0x92, 0x5b, 0x6b, 0xd2, 0x70, 0xb7, 0x69, 0x72, 0xe7, 0x06, 0xdd,
+ 0x40, 0xac, 0x81, 0x51, 0x1d, 0x52, 0x7a, 0x45, 0x38, 0x89, 0x27, 0x2c,
+ 0xc4, 0x4b, 0x7e, 0x5e, 0x79, 0xef, 0x84, 0x6a, 0x24, 0x4d, 0x9c, 0x9e,
+ 0xca, 0x75, 0x5c, 0x06, 0x6d, 0xd0, 0x52, 0xe9, 0xda, 0x9f, 0x46, 0xb6,
+ 0x62, 0x1d, 0xb3, 0xd9, 0xf2, 0x7d, 0xd6, 0xc2, 0x7a, 0x49, 0x7c, 0xdd,
+ 0x9b, 0xaa, 0xc3, 0x84, 0x0b, 0x08, 0x33, 0xb8, 0x80, 0xc3, 0x12, 0x8f,
+ 0xad, 0xac, 0x0f, 0x7f, 0xaf, 0x59, 0x61, 0x0d, 0x98, 0xc1, 0xf9, 0x68,
+ 0xc3, 0x1b, 0x10, 0x08, 0xc4, 0x33, 0x3c, 0xa4, 0xe2, 0xd5, 0xeb, 0x71,
+ 0x5d, 0x19, 0x7e, 0x05, 0xca, 0x9a, 0xf5, 0xbb, 0x71, 0x55, 0x83, 0x9c,
+ 0x25, 0x50, 0x35, 0x7f, 0x2d, 0xeb, 0xf2, 0x0d, 0xed, 0x3c, 0xb8, 0x71,
+ 0xbd, 0x08, 0xf5, 0x89, 0x7e, 0x5e, 0x38, 0x40, 0xd7, 0xed, 0x77, 0x8d,
+ 0x7a, 0xed, 0x2a, 0x9f, 0xfc, 0x01, 0xf4, 0xe2, 0xcf, 0xda, 0x8c, 0xa3,
+ 0x57, 0xdc, 0x14, 0xd6, 0xa1, 0xd9, 0x97, 0xb9, 0xe6, 0xfc, 0x48, 0x75,
+ 0x43, 0xbd, 0x3b, 0x91, 0x17, 0x3c, 0x33, 0xca, 0xce, 0x29, 0x09, 0x1b,
+ 0xe8, 0x9d, 0xb6, 0x74, 0x05, 0x5e, 0x2e, 0xa5, 0x1d, 0x7f, 0x3a, 0xa9,
+ 0x2c, 0xf6, 0x4d, 0x41, 0x90, 0xbc, 0x56, 0x18, 0x52, 0x02, 0x90, 0xef,
+ 0x71, 0xff, 0x3e, 0x0c, 0xf8, 0x00, 0x04, 0x07, 0xd5, 0x20, 0x26, 0xdd,
+ 0x5c, 0xb1, 0x37, 0x03, 0x20, 0x0c, 0xb4, 0xb6, 0x39, 0x49, 0x49, 0xaa,
+ 0xe7, 0x98, 0x01, 0xa2, 0x2e, 0x0a, 0x33, 0x82, 0x9e, 0xb9, 0x24, 0xb7,
+ 0x80, 0xdf, 0xd3, 0xdf, 0x04, 0xe4, 0x50, 0x9d};
+
+static const unsigned char pub_key_minus_1_tls_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
+ 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
+ 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
+ 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
+ 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
+ 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
+ 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
+ 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
+ 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
+ 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
+ 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
+ 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
+ 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
+ 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
+ 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
+ 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
+ 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
+ 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
+ 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
+ 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
+ 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
+ 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
+ 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE};
+
+static const unsigned char pub_key_minus_1_safe_8192[] = {
+ 0x9b, 0xa7, 0x9b, 0xa2, 0x86, 0x54, 0xe7, 0x99, 0x11, 0x5b, 0x35, 0x81,
+ 0xd5, 0x7a, 0x8a, 0x6e, 0x4d, 0x4d, 0x61, 0x5d, 0xd3, 0xcf, 0x0c, 0x65,
+ 0x7e, 0xda, 0xd8, 0xce, 0x28, 0xac, 0xa0, 0x38, 0x81, 0xee, 0xa1, 0x14,
+ 0x25, 0x21, 0x67, 0x66, 0x3a, 0x6c, 0x0f, 0x80, 0x3d, 0x89, 0x79, 0xfe,
+ 0x71, 0x43, 0x57, 0xc3, 0xa9, 0x54, 0x1e, 0x20, 0x8a, 0xee, 0x0f, 0xa6,
+ 0x8b, 0x88, 0x81, 0x3d, 0xe8, 0x5c, 0x40, 0x47, 0x05, 0xdf, 0xd8, 0x6d,
+ 0x98, 0x65, 0x16, 0xa9, 0xf9, 0xc4, 0x8c, 0x02, 0xba, 0xae, 0x6b, 0x36,
+ 0x76, 0xc9, 0xfa, 0x8e, 0xd0, 0xd7, 0x9a, 0x3c, 0xcb, 0xd1, 0x44, 0x09,
+ 0xd7, 0x4f, 0x28, 0x51, 0x94, 0x92, 0x5b, 0x02, 0xb2, 0xbd, 0x78, 0xd3,
+ 0xc2, 0x76, 0x03, 0x15, 0x17, 0x0b, 0x55, 0x08, 0x02, 0x42, 0x9e, 0x26,
+ 0x56, 0x33, 0x72, 0xe6, 0xbd, 0x0e, 0xf9, 0x3d, 0x2c, 0xb3, 0x8a, 0x4c,
+ 0x67, 0x17, 0xfd, 0xe9, 0x03, 0xad, 0x8c, 0x34, 0x84, 0xe5, 0x83, 0xdf,
+ 0x9c, 0x04, 0x93, 0x03, 0x26, 0x19, 0xc1, 0xf1, 0x24, 0x68, 0xf6, 0x54,
+ 0x96, 0xce, 0x38, 0x51, 0xbd, 0x6c, 0x3d, 0x9c, 0x0c, 0xd8, 0x6e, 0x13,
+ 0x4c, 0x8b, 0xf6, 0x34, 0xae, 0xd8, 0x85, 0x1d, 0x1d, 0x8e, 0xc2, 0xad,
+ 0xab, 0xa2, 0xc5, 0x40, 0x76, 0x7f, 0x2f, 0x2e, 0x38, 0xf4, 0x6a, 0x39,
+ 0x33, 0x3d, 0x17, 0xce, 0x1f, 0xe9, 0xc3, 0x8d, 0x9e, 0xe5, 0xbe, 0xd6,
+ 0xad, 0x9a, 0x23, 0xd8, 0x06, 0xf3, 0x7c, 0x39, 0xd5, 0xae, 0x57, 0xb6,
+ 0xe5, 0xc3, 0x9a, 0x8a, 0x8c, 0x6e, 0xd3, 0xc1, 0x1a, 0x64, 0x12, 0x00,
+ 0x18, 0x53, 0xca, 0x32, 0x88, 0x8e, 0xc0, 0x5f, 0x2d, 0xb2, 0x3d, 0x14,
+ 0x1b, 0x58, 0x5c, 0x20, 0xe8, 0x52, 0xe5, 0x28, 0x41, 0xbc, 0x9e, 0x08,
+ 0x29, 0xab, 0xa5, 0x43, 0x99, 0x0e, 0xd7, 0x2a, 0xb9, 0xb8, 0x64, 0x9d,
+ 0x83, 0xe3, 0x1a, 0x26, 0x59, 0x65, 0xf2, 0x0c, 0xc9, 0xc5, 0x8f, 0x0d,
+ 0xcf, 0xa1, 0x18, 0xfc, 0x8b, 0x77, 0xe9, 0xe1, 0x19, 0x7b, 0x03, 0xd4,
+ 0x37, 0x8d, 0x5d, 0x37, 0x2b, 0xad, 0x58, 0x5e, 0x73, 0x72, 0xce, 0x84,
+ 0xe5, 0xc9, 0x75, 0x1d, 0xf3, 0x58, 0x42, 0x77, 0xfe, 0x53, 0xa0, 0xc2,
+ 0x66, 0x21, 0xaf, 0xe2, 0x61, 0xd2, 0x84, 0xb3, 0x03, 0x4d, 0xd8, 0x7d,
+ 0x85, 0xe1, 0xa8, 0xa0, 0x48, 0x5d, 0x1a, 0xa9, 0xac, 0xc1, 0x69, 0x24,
+ 0xc6, 0xfa, 0xb5, 0x22, 0x3e, 0xa3, 0x8d, 0x35, 0x29, 0xcf, 0x9a, 0xe5,
+ 0x84, 0x3b, 0x0b, 0x27, 0x36, 0x7e, 0x9d, 0xa6, 0xb0, 0x45, 0x60, 0x42,
+ 0x1e, 0x4b, 0x24, 0xd1, 0x36, 0x8b, 0x70, 0xd1, 0x95, 0x54, 0x14, 0xb9,
+ 0x47, 0x3d, 0x8d, 0xe4, 0x5f, 0x81, 0x1a, 0x21, 0x17, 0x17, 0xbf, 0x92,
+ 0x22, 0x4c, 0x77, 0x30, 0xdc, 0x9c, 0x84, 0xe6, 0x68, 0xcc, 0xd6, 0x11,
+ 0x04, 0xff, 0x71, 0x86, 0xb3, 0xa9, 0x9b, 0x13, 0x95, 0x35, 0xfd, 0x68,
+ 0x28, 0x9b, 0x6f, 0x5c, 0xf7, 0x66, 0xa8, 0x6f, 0x89, 0x0f, 0x92, 0xdf,
+ 0x52, 0x24, 0x3f, 0xdb, 0x2f, 0x40, 0x12, 0x32, 0xa4, 0xff, 0x2e, 0x4b,
+ 0xb8, 0xa0, 0xe7, 0xc9, 0xcb, 0x98, 0x13, 0xf9, 0xd2, 0xfa, 0x82, 0x68,
+ 0xb2, 0x8f, 0xd3, 0x17, 0x8c, 0x93, 0xf5, 0x80, 0xe4, 0x5a, 0x33, 0x1b,
+ 0x6a, 0xd8, 0xbf, 0x37, 0xa7, 0xe1, 0x63, 0x1d, 0x6a, 0xc3, 0xfa, 0xa1,
+ 0x2f, 0xc1, 0x72, 0x55, 0xd5, 0xe2, 0x67, 0x3b, 0x6b, 0x3a, 0xa8, 0xb0,
+ 0x54, 0x04, 0x1d, 0xbb, 0xc1, 0xe5, 0x3a, 0x52, 0xb1, 0x67, 0x0b, 0x12,
+ 0x3e, 0xcd, 0xa9, 0x9a, 0x0e, 0xbb, 0xa3, 0x75, 0x6d, 0x6f, 0x77, 0x74,
+ 0x64, 0xe3, 0x16, 0x8c, 0xa5, 0xba, 0xec, 0x51, 0x73, 0xce, 0x4b, 0xe6,
+ 0x6f, 0x3d, 0x15, 0x56, 0x43, 0xe1, 0x17, 0x77, 0x66, 0xab, 0xdc, 0x9d,
+ 0x9b, 0x10, 0x5d, 0xc4, 0xe9, 0x1e, 0xaa, 0x2d, 0x15, 0xbb, 0xc4, 0x09,
+ 0x46, 0x30, 0xe1, 0xb8, 0x92, 0x94, 0x5f, 0xb7, 0xe7, 0x7e, 0x97, 0x43,
+ 0xc0, 0x48, 0x5b, 0xaf, 0xea, 0x74, 0xae, 0x8c, 0x79, 0x6b, 0x66, 0x83,
+ 0x62, 0x88, 0x17, 0xa4, 0x56, 0x5d, 0x58, 0xfb, 0x6c, 0x38, 0x57, 0x4d,
+ 0xef, 0xd7, 0x36, 0x44, 0x39, 0x5b, 0xab, 0x94, 0xe4, 0x08, 0x30, 0xd3,
+ 0x2c, 0x59, 0xa0, 0x32, 0xe2, 0x71, 0x99, 0xec, 0x66, 0x5e, 0xf7, 0xe2,
+ 0x9c, 0x19, 0x69, 0x72, 0x6f, 0xdb, 0x3e, 0xcc, 0x19, 0x5a, 0xfd, 0xad,
+ 0xd6, 0x6e, 0x9d, 0x07, 0xc0, 0x65, 0x01, 0x75, 0xdd, 0x37, 0x1b, 0x9c,
+ 0x5e, 0x93, 0x32, 0xf8, 0x7e, 0x65, 0xd5, 0xb5, 0x15, 0x35, 0xad, 0x05,
+ 0xb5, 0xd2, 0x25, 0xc7, 0x71, 0x5a, 0xe4, 0xb7, 0x58, 0x6a, 0xc3, 0x5a,
+ 0xd9, 0xd4, 0xee, 0x32, 0xb5, 0x0b, 0x5b, 0x2a, 0xcd, 0x80, 0xce, 0xd4,
+ 0x2d, 0xc9, 0x09, 0x94, 0xf5, 0xf2, 0x7c, 0xaf, 0xba, 0x5a, 0xd3, 0xdc,
+ 0xcd, 0xd7, 0xf7, 0xea, 0x42, 0xe2, 0xc2, 0x34, 0x21, 0xb9, 0x15, 0x24,
+ 0xe8, 0x32, 0x6b, 0x6f, 0xb0, 0xed, 0x76, 0x5e, 0x45, 0xbf, 0x02, 0xa2,
+ 0xb8, 0x3c, 0xa5, 0xf5, 0x74, 0xe3, 0x18, 0x89, 0x21, 0x4e, 0xa6, 0x08,
+ 0xa3, 0xa5, 0x93, 0x69, 0x48, 0x96, 0xbd, 0x47, 0xd3, 0xeb, 0x67, 0x29,
+ 0xa8, 0xbb, 0xbe, 0x78, 0x05, 0xfa, 0x46, 0x89, 0x4e, 0x0c, 0xe2, 0x6c,
+ 0xbb, 0xe5, 0xf8, 0xba, 0xe5, 0x5d, 0x29, 0xe7, 0xdd, 0x71, 0x7e, 0x94,
+ 0xd7, 0x56, 0x0c, 0x3c, 0xde, 0x5f, 0xbc, 0xdc, 0x0f, 0x8e, 0xd6, 0x6f,
+ 0x0a, 0x07, 0xb8, 0x07, 0x24, 0x62, 0x4c, 0xed, 0x45, 0x4f, 0x0d, 0x9f,
+ 0x2e, 0x83, 0x6a, 0xeb, 0xbc, 0xff, 0xa9, 0xf2, 0x73, 0xb3, 0x5b, 0xaa,
+ 0xac, 0xed, 0xac, 0x88, 0xa2, 0x0d, 0x8d, 0x8f, 0xb4, 0xf7, 0x73, 0x1e,
+ 0xc0, 0x2e, 0xd3, 0x45, 0x15, 0x4b, 0x4a, 0xe7, 0xd4, 0xef, 0xb1, 0xc6,
+ 0xd3, 0x8f, 0xf8, 0x24, 0x12, 0x33, 0x3e, 0x8e, 0x95, 0xbc, 0x81, 0xb4,
+ 0xd4, 0xd1, 0x13, 0xbc, 0x7e, 0x25, 0xb4, 0x5b, 0xff, 0x15, 0xba, 0xf8,
+ 0x9a, 0xec, 0x78, 0xe4, 0x63, 0xc7, 0x26, 0xd5, 0x89, 0x3d, 0x63, 0x5b,
+ 0x7c, 0x86, 0x63, 0x34, 0x06, 0x28, 0x23, 0x08, 0xff, 0x6d, 0xbd, 0xe0,
+ 0x75, 0xb3, 0x71, 0x12, 0x26, 0x63, 0xca, 0x93, 0x36, 0x86, 0xeb, 0xf7,
+ 0x48, 0xd1, 0x96, 0xf4, 0x02, 0x3e, 0x5d, 0x69, 0x75, 0x5e, 0x95, 0xee,
+ 0x32, 0xb9, 0xba, 0x55, 0xc5, 0x42, 0x74, 0x00, 0xe1, 0x0f, 0x16, 0x05,
+ 0x62, 0x3c, 0x58, 0xcb, 0xe0, 0xd4, 0xa9, 0xe5, 0x1a, 0x3b, 0x84, 0x7e,
+ 0x19, 0x87, 0xad, 0x67, 0xcd, 0x9b, 0x97, 0xb0, 0x32, 0xd7, 0xb8, 0x1e,
+ 0x96, 0x69, 0x75, 0x0f, 0x61, 0x69, 0xb3, 0xc9, 0xce, 0x73, 0x7c, 0x5f,
+ 0xd5, 0x08, 0xdf, 0xd4, 0x07, 0x75, 0x60, 0xd7, 0x50, 0x52, 0xe7, 0x5c,
+ 0x6f, 0x04, 0x59, 0x65, 0xbd, 0x70, 0x99, 0x15, 0xf9, 0xbc, 0x34, 0x78,
+ 0x6a, 0x64, 0xac, 0x5f, 0x07, 0xc2, 0x89, 0x88, 0xfe, 0x11, 0x7a, 0xf7,
+ 0x3d, 0xbe, 0x83, 0xff, 0xeb, 0x1d, 0x52, 0xbe, 0xd4, 0x09, 0x71, 0x0f,
+ 0x7c, 0x95, 0x19, 0xf2, 0x4b, 0xf5, 0x44, 0x63, 0xf2, 0xec, 0x3f, 0xf9,
+ 0xe4, 0xfb, 0xbe, 0x24, 0xb2, 0x18, 0x53, 0xce, 0x16, 0x40, 0x1e, 0x27,
+ 0x62, 0x99, 0x93, 0xc9, 0x49, 0x8f, 0x98, 0x0d, 0xd8, 0x73, 0x65, 0x99,
+ 0xac, 0xff, 0xfe, 0x22, 0x6a, 0xd1, 0xfb, 0xa1, 0xe4, 0xe7, 0xab, 0x3c,
+ 0x72, 0x10, 0xac, 0x72};
+
+/* Public keys in small subgroups of weak primes - fails in all modes*/
+static const unsigned char pub_key_bad_weak_1024[] = {3};
+static const unsigned char pub_key_bad_weak_2048[] = {3};
+static const unsigned char pub_key_bad_weak_3072[] = {3};
+static const unsigned char pub_key_bad_weak_4096[] = {3};
+static const unsigned char pub_key_bad_weak_6144[] = {3};
+static const unsigned char pub_key_bad_weak_8192[] = {3};
+
+#ifdef notdef
+/* Public keys not in group g of safe primes. - fails in fips mode */
+static const unsigned char pub_key_bad_safe_1536[] = {3};
+static const unsigned char pub_key_bad_safe_2048[] = {3};
+static const unsigned char pub_key_bad_safe_3072[] = {3};
+static const unsigned char pub_key_bad_safe_4096[] = {3};
+static const unsigned char pub_key_bad_safe_6144[] = {3};
+static const unsigned char pub_key_bad_safe_8192[] = {3};
+#endif
+
+enum DhParamType {
+ TLS_APPROVED,
+ IKE_APPROVED,
+ SAFE_PRIME,
+ SAFE_PRIME_WITH_SUBPRIME,
+ KNOWN_SUBPRIME,
+ WRONG_SUBPRIME,
+ UNKNOWN_SUBPRIME,
+ BAD_PUB_KEY
+};
+
+enum DhKeyClass {
+ CLASS_1536 = 0,
+ CLASS_2048,
+ CLASS_3072,
+ CLASS_4096,
+ CLASS_6144,
+ CLASS_8192,
+ CLASS_LAST
+};
+const DhKeyClass CLASS_FIRST = CLASS_1536;
+
+const unsigned char *reference_prime[CLASS_LAST] = {
+ prime_ike_1536, prime_tls_2048, prime_tls_3072,
+ prime_ike_4096, prime_ike_6144, prime_tls_8192};
+
+const size_t reference_prime_len[CLASS_LAST] = {
+ sizeof(prime_ike_1536), sizeof(prime_tls_2048), sizeof(prime_tls_3072),
+ sizeof(prime_ike_4096), sizeof(prime_ike_6144), sizeof(prime_tls_8192)};
+
+struct DhTestVector {
+ const char *id;
+ SECItem p;
+ SECItem g;
+ SECItem q;
+ SECItem pub_key;
+ DhParamType param_type;
+ DhKeyClass key_class;
+};
+
+static const unsigned char g2[] = {2};
+static const unsigned char g3[] = {3};
+
+static const DhTestVector DH_TEST_VECTORS[] = {
+ /* test our approved primes, the pass in all modes and configurations */
+ {"IKE 1536",
+ {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_1536},
+ {"IKE 2048",
+ {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_2048},
+ {"TLS 3048",
+ {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_2048},
+ {"IKE 3072",
+ {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_3072},
+ {"TLS 3072",
+ {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_3072},
+ {"IKE 4096",
+ {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_4096},
+ {"TLS 4096",
+ {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_4096},
+ {"IKE 6144",
+ {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_6144},
+ {"TLS 6144",
+ {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_6144},
+ {"IKE 8192",
+ {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_8192},
+ {"TLS 8192",
+ {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_8192},
+ /* approved primes with explicit subprimes.These should pass without
+ * the need to verify the primes and subprimes for primality */
+ {"IKE 1536 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_1536,
+ sizeof(sub2_prime_ike_1536)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_1536},
+ {"IKE 2048 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_2048, sizeof(prime_ike_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_2048,
+ sizeof(sub2_prime_ike_2048)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_2048},
+ {"TLS 2048 with subprime",
+ {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_2048,
+ sizeof(sub2_prime_tls_2048)},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_2048},
+ {"IKE 3072 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_3072, sizeof(prime_ike_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_3072,
+ sizeof(sub2_prime_ike_3072)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_3072},
+ {"TLS 3072 with subprime",
+ {siBuffer, (unsigned char *)prime_tls_3072, sizeof(prime_tls_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_3072,
+ sizeof(sub2_prime_tls_3072)},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_3072},
+ {"IKE 4096 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_4096, sizeof(prime_ike_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_4096,
+ sizeof(sub2_prime_ike_4096)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_4096},
+ {"TLS 4096 with subprime",
+ {siBuffer, (unsigned char *)prime_tls_4096, sizeof(prime_tls_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_4096,
+ sizeof(sub2_prime_tls_4096)},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_4096},
+ {"IKE 6144 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_6144, sizeof(prime_ike_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_6144,
+ sizeof(sub2_prime_ike_6144)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_6144},
+ {"TLS 6144 with subprime",
+ {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_6144,
+ sizeof(sub2_prime_tls_6144)},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_6144},
+ {"IKE 8192 with subprime",
+ {siBuffer, (unsigned char *)prime_ike_8192, sizeof(prime_ike_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_ike_8192,
+ sizeof(sub2_prime_ike_8192)},
+ {siBuffer, NULL, 0},
+ IKE_APPROVED,
+ CLASS_8192},
+ {"TLS 8192 with subprime",
+ {siBuffer, (unsigned char *)prime_tls_8192, sizeof(prime_tls_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_8192,
+ sizeof(sub2_prime_tls_8192)},
+ {siBuffer, NULL, 0},
+ TLS_APPROVED,
+ CLASS_8192},
+ /* test our non-approved safe primes. This primes should pass in
+ * non-FIPS and fail in FIPS. They should pass without checks */
+ {"Safe Prime 1536",
+ {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_1536},
+ {"Safe Prime 2048",
+ {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)},
+ {siBuffer, (unsigned char *)g3, sizeof(g3)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_2048},
+ {"Safe Prime 3072",
+ {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_3072},
+ {"Safe Prime 4096",
+ {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_4096},
+ {"Safe Prime 6144",
+ {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)},
+ {siBuffer, (unsigned char *)g3, sizeof(g3)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_6144},
+ {"Safe Prime 8192",
+ {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)},
+ {siBuffer, (unsigned char *)g3, sizeof(g3)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME,
+ CLASS_8192},
+ /* test our non-approved safe primes. This primes should pass in
+ * non-FIPS and fail in FIPS. In non-FIPS, they need checks */
+ {"Safe Prime 1536 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_1536, sizeof(prime_safe_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_1536,
+ sizeof(sub2_prime_safe_1536)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_1536},
+ {"Safe Prime 2048 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_2048,
+ sizeof(sub2_prime_safe_2048)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_2048},
+ {"Safe Prime 3072 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_3072, sizeof(prime_safe_3072)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_3072,
+ sizeof(sub2_prime_safe_3072)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_3072},
+ {"Safe Prime 4096 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_4096, sizeof(prime_safe_4096)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_4096,
+ sizeof(sub2_prime_safe_4096)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_4096},
+ {"Safe Prime 6144 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_6144, sizeof(prime_safe_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_6144,
+ sizeof(sub2_prime_safe_6144)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_6144},
+ {"Safe Prime 8192 with Subprime",
+ {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_8192,
+ sizeof(sub2_prime_safe_8192)},
+ {siBuffer, NULL, 0},
+ SAFE_PRIME_WITH_SUBPRIME,
+ CLASS_8192},
+ /* test "weak" primes with "unknown" subprimes. We use
+ * the same primes as the known subprimes, but we don't
+ * include the subprime in the test. These primes should
+ * pass in non-FIPS mode and fail in FIPS mode */
+ {"Weak Prime 1024 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)},
+ {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_1536},
+ {"Weak Prime 2048 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)},
+ {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_2048},
+ {"Weak Prime 3072 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)},
+ {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_3072},
+ {"Weak Prime 4096 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)},
+ {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_4096},
+ {"Weak Prime 6144 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)},
+ {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_6144},
+ {"Weak Prime 8192 Unknown Subprime",
+ {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)},
+ {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)},
+ {siBuffer, NULL, 0},
+ {siBuffer, NULL, 0},
+ UNKNOWN_SUBPRIME,
+ CLASS_8192},
+ /* test "weak" primes with known subprimes. These primes should
+ * pass in non-FIPS and fail in FIPS. In non-FIPS they should have full
+ * checks. */
+ {"Weak Prime 1024 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)},
+ {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)},
+ {siBuffer, (unsigned char *)subprime_weak_1024,
+ sizeof(subprime_weak_1024)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_1536},
+ {"Weak Prime 2048 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)},
+ {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)},
+ {siBuffer, (unsigned char *)subprime_weak_2048,
+ sizeof(subprime_weak_2048)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_2048},
+ {"Weak Prime 3072 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)},
+ {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)},
+ {siBuffer, (unsigned char *)subprime_weak_3072,
+ sizeof(subprime_weak_3072)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_3072},
+ {"Weak Prime 4096 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)},
+ {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)},
+ {siBuffer, (unsigned char *)subprime_weak_4096,
+ sizeof(subprime_weak_4096)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_4096},
+ {"Weak Prime 6144 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)},
+ {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)},
+ {siBuffer, (unsigned char *)subprime_weak_6144,
+ sizeof(subprime_weak_6144)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_6144},
+ {"Weak Prime 8192 Known Subprime",
+ {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)},
+ {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)},
+ {siBuffer, (unsigned char *)subprime_weak_8192,
+ sizeof(subprime_weak_8192)},
+ {siBuffer, NULL, 0},
+ KNOWN_SUBPRIME,
+ CLASS_8192},
+ /* test "weak" primes as if they were safe primes. These primes should
+ * faill in all modes. */
+ {"Weak Prime 1024 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)},
+ {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_1024,
+ sizeof(sub2_prime_weak_1024)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_1536},
+ {"Weak Prime 2048 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)},
+ {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_2048,
+ sizeof(sub2_prime_weak_2048)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_2048},
+ {"Weak Prime 3072 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)},
+ {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_3072,
+ sizeof(sub2_prime_weak_3072)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_3072},
+ {"Weak Prime 4096 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)},
+ {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_4096,
+ sizeof(sub2_prime_weak_4096)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_4096},
+ {"Weak Prime 6144 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)},
+ {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_6144,
+ sizeof(sub2_prime_weak_6144)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_6144},
+ {"Weak Prime 8192 Wrong Subprime",
+ {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)},
+ {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)},
+ {siBuffer, (unsigned char *)sub2_prime_weak_8192,
+ sizeof(sub2_prime_weak_8192)},
+ {siBuffer, NULL, 0},
+ WRONG_SUBPRIME,
+ CLASS_8192},
+ /******** Now test various invalid public keys */
+ /* first known small subgroups of safe primes. These test should
+ * fail in all modes with all primes */
+ {"Pubkey = 0 IKE 1536",
+ {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, (unsigned char *)pub_key_zero, sizeof(pub_key_zero)},
+ BAD_PUB_KEY,
+ CLASS_1536},
+ {"PubKey = 1 TLS 2048",
+ {siBuffer, (unsigned char *)prime_tls_2048, sizeof(prime_tls_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, (unsigned char *)pub_key_one, sizeof(pub_key_one)},
+ BAD_PUB_KEY,
+ CLASS_2048},
+ {"Pubkey == -1 IKE 1536",
+ {siBuffer, (unsigned char *)prime_ike_1536, sizeof(prime_ike_1536)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0},
+ {siBuffer, (unsigned char *)pub_key_minus_1_ike_1536,
+ sizeof(pub_key_minus_1_ike_1536)},
+ BAD_PUB_KEY,
+ CLASS_1536},
+ {"Pubkey = -1 SAFE 2048 WITH SUBPRIME",
+ {siBuffer, (unsigned char *)prime_safe_2048, sizeof(prime_safe_2048)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_safe_2048,
+ sizeof(sub2_prime_safe_2048)},
+ {siBuffer, (unsigned char *)pub_key_minus_1_safe_2048,
+ sizeof(pub_key_minus_1_safe_2048)},
+ BAD_PUB_KEY,
+ CLASS_2048},
+ {"Pubkey = -1 WEAK 3072 KNOWN SUBPRIME",
+ {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)},
+ {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)},
+ {siBuffer, (unsigned char *)subprime_weak_3072,
+ sizeof(subprime_weak_3072)},
+ {siBuffer, (unsigned char *)pub_key_minus_1_weak_3072,
+ sizeof(pub_key_minus_1_weak_3072)},
+ BAD_PUB_KEY,
+ CLASS_3072},
+ {"Pubkey = -1 WEAK 4096 UNKNOWN SUBPRIME",
+ {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)},
+ {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)},
+ {siBuffer, NULL, 0},
+ {siBuffer, (unsigned char *)pub_key_minus_1_weak_4096,
+ sizeof(pub_key_minus_1_weak_4096)},
+ BAD_PUB_KEY,
+ CLASS_4096},
+ {"Pubkey = -1 TLS 6144 WITH SUBPRIME",
+ {siBuffer, (unsigned char *)prime_tls_6144, sizeof(prime_tls_6144)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, (unsigned char *)sub2_prime_tls_6144,
+ sizeof(sub2_prime_tls_6144)},
+ {siBuffer, (unsigned char *)pub_key_minus_1_tls_6144,
+ sizeof(pub_key_minus_1_tls_6144)},
+ BAD_PUB_KEY,
+ CLASS_6144},
+ {"Pubkey = -1 SAFE 8192",
+ {siBuffer, (unsigned char *)prime_safe_8192, sizeof(prime_safe_8192)},
+ {siBuffer, (unsigned char *)g2, sizeof(g2)},
+ {siBuffer, NULL, 0 },
+ {siBuffer, (unsigned char *)pub_key_minus_1_safe_8192,
+ sizeof(pub_key_minus_1_safe_8192)},
+ BAD_PUB_KEY,
+ CLASS_8192},
+ /* y is a known small subgroups of weak primes (which known subprimes).
+ * These test should fail in all modes with all primes */
+ {"Pubkey small subgroup Weak 1024 prime",
+ {siBuffer, (unsigned char *)prime_weak_1024, sizeof(prime_weak_1024)},
+ {siBuffer, (unsigned char *)base_weak_1024, sizeof(base_weak_1024)},
+ {siBuffer, (unsigned char *)subprime_weak_1024,
+ sizeof(subprime_weak_1024)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_1024,
+ sizeof(pub_key_bad_weak_1024)},
+ BAD_PUB_KEY,
+ CLASS_1536},
+ {"Pubkey small subgroup Weak 2048 prime",
+ {siBuffer, (unsigned char *)prime_weak_2048, sizeof(prime_weak_2048)},
+ {siBuffer, (unsigned char *)base_weak_2048, sizeof(base_weak_2048)},
+ {siBuffer, (unsigned char *)subprime_weak_2048,
+ sizeof(subprime_weak_2048)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_2048,
+ sizeof(pub_key_bad_weak_2048)},
+ BAD_PUB_KEY,
+ CLASS_2048},
+ {"Pubkey small subgroup Weak 3072 prime",
+ {siBuffer, (unsigned char *)prime_weak_3072, sizeof(prime_weak_3072)},
+ {siBuffer, (unsigned char *)base_weak_3072, sizeof(base_weak_3072)},
+ {siBuffer, (unsigned char *)subprime_weak_3072,
+ sizeof(subprime_weak_3072)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_3072,
+ sizeof(pub_key_bad_weak_3072)},
+ BAD_PUB_KEY,
+ CLASS_3072},
+ {"Pubkey small subgroup Weak 4096 prime",
+ {siBuffer, (unsigned char *)prime_weak_4096, sizeof(prime_weak_4096)},
+ {siBuffer, (unsigned char *)base_weak_4096, sizeof(base_weak_4096)},
+ {siBuffer, (unsigned char *)subprime_weak_4096,
+ sizeof(subprime_weak_4096)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_4096,
+ sizeof(pub_key_bad_weak_4096)},
+ BAD_PUB_KEY,
+ CLASS_4096},
+ {"Pubkey small subgroup Weak 6144 prime",
+ {siBuffer, (unsigned char *)prime_weak_6144, sizeof(prime_weak_6144)},
+ {siBuffer, (unsigned char *)base_weak_6144, sizeof(base_weak_6144)},
+ {siBuffer, (unsigned char *)subprime_weak_6144,
+ sizeof(subprime_weak_6144)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_6144,
+ sizeof(pub_key_bad_weak_6144)},
+ BAD_PUB_KEY,
+ CLASS_6144},
+ {"Pubkey small subgroup Weak 8192 prime",
+ {siBuffer, (unsigned char *)prime_weak_8192, sizeof(prime_weak_8192)},
+ {siBuffer, (unsigned char *)base_weak_8192, sizeof(base_weak_8192)},
+ {siBuffer, (unsigned char *)subprime_weak_8192,
+ sizeof(subprime_weak_8192)},
+ {siBuffer, (unsigned char *)pub_key_bad_weak_8192,
+ sizeof(pub_key_bad_weak_8192)},
+ BAD_PUB_KEY,
+ CLASS_8192}};
+};
diff --git a/gtests/softoken_gtest/softoken_gtest.cc b/gtests/softoken_gtest/softoken_gtest.cc
--- a/gtests/softoken_gtest/softoken_gtest.cc
+++ b/gtests/softoken_gtest/softoken_gtest.cc
@@ -6,20 +6,24 @@
#include "secmod.h"
#include "secerr.h"
#include "nss_scoped_ptrs.h"
#include "util.h"
#define GTEST_HAS_RTTI 0
#include "gtest/gtest.h"
+#include "databuffer.h"
#include <fstream>
+#include <chrono>
+using namespace std::chrono;
+
+#include "softoken_dh_vectors.h"
namespace nss_test {
-
class SoftokenTest : public ::testing::Test {
protected:
SoftokenTest() : mNSSDBDir("SoftokenTest.d-") {}
SoftokenTest(const std::string &prefix) : mNSSDBDir(prefix) {}
virtual void SetUp() {
std::string nssInitArg("sql:");
nssInitArg.append(mNSSDBDir.GetUTF8Path());
@@ -522,35 +526,260 @@ TEST_F(SoftokenNoDBTest, NeedUserInitNoD
ASSERT_TRUE(slot);
EXPECT_EQ(PR_FALSE, PK11_NeedUserInit(slot.get()));
// When shutting down in here we have to release the slot first.
slot = nullptr;
ASSERT_EQ(SECSuccess, NSS_Shutdown());
}
+SECStatus test_dh_value(const PQGParams *params, const SECItem *pub_key_value,
+ PRBool genFailOK, time_t *time) {
+ SECKEYDHParams dh_params;
+ dh_params.base = params->base;
+ dh_params.prime = params->prime;
+
+ ScopedPK11SlotInfo slot(PK11_GetInternalSlot());
+ EXPECT_TRUE(slot);
+ if (!slot) return SECFailure;
+
+ /* create a private/public key pair in with the given params */
+ SECKEYPublicKey *pub_tmp = nullptr;
+ ScopedSECKEYPrivateKey priv_key(
+ PK11_GenerateKeyPair(slot.get(), CKM_DH_PKCS_KEY_PAIR_GEN, &dh_params,
+ &pub_tmp, PR_FALSE, PR_TRUE, nullptr));
+ if ((genFailOK) &&
+ ((priv_key.get() == nullptr) || (pub_tmp == nullptr))) {
+ return SECFailure;
+ }
+ EXPECT_NE(nullptr, priv_key.get()) << "PK11_GenerateKeyPair failed: "
+ << PORT_ErrorToName(PORT_GetError());
+ EXPECT_NE(nullptr, pub_tmp);
+ if ((priv_key.get() == nullptr) || (pub_tmp == nullptr)) return SECFailure;
+ ScopedSECKEYPublicKey pub_key(pub_tmp);
+ ScopedSECKEYPublicKey peer_pub_key_manager(nullptr);
+ SECKEYPublicKey *peer_pub_key = pub_key.get();
+
+ /* if a subprime has been given set it on the PKCS #11 key */
+ if (params->subPrime.data != nullptr) {
+ SECStatus rv;
+ EXPECT_EQ(SECSuccess, rv = PK11_WriteRawAttribute(
+ PK11_TypePrivKey, priv_key.get(), CKA_SUBPRIME,
+ (SECItem *)&params->subPrime))
+ << "PK11_WriteRawAttribute failed: "
+ << PORT_ErrorToString(PORT_GetError());
+ if (rv != SECSuccess) {
+ return rv;
+ }
+ }
+
+ /* find if we weren't passed a public value in, use the
+ * one we just generated */
+ if (pub_key_value && pub_key_value->data) {
+ peer_pub_key = SECKEY_CopyPublicKey(pub_key.get());
+ EXPECT_NE(nullptr, peer_pub_key);
+ if (peer_pub_key == nullptr) {
+ return SECFailure;
+ }
+ peer_pub_key->u.dh.publicValue = *pub_key_value;
+ peer_pub_key_manager.reset(peer_pub_key);
+ }
+
+ /* now do the derive. time it and return the time if
+ * the caller requested it. */
+ auto start = high_resolution_clock::now();
+ ScopedPK11SymKey derivedKey(PK11_PubDerive(
+ priv_key.get(), peer_pub_key, PR_FALSE, nullptr, nullptr,
+ CKM_DH_PKCS_DERIVE, CKM_HKDF_DERIVE, CKA_DERIVE, 32, nullptr));
+ auto stop = high_resolution_clock::now();
+ if (!derivedKey) {
+ std::cerr << "PK11_PubDerive failed: "
+ << PORT_ErrorToString(PORT_GetError()) << std::endl;
+ }
+
+ if (time) {
+ auto duration = duration_cast<microseconds>(stop - start);
+ *time = duration.count();
+ }
+ return derivedKey ? SECSuccess : SECFailure;
+}
+
+class SoftokenDhTest : public SoftokenTest {
+ protected:
+ SoftokenDhTest() : SoftokenTest("SoftokenDhTest.d-") {}
+ time_t reference_time[CLASS_LAST] = {0};
+
+ virtual void SetUp() {
+ SoftokenTest::SetUp();
+
+ ScopedPK11SlotInfo slot(PK11_GetInternalSlot());
+ ASSERT_TRUE(slot);
+
+ time_t time;
+ for (int i = CLASS_FIRST; i < CLASS_LAST; i++) {
+ PQGParams params;
+ params.prime.data = (unsigned char *)reference_prime[i];
+ params.prime.len = reference_prime_len[i];
+ params.base.data = (unsigned char *)g2;
+ params.base.len = sizeof(g2);
+ params.subPrime.data = nullptr;
+ params.subPrime.len = 0;
+ ASSERT_EQ(SECSuccess, test_dh_value(&params, nullptr, PR_FALSE, &time));
+ reference_time[i] = time + 2 * time;
+ }
+ };
+};
+
+const char *param_value(DhParamType param_type) {
+ switch (param_type) {
+ case TLS_APPROVED:
+ return "TLS_APPROVED";
+ case IKE_APPROVED:
+ return "IKE_APPROVED";
+ case SAFE_PRIME:
+ return "SAFE_PRIME";
+ case SAFE_PRIME_WITH_SUBPRIME:
+ return "SAFE_PRIME_WITH_SUBPRIME";
+ case KNOWN_SUBPRIME:
+ return "KNOWN_SUBPRIME";
+ case UNKNOWN_SUBPRIME:
+ return "UNKNOWN_SUBPRIME";
+ case WRONG_SUBPRIME:
+ return "WRONG_SUBPRIME";
+ case BAD_PUB_KEY:
+ return "BAD_PUB_KEY";
+ }
+ return "**Invalid**";
+}
+
+const char *key_value(DhKeyClass key_class) {
+ switch (key_class) {
+ case CLASS_1536:
+ return "CLASS_1536";
+ case CLASS_2048:
+ return "CLASS_2048";
+ case CLASS_3072:
+ return "CLASS_3072";
+ case CLASS_4096:
+ return "CLASS_4096";
+ case CLASS_6144:
+ return "CLASS_6144";
+ case CLASS_8192:
+ return "CLASS_8192";
+ case CLASS_LAST:
+ break;
+ }
+ return "**Invalid**";
+}
+
+class SoftokenDhValidate : public SoftokenDhTest,
+ public ::testing::WithParamInterface<DhTestVector> {
+};
+
+/* test the DH validation process. In non-fips mode, only BAD_PUB_KEY tests
+ * should fail */
+TEST_P(SoftokenDhValidate, DhVectors) {
+ const DhTestVector dhTestValues = GetParam();
+ std::string testId = (char *)(dhTestValues.id);
+ std::string err = "Test(" + testId + ") failed";
+ SECStatus rv;
+ time_t time;
+
+ PQGParams params;
+ params.prime = dhTestValues.p;
+ params.base = dhTestValues.g;
+ params.subPrime = dhTestValues.q;
+
+ std::cerr << "Test: " + testId << std::endl
+ << "param_type: " << param_value(dhTestValues.param_type)
+ << ", key_class: " << key_value(dhTestValues.key_class) << std::endl
+ << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len)
+ << std::endl
+ << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len)
+ << std::endl
+ << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len)
+ << std::endl
+ << "pub_key: "
+ << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len)
+ << std::endl;
+ rv = test_dh_value(&params, &dhTestValues.pub_key, PR_FALSE, &time);
+
+ switch (dhTestValues.param_type) {
+ case TLS_APPROVED:
+ case IKE_APPROVED:
+ case SAFE_PRIME:
+ case UNKNOWN_SUBPRIME:
+ EXPECT_EQ(SECSuccess, rv) << err;
+ EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err;
+ break;
+ case KNOWN_SUBPRIME:
+ case SAFE_PRIME_WITH_SUBPRIME:
+ EXPECT_EQ(SECSuccess, rv) << err;
+ EXPECT_GT(time, reference_time[dhTestValues.key_class]) << err;
+ break;
+ case WRONG_SUBPRIME:
+ case BAD_PUB_KEY:
+ EXPECT_EQ(SECFailure, rv) << err;
+ break;
+ }
+}
+
+INSTANTIATE_TEST_CASE_P(DhValidateCases, SoftokenDhValidate,
+ ::testing::ValuesIn(DH_TEST_VECTORS));
+
#ifndef NSS_FIPS_DISABLED
class SoftokenFipsTest : public SoftokenTest {
protected:
SoftokenFipsTest() : SoftokenTest("SoftokenFipsTest.d-") {}
+ SoftokenFipsTest(const std::string &prefix) : SoftokenTest(prefix) {}
virtual void SetUp() {
SoftokenTest::SetUp();
// Turn on FIPS mode (code borrowed from FipsMode in modutil/pk11.c)
char *internal_name;
ASSERT_FALSE(PK11_IsFIPS());
internal_name = PR_smprintf("%s", SECMOD_GetInternalModule()->commonName);
- ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name));
+ ASSERT_EQ(SECSuccess, SECMOD_DeleteInternalModule(internal_name))
+ << PORT_ErrorToName(PORT_GetError());
PR_smprintf_free(internal_name);
ASSERT_TRUE(PK11_IsFIPS());
}
};
+class SoftokenFipsDhTest : public SoftokenFipsTest {
+ protected:
+ SoftokenFipsDhTest() : SoftokenFipsTest("SoftokenFipsDhTest.d-") {}
+ time_t reference_time[CLASS_LAST] = {0};
+
+ virtual void SetUp() {
+ SoftokenFipsTest::SetUp();
+
+ ScopedPK11SlotInfo slot(PK11_GetInternalSlot());
+ ASSERT_TRUE(slot);
+
+ ASSERT_EQ(SECSuccess, PK11_InitPin(slot.get(), nullptr, ""));
+ ASSERT_EQ(SECSuccess, PK11_Authenticate(slot.get(), PR_FALSE, nullptr));
+
+ time_t time;
+ for (int i = CLASS_FIRST; i < CLASS_LAST; i++) {
+ PQGParams params;
+ params.prime.data = (unsigned char *)reference_prime[i];
+ params.prime.len = reference_prime_len[i];
+ params.base.data = (unsigned char *)g2;
+ params.base.len = sizeof(g2);
+ params.subPrime.data = nullptr;
+ params.subPrime.len = 0;
+ ASSERT_EQ(SECSuccess, test_dh_value(&params, nullptr, PR_FALSE, &time));
+ reference_time[i] = time + 2 * time;
+ }
+ };
+};
+
const std::vector<std::string> kFipsPasswordCases[] = {
// FIPS level1 -> level1 -> level1
{"", "", ""},
// FIPS level1 -> level1 -> level2
{"", "", "strong-_123"},
// FIXME: this should work: FIPS level1 -> level2 -> level2
// {"", "strong-_123", "strong-_456"},
// FIPS level2 -> level2 -> level2
@@ -608,22 +837,78 @@ TEST_P(SoftokenFipsBadPasswordTest, SetB
rv = PK11_ChangePW(slot.get(), (*prev_it).c_str(), (*it).c_str());
if (it + 1 == passwords.end())
EXPECT_EQ(SECFailure, rv);
else
EXPECT_EQ(SECSuccess, rv);
}
}
+class SoftokenFipsDhValidate
+ : public SoftokenFipsDhTest,
+ public ::testing::WithParamInterface<DhTestVector> {};
+
+/* test the DH validation process. In fips mode, primes with unknown
+ * subprimes, and all sorts of bad public keys should fail */
+TEST_P(SoftokenFipsDhValidate, DhVectors) {
+ const DhTestVector dhTestValues = GetParam();
+ std::string testId = (char *)(dhTestValues.id);
+ std::string err = "Test(" + testId + ") failed";
+ time_t time;
+ PRBool genFailOK = PR_FALSE;
+ SECStatus rv;
+
+ PQGParams params;
+ params.prime = dhTestValues.p;
+ params.base = dhTestValues.g;
+ params.subPrime = dhTestValues.q;
+ std::cerr << "Test:" + testId << std::endl
+ << "param_type: " << param_value(dhTestValues.param_type)
+ << ", key_class: " << key_value(dhTestValues.key_class) << std::endl
+ << "p: " << DataBuffer(dhTestValues.p.data, dhTestValues.p.len)
+ << std::endl
+ << "g: " << DataBuffer(dhTestValues.g.data, dhTestValues.g.len)
+ << std::endl
+ << "q: " << DataBuffer(dhTestValues.q.data, dhTestValues.q.len)
+ << std::endl
+ << "pub_key: "
+ << DataBuffer(dhTestValues.pub_key.data, dhTestValues.pub_key.len)
+ << std::endl;
+
+ if ((dhTestValues.param_type != TLS_APPROVED) &&
+ (dhTestValues.param_type != IKE_APPROVED)) {
+ genFailOK = PR_TRUE;
+ }
+ rv = test_dh_value(&params, &dhTestValues.pub_key, genFailOK, &time);
+
+ switch (dhTestValues.param_type) {
+ case TLS_APPROVED:
+ case IKE_APPROVED:
+ EXPECT_EQ(SECSuccess, rv) << err;
+ EXPECT_LE(time, reference_time[dhTestValues.key_class]) << err;
+ break;
+ case SAFE_PRIME:
+ case SAFE_PRIME_WITH_SUBPRIME:
+ case KNOWN_SUBPRIME:
+ case UNKNOWN_SUBPRIME:
+ case WRONG_SUBPRIME:
+ case BAD_PUB_KEY:
+ EXPECT_EQ(SECFailure, rv) << err;
+ break;
+ }
+}
+
INSTANTIATE_TEST_CASE_P(FipsPasswordCases, SoftokenFipsPasswordTest,
::testing::ValuesIn(kFipsPasswordCases));
INSTANTIATE_TEST_CASE_P(BadFipsPasswordCases, SoftokenFipsBadPasswordTest,
::testing::ValuesIn(kFipsPasswordBadCases));
+INSTANTIATE_TEST_CASE_P(FipsDhCases, SoftokenFipsDhValidate,
+ ::testing::ValuesIn(DH_TEST_VECTORS));
#endif
} // namespace nss_test
int main(int argc, char **argv) {
::testing::InitGoogleTest(&argc, argv);
return RUN_ALL_TESTS();
diff --git a/gtests/softoken_gtest/softoken_gtest.gyp b/gtests/softoken_gtest/softoken_gtest.gyp
--- a/gtests/softoken_gtest/softoken_gtest.gyp
+++ b/gtests/softoken_gtest/softoken_gtest.gyp
@@ -11,16 +11,17 @@
'target_name': 'softoken_gtest',
'type': 'executable',
'sources': [
'softoken_gtest.cc',
'softoken_nssckbi_testlib_gtest.cc',
],
'dependencies': [
'<(DEPTH)/exports.gyp:nss_exports',
+ '<(DEPTH)/cpputil/cpputil.gyp:cpputil',
'<(DEPTH)/lib/util/util.gyp:nssutil3',
'<(DEPTH)/gtests/google_test/google_test.gyp:gtest',
],
'conditions': [
[ 'static_libs==1', {
'dependencies': [
'<(DEPTH)/lib/nss/nss.gyp:nss_static',
'<(DEPTH)/lib/pk11wrap/pk11wrap.gyp:pk11wrap_static',
diff --git a/lib/freebl/blapi.h b/lib/freebl/blapi.h
--- a/lib/freebl/blapi.h
+++ b/lib/freebl/blapi.h
@@ -375,16 +375,20 @@ extern SECStatus KEA_Derive(SECItem *pri
SECItem *derivedSecret);
/*
* verify that a KEA or DSA public key is a valid key for this prime and
* subprime domain.
*/
extern PRBool KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime);
+/* verify a value is prime */
+PRBool KEA_PrimeCheck(SECItem *prime);
+
+
/****************************************
* J-PAKE key transport
*/
/* Given gx == g^x, create a Schnorr zero-knowledge proof for the value x
* using the specified hash algorithm and signer ID. The signature is
* returned in the values gv and r. testRandom must be NULL for a PRNG
* generated random committment to be used in the sigature. When testRandom
diff --git a/lib/freebl/dh.c b/lib/freebl/dh.c
--- a/lib/freebl/dh.c
+++ b/lib/freebl/dh.c
@@ -12,16 +12,17 @@
#include "prerr.h"
#include "secerr.h"
#include "blapi.h"
#include "blapii.h"
#include "secitem.h"
#include "mpi.h"
+#include "mpprime.h"
#include "secmpi.h"
#define KEA_DERIVED_SECRET_LEN 128
/* Lengths are in bytes. */
static unsigned int
dh_GetSecretKeyLen(unsigned int primeLen)
{
@@ -73,17 +74,17 @@ DH_GenParam(int primeLen, DHParams **par
MP_DIGITS(&psub1) = 0;
MP_DIGITS(&test) = 0;
CHECK_MPI_OK(mp_init(&p));
CHECK_MPI_OK(mp_init(&q));
CHECK_MPI_OK(mp_init(&a));
CHECK_MPI_OK(mp_init(&h));
CHECK_MPI_OK(mp_init(&psub1));
CHECK_MPI_OK(mp_init(&test));
- /* generate prime with MPI, uses Miller-Rabin to generate strong prime. */
+ /* generate prime with MPI, uses Miller-Rabin to generate safe prime. */
CHECK_SEC_OK(generate_prime(&p, primeLen));
/* construct Sophie-Germain prime q = (p-1)/2. */
CHECK_MPI_OK(mp_sub_d(&p, 1, &psub1));
CHECK_MPI_OK(mp_div_2(&psub1, &q));
/* construct a generator from the prime. */
ab = PORT_Alloc(primeLen);
if (!ab) {
PORT_SetError(SEC_ERROR_NO_MEMORY);
@@ -252,27 +253,27 @@ DH_Derive(SECItem *publicValue,
/* number of bytes in the derived secret */
len = mp_unsigned_octet_size(&ZZ);
if (len <= 0) {
err = MP_BADARG;
goto cleanup;
}
/*
- * We check to make sure that ZZ is not equal to 1 or -1 mod p.
+ * We check to make sure that ZZ is not equal to 0, 1 or -1 mod p.
* This helps guard against small subgroup attacks, since an attacker
- * using a subgroup of size N will produce 1 or -1 with probability 1/N.
+ * using a subgroup of size N will produce 0, 1 or -1 with probability 1/N.
* When the protocol is executed within a properly large subgroup, the
* probability of this result will be negligibly small. For example,
- * with a strong prime of the form 2p+1, the probability will be 1/p.
+ * with a safe prime of the form 2q+1, the probability will be 1/q.
*
* We return MP_BADARG because this is probably the result of a bad
* public value or a bad prime having been provided.
*/
- if (mp_cmp_d(&ZZ, 1) == 0 ||
+ if (mp_cmp_d(&ZZ,0) == 0 || mp_cmp_d(&ZZ, 1) == 0 ||
mp_cmp(&ZZ, &psub1) == 0) {
err = MP_BADARG;
goto cleanup;
}
/* allocate a buffer which can hold the entire derived secret. */
secret = PORT_Alloc(len);
if (secret == NULL) {
@@ -408,16 +409,44 @@ cleanup:
MP_TO_SEC_ERROR(err);
if (derivedSecret->data)
PORT_ZFree(derivedSecret->data, derivedSecret->len);
return SECFailure;
}
return SECSuccess;
}
+/* Test counts based on the fact the prime and subprime
+ * were given to us */
+static int
+dh_prime_testcount(int prime_length)
+{
+ if (prime_length < 1024) {
+ return 50;
+ } else if (prime_length < 2048) {
+ return 40;
+ } else if (prime_length < 3072) {
+ return 56;
+ }
+ return 64;
+}
+
+PRBool
+KEA_PrimeCheck(SECItem *prime)
+{
+ mp_int p;
+ mp_err err=0;
+ MP_DIGITS(&p) = 0;
+ CHECK_MPI_OK(mp_init(&p));
+ SECITEM_TO_MPINT(*prime, &p);
+ CHECK_MPI_OK(mpp_pprime(&p, dh_prime_testcount(prime->len)));
+cleanup:
+ return err ? PR_FALSE : PR_TRUE;
+}
+
PRBool
KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime)
{
mp_int p, q, y, r;
mp_err err;
int cmp = 1; /* default is false */
if (!Y || !prime || !subPrime) {
PORT_SetError(SEC_ERROR_INVALID_ARGS);
diff --git a/lib/freebl/ldvector.c b/lib/freebl/ldvector.c
--- a/lib/freebl/ldvector.c
+++ b/lib/freebl/ldvector.c
@@ -348,19 +348,22 @@ static const struct FREEBLVectorStr vect
CMAC_Finish,
CMAC_Destroy,
/* End of version 3.022 */
ChaCha20Poly1305_Encrypt,
ChaCha20Poly1305_Decrypt,
AES_AEAD,
AESKeyWrap_EncryptKWP,
- AESKeyWrap_DecryptKWP
+ AESKeyWrap_DecryptKWP,
/* End of version 3.023 */
+ KEA_PrimeCheck
+
+ /* End of version 3.024 */
};
const FREEBLVector*
FREEBL_GetVector(void)
{
#ifdef FREEBL_NO_DEPEND
SECStatus rv;
#endif
diff --git a/lib/freebl/loader.c b/lib/freebl/loader.c
--- a/lib/freebl/loader.c
+++ b/lib/freebl/loader.c
@@ -231,16 +231,24 @@ KEA_Derive(SECItem *prime, SECItem *publ
PRBool
KEA_Verify(SECItem *Y, SECItem *prime, SECItem *subPrime)
{
if (!vector && PR_SUCCESS != freebl_RunLoaderOnce())
return PR_FALSE;
return (vector->p_KEA_Verify)(Y, prime, subPrime);
}
+PRBool
+KEA_PrimeCheck(SECItem *prime)
+{
+ if (!vector && PR_SUCCESS != freebl_RunLoaderOnce())
+ return PR_FALSE;
+ return (vector->p_KEA_PrimeCheck)(prime);
+}
+
RC4Context *
RC4_CreateContext(const unsigned char *key, int len)
{
if (!vector && PR_SUCCESS != freebl_RunLoaderOnce())
return NULL;
return (vector->p_RC4_CreateContext)(key, len);
}
diff --git a/lib/freebl/loader.h b/lib/freebl/loader.h
--- a/lib/freebl/loader.h
+++ b/lib/freebl/loader.h
@@ -5,17 +5,17 @@
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#ifndef _LOADER_H_
#define _LOADER_H_ 1
#include "blapi.h"
-#define FREEBL_VERSION 0x0323
+#define FREEBL_VERSION 0x0324
struct FREEBLVectorStr {
unsigned short length; /* of this struct in bytes */
unsigned short version; /* of this struct. */
RSAPrivateKey *(*p_RSA_NewKey)(int keySizeInBits,
SECItem *publicExponent);
@@ -807,16 +807,20 @@ struct FREEBLVectorStr {
unsigned char *output,
unsigned int *outputLen,
unsigned int maxOutputLen,
const unsigned char *input,
unsigned int inputLen);
/* Version 3.023 came to here */
+ PRBool (*p_KEA_PrimeCheck)(SECItem *prime);
+ /* Version 3.024 came to here */
+
+
/* Add new function pointers at the end of this struct and bump
* FREEBL_VERSION at the beginning of this file. */
};
typedef struct FREEBLVectorStr FREEBLVector;
#ifdef FREEBL_LOWHASH
#include "nsslowhash.h"
diff --git a/lib/softoken/manifest.mn b/lib/softoken/manifest.mn
--- a/lib/softoken/manifest.mn
+++ b/lib/softoken/manifest.mn
@@ -39,16 +39,17 @@ CSRCS = \
lowkey.c \
lowpbe.c \
padbuf.c \
pkcs11.c \
pkcs11c.c \
pkcs11u.c \
sdb.c \
sftkdb.c \
+ sftkdhverify.c \
sftkhmac.c \
sftkike.c \
sftkmessage.c \
sftkpars.c \
sftkpwd.c \
softkver.c \
tlsprf.c \
jpakesftk.c \
diff --git a/lib/softoken/pkcs11.c b/lib/softoken/pkcs11.c
--- a/lib/softoken/pkcs11.c
+++ b/lib/softoken/pkcs11.c
@@ -1191,16 +1191,21 @@ sftk_handlePrivateKeyObject(SFTKSession
return CKR_TEMPLATE_INCOMPLETE;
}
if (!sftk_hasAttribute(object, CKA_BASE)) {
return CKR_TEMPLATE_INCOMPLETE;
}
if (!sftk_hasAttribute(object, CKA_VALUE)) {
return CKR_TEMPLATE_INCOMPLETE;
}
+ /* allow subprime to be set after the fact */
+ crv = sftk_defaultAttribute(object, CKA_SUBPRIME, NULL, 0);
+ if (crv != CKR_OK) {
+ return crv;
+ }
encrypt = CK_FALSE;
recover = CK_FALSE;
wrap = CK_FALSE;
break;
case CKK_EC:
if (!sftk_hasAttribute(object, CKA_EC_PARAMS)) {
return CKR_TEMPLATE_INCOMPLETE;
}
diff --git a/lib/softoken/pkcs11c.c b/lib/softoken/pkcs11c.c
--- a/lib/softoken/pkcs11c.c
+++ b/lib/softoken/pkcs11c.c
@@ -4738,31 +4738,37 @@ loser:
*
* This function returns
* CKR_OK if pairwise consistency check passed
* CKR_GENERAL_ERROR if pairwise consistency check failed
* other error codes if paiswise consistency check could not be
* performed, for example, CKR_HOST_MEMORY.
*/
static CK_RV
-sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession,
+sftk_PairwiseConsistencyCheck(CK_SESSION_HANDLE hSession, SFTKSlot *slot,
SFTKObject *publicKey, SFTKObject *privateKey, CK_KEY_TYPE keyType)
{
/*
* Key type Mechanism type
* --------------------------------
* For encrypt/decrypt: CKK_RSA => CKM_RSA_PKCS
* others => CKM_INVALID_MECHANISM
*
* For sign/verify: CKK_RSA => CKM_RSA_PKCS
* CKK_DSA => CKM_DSA
* CKK_EC => CKM_ECDSA
* others => CKM_INVALID_MECHANISM
*
* None of these mechanisms has a parameter.
+ *
+ * For derive CKK_DH => CKM_DH_PKCS_DERIVE
+ * CKK_EC => CKM_ECDH1_DERIVE
+ * others => CKM_INVALID_MECHANISM
+ *
+ * The parameters for these mechanisms is the public key.
*/
CK_MECHANISM mech = { 0, NULL, 0 };
CK_ULONG modulusLen = 0;
CK_ULONG subPrimeLen = 0;
PRBool isEncryptable = PR_FALSE;
PRBool canSignVerify = PR_FALSE;
PRBool isDerivable = PR_FALSE;
@@ -5012,34 +5018,116 @@ sftk_PairwiseConsistencyCheck(CK_SESSION
/**********************************************/
/* Pairwise Consistency Check for Derivation */
/**********************************************/
isDerivable = sftk_isTrue(privateKey, CKA_DERIVE);
if (isDerivable) {
- /*
- * We are not doing consistency check for Diffie-Hellman Key -
- * otherwise it would be here
- * This is also true for Elliptic Curve Diffie-Hellman keys
- * NOTE: EC keys are currently subjected to pairwise
- * consistency check for signing/verification.
- */
- /*
- * FIPS 140-2 had the following pairwise consistency test for
- * public and private keys used for key agreement:
- * If the keys are used to perform key agreement, then the
- * cryptographic module shall create a second, compatible
- * key pair. The cryptographic module shall perform both
- * sides of the key agreement algorithm and shall compare
- * the resulting shared values. If the shared values are
- * not equal, the test shall fail.
- * This test was removed in Change Notice 3.
- */
+ SFTKAttribute *pubAttribute = NULL;
+ CK_OBJECT_HANDLE newKey;
+ PRBool isFIPS = (slot->slotID == FIPS_SLOT_ID);
+ CK_RV crv2;
+ CK_OBJECT_CLASS secret = CKO_SECRET_KEY;
+ CK_KEY_TYPE generic = CKK_GENERIC_SECRET;
+ CK_ULONG keyLen = 128;
+ CK_BBOOL ckTrue = CK_TRUE;
+ CK_ATTRIBUTE template[] = {
+ { CKA_CLASS, &secret, sizeof(secret) },
+ { CKA_KEY_TYPE, &generic, sizeof(generic) },
+ { CKA_VALUE_LEN, &keyLen, sizeof(keyLen) },
+ { CKA_DERIVE, &ckTrue, sizeof(ckTrue) }
+ };
+ CK_ULONG templateCount = PR_ARRAY_SIZE(template);
+ CK_ECDH1_DERIVE_PARAMS ecParams;
+
+ crv = CKR_OK; /*paranoia, already get's set before we drop to the end */
+ /* FIPS 140-2 requires we verify that the resulting key is a valid key.
+ * The easiest way to do this is to do a derive operation, which checks
+ * the validity of the key */
+
+ switch (keyType) {
+ case CKK_DH:
+ mech.mechanism = CKM_DH_PKCS_DERIVE;
+ pubAttribute = sftk_FindAttribute(publicKey, CKA_VALUE);
+ if (pubAttribute == NULL) {
+ return CKR_DEVICE_ERROR;
+ }
+ mech.pParameter = pubAttribute->attrib.pValue;
+ mech.ulParameterLen = pubAttribute->attrib.ulValueLen;
+ break;
+ case CKK_EC:
+ mech.mechanism = CKM_ECDH1_DERIVE;
+ pubAttribute = sftk_FindAttribute(publicKey, CKA_EC_POINT);
+ if (pubAttribute == NULL) {
+ return CKR_DEVICE_ERROR;
+ }
+ ecParams.kdf = CKD_NULL;
+ ecParams.ulSharedDataLen = 0;
+ ecParams.pSharedData = NULL;
+ ecParams.ulPublicDataLen = pubAttribute->attrib.ulValueLen;
+ ecParams.pPublicData = pubAttribute->attrib.pValue;
+ mech.pParameter = &ecParams;
+ mech.ulParameterLen = sizeof(ecParams);
+ break;
+ default:
+ return CKR_DEVICE_ERROR;
+ }
+
+ crv = NSC_DeriveKey(hSession, &mech, privateKey->handle, template, templateCount, &newKey);
+ if (crv != CKR_OK) {
+ sftk_FreeAttribute(pubAttribute);
+ return crv;
+ }
+ /* FIPS requires full validation, but in fipx mode NSC_Derive
+ * only does partial validation with approved primes, now handle
+ * full validation */
+ if (isFIPS && keyType == CKK_DH) {
+ SECItem pubKey;
+ SECItem prime;
+ SECItem subPrime;
+ const SECItem *subPrimePtr = &subPrime;
+
+ pubKey.data = pubAttribute->attrib.pValue;
+ pubKey.len = pubAttribute->attrib.ulValueLen;
+ prime.data = subPrime.data = NULL;
+ prime.len = subPrime.len = 0;
+ crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME);
+ if (crv != CKR_OK) {
+ goto done;
+ }
+ crv = sftk_Attribute2SecItem(NULL, &prime, privateKey, CKA_PRIME);
+ /* we ignore the return code an only look at the length */
+ if (subPrime.len == 0) {
+ /* subprime not supplied, In this case look it up.
+ * This only works with approved primes, but in FIPS mode
+ * that's the only kine of prime that will get here */
+ subPrimePtr = sftk_VerifyDH_Prime(&prime);
+ if (subPrimePtr == NULL) {
+ crv = CKR_GENERAL_ERROR;
+ goto done;
+ }
+ }
+ if (!KEA_Verify(&pubKey, &prime, (SECItem *)subPrimePtr)) {
+ crv = CKR_GENERAL_ERROR;
+ }
+done:
+ PORT_Free(subPrime.data);
+ PORT_Free(prime.data);
+ }
+ /* clean up before we return */
+ sftk_FreeAttribute(pubAttribute);
+ crv2 = NSC_DestroyObject(hSession, newKey);
+ if (crv != CKR_OK) {
+ return crv;
+ }
+ if (crv2 != CKR_OK) {
+ return crv2;
+ }
}
return CKR_OK;
}
/* NSC_GenerateKeyPair generates a public-key/private-key pair,
* creating new key objects. */
CK_RV
@@ -5573,17 +5661,17 @@ NSC_GenerateKeyPair(CK_SESSION_HANDLE hS
}
if (crv == CKR_OK && !sftk_isTrue(publicKey, CKA_EXTRACTABLE)) {
crv = sftk_forceAttribute(publicKey, CKA_NEVER_EXTRACTABLE,
&cktrue, sizeof(CK_BBOOL));
}
if (crv == CKR_OK) {
/* Perform FIPS 140-2 pairwise consistency check. */
- crv = sftk_PairwiseConsistencyCheck(hSession,
+ crv = sftk_PairwiseConsistencyCheck(hSession, slot,
publicKey, privateKey, key_type);
if (crv != CKR_OK) {
if (sftk_audit_enabled) {
char msg[128];
PR_snprintf(msg, sizeof msg,
"C_GenerateKeyPair(hSession=0x%08lX, "
"pMechanism->mechanism=0x%08lX)=0x%08lX "
"self-test: pair-wise consistency test failed",
@@ -8176,50 +8264,110 @@ NSC_DeriveKey(CK_SESSION_HANDLE hSession
SHA512_HashBuf(key_block, (const unsigned char *)att->attrib.pValue,
att->attrib.ulValueLen);
crv = sftk_forceAttribute(key, CKA_VALUE, key_block, keySize);
break;
case CKM_DH_PKCS_DERIVE: {
SECItem derived, dhPublic;
- SECItem dhPrime, dhSubPrime, dhValue;
+ SECItem dhPrime, dhValue;
+ const SECItem *subPrime;
/* sourceKey - values for the local existing low key */
/* get prime and value attributes */
crv = sftk_Attribute2SecItem(NULL, &dhPrime, sourceKey, CKA_PRIME);
if (crv != CKR_OK)
break;
- crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE);
- if (crv != CKR_OK) {
- PORT_Free(dhPrime.data);
- break;
- }
dhPublic.data = pMechanism->pParameter;
dhPublic.len = pMechanism->ulParameterLen;
- /* If the caller bothered to provide Q, use Q to validate
- * the public key. */
- crv = sftk_Attribute2SecItem(NULL, &dhSubPrime, sourceKey, CKA_SUBPRIME);
- if (crv == CKR_OK) {
- rv = KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime);
- PORT_Free(dhSubPrime.data);
- if (rv != SECSuccess) {
+ /* if the prime is an approved prime, we can skip all the other
+ * checks. */
+ subPrime = sftk_VerifyDH_Prime(&dhPrime);
+ if (subPrime == NULL) {
+ SECItem dhSubPrime;
+ /* In FIPS mode we only accept approved primes */
+ if (isFIPS) {
crv = CKR_ARGUMENTS_BAD;
PORT_Free(dhPrime.data);
- PORT_Free(dhValue.data);
break;
}
+ /* If the caller set the subprime value, it means that
+ * either the caller knows the subprime value and wants us
+ * to validate the key against the subprime, or that the
+ * caller wants us to verify that the prime is a safe prime
+ * by passing in subprime = (prime-1)/2 */
+ dhSubPrime.data = NULL;
+ dhSubPrime.len = 0;
+ crv = sftk_Attribute2SecItem(NULL, &dhSubPrime,
+ sourceKey, CKA_SUBPRIME);
+ /* we ignore the value of crv here, We treat a valid
+ * return of len = 0 and a failure to find a subrime the same
+ * NOTE: we free the subprime in both cases depending on
+ * PORT_Free of NULL to be a noop */
+ if (dhSubPrime.len != 0) {
+ PRBool isSafe = PR_FALSE;
+
+
+ /* Callers can set dhSubPrime to q=(p-1)/2 to force
+ * checks for safe primes. If so we only need to check
+ * q and p for primality and skip the group test. */
+ rv = sftk_IsSafePrime(&dhPrime, &dhSubPrime, &isSafe);
+ if (rv != SECSuccess) {
+ /* either p or q was even and therefore not prime,
+ * we can stop processing here and fail now */
+ crv = CKR_ARGUMENTS_BAD;
+ PORT_Free(dhPrime.data);
+ PORT_Free(dhSubPrime.data);
+ break;
+ }
+
+ /* first make sure the primes are really prime */
+ if (!KEA_PrimeCheck(&dhPrime)) {
+ crv = CKR_ARGUMENTS_BAD;
+ PORT_Free(dhPrime.data);
+ PORT_Free(dhSubPrime.data);
+ break;
+ }
+ if (!KEA_PrimeCheck(&dhSubPrime)) {
+ crv = CKR_ARGUMENTS_BAD;
+ PORT_Free(dhPrime.data);
+ PORT_Free(dhSubPrime.data);
+ break;
+ }
+ if (!isSafe) {
+ /* With safe primes, there is only one other small
+ * subgroup. As long as y isn't 0, 1, or -1 mod p,
+ * any other y is safe. Only do the full check for
+ * non-safe primes */
+ if (!KEA_Verify(&dhPublic, &dhPrime, &dhSubPrime)) {
+ crv = CKR_ARGUMENTS_BAD;
+ PORT_Free(dhPrime.data);
+ PORT_Free(dhSubPrime.data);
+ break;
+ }
+ }
+ }
+ /* checks are complete, no need for the subPrime any longer */
+ PORT_Free(dhSubPrime.data);
+ }
+
+ /* now that the prime is validated, get the private value */
+ crv = sftk_Attribute2SecItem(NULL, &dhValue, sourceKey, CKA_VALUE);
+ if (crv != CKR_OK) {
+ PORT_Free(dhPrime.data);
+ break;
}
/* calculate private value - oct */
rv = DH_Derive(&dhPublic, &dhPrime, &dhValue, &derived, keySize);
PORT_Free(dhPrime.data);
- PORT_Free(dhValue.data);
+ PORT_ZFree(dhValue.data, dhValue.len);
if (rv == SECSuccess) {
sftk_forceAttribute(key, CKA_VALUE, derived.data, derived.len);
PORT_ZFree(derived.data, derived.len);
crv = CKR_OK;
} else
crv = CKR_HOST_MEMORY;
diff --git a/lib/softoken/pkcs11i.h b/lib/softoken/pkcs11i.h
--- a/lib/softoken/pkcs11i.h
+++ b/lib/softoken/pkcs11i.h
@@ -909,11 +909,18 @@ void sftk_MAC_Destroy(sftk_MACCtx *ctx,
unsigned int sftk_CKRVToMask(CK_RV rv);
CK_RV sftk_CheckCBCPadding(CK_BYTE_PTR pBuf, unsigned int bufLen,
unsigned int blockSize, unsigned int *outPadSize);
/* NIST 800-108 (kbkdf.c) implementations */
extern CK_RV kbkdf_Dispatch(CK_MECHANISM_TYPE mech, CK_SESSION_HANDLE hSession, CK_MECHANISM_PTR pMechanism, SFTKObject *base_key, SFTKObject *ret_key, CK_ULONG keySize);
char **NSC_ModuleDBFunc(unsigned long function, char *parameters, void *args);
+/* dh verify functions */
+/* verify that dhPrime matches one of our known primes, and if so return
+ * it's subprime value */
+const SECItem *sftk_VerifyDH_Prime(SECItem *dhPrime);
+/* check if dhSubPrime claims dhPrime is a safe prime. */
+SECStatus sftk_IsSafePrime(SECItem *dhPrime, SECItem *dhSubPrime, PRBool *isSafe);
+
SEC_END_PROTOS
#endif /* _PKCS11I_H_ */
diff --git a/lib/softoken/pkcs11u.c b/lib/softoken/pkcs11u.c
--- a/lib/softoken/pkcs11u.c
+++ b/lib/softoken/pkcs11u.c
@@ -711,17 +711,16 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type,
case CKA_CLASS:
case CKA_CERTIFICATE_TYPE:
case CKA_KEY_TYPE:
case CKA_MODULUS:
case CKA_MODULUS_BITS:
case CKA_PUBLIC_EXPONENT:
case CKA_PRIVATE_EXPONENT:
case CKA_PRIME:
- case CKA_SUBPRIME:
case CKA_BASE:
case CKA_PRIME_1:
case CKA_PRIME_2:
case CKA_EXPONENT_1:
case CKA_EXPONENT_2:
case CKA_COEFFICIENT:
case CKA_VALUE_LEN:
case CKA_ALWAYS_SENSITIVE:
@@ -762,16 +761,21 @@ sftk_modifyType(CK_ATTRIBUTE_TYPE type,
mtype = SFTK_ALWAYS;
break;
/* DEPENDS ON CLASS */
case CKA_VALUE:
mtype = (inClass == CKO_DATA) ? SFTK_ALWAYS : SFTK_NEVER;
break;
+ case CKA_SUBPRIME:
+ /* allow the CKA_SUBPRIME to be added to dh private keys */
+ mtype = (inClass == CKO_PRIVATE_KEY) ? SFTK_ALWAYS : SFTK_NEVER;
+ break;
+
case CKA_SUBJECT:
mtype = (inClass == CKO_CERTIFICATE) ? SFTK_NEVER : SFTK_ALWAYS;
break;
default:
break;
}
return mtype;
}
diff --git a/lib/softoken/sftkdhverify.c b/lib/softoken/sftkdhverify.c
new file mode 100644
--- /dev/null
+++ b/lib/softoken/sftkdhverify.c
@@ -0,0 +1,1283 @@
+
+/* This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+/*
+ * This file makes sure a prime given to us matches one of the known
+ * approved primes for diffie-helman.
+ *
+ * It also checks if a prime is a safe prime for the case
+ * where we don't match an approved prime.
+ */
+#include "seccomon.h"
+#include "secitem.h"
+#include "secerr.h"
+#include "blapi.h"
+
+/* IKE 1536 prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */
+static const unsigned char prime_ike_1536[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x23, 0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* IKE 2048 prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 */
+static const unsigned char prime_ike_2048[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* TLS 2048 prime is: 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1 */
+static const unsigned char prime_tls_2048[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* IKE 3072 prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */
+static const unsigned char prime_ike_3072[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x3A, 0xD2, 0xCA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* TLS 3072 prime is: 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1 */
+static const unsigned char prime_tls_3072[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0xC6, 0x2E, 0x37, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* IKE 4096 prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */
+static const unsigned char prime_ike_4096[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* TLS 4096 prime is: 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1 */
+static const unsigned char prime_tls_4096[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A,
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* IKE 6144 prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */
+static const unsigned char prime_ike_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
+ 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
+ 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
+ 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
+ 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
+ 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
+ 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
+ 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
+ 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
+ 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
+ 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
+ 0x6D, 0xCC, 0x40, 0x24, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* TLS 6144 prime is: 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1 */
+static const unsigned char prime_tls_6144[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
+ 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
+ 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
+ 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
+ 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
+ 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
+ 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
+ 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
+ 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
+ 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
+ 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
+ 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
+ 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
+ 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
+ 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
+ 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
+ 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
+ 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
+ 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
+ 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
+ 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
+ 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
+ 0xD0, 0xE4, 0x0E, 0x65, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* IKE 8192 prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */
+static const unsigned char prime_ike_8192[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2,
+ 0x21, 0x68, 0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
+ 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6,
+ 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
+ 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, 0x30, 0x2B, 0x0A, 0x6D,
+ 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
+ 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
+ 0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
+ 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11,
+ 0x7C, 0x4B, 0x1F, 0xE6, 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
+ 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36,
+ 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
+ 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62, 0xF3, 0x56,
+ 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
+ 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08,
+ 0xCA, 0x18, 0x21, 0x7C, 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
+ 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, 0x9B, 0x27, 0x83, 0xA2,
+ 0xEC, 0x07, 0xA2, 0x8F, 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
+ 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7C,
+ 0xEA, 0x95, 0x6A, 0xE5, 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
+ 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, 0xAD, 0x33, 0x17, 0x0D,
+ 0x04, 0x50, 0x7A, 0x33, 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
+ 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, 0x8A, 0xEA, 0x71, 0x57,
+ 0x5D, 0x06, 0x0C, 0x7D, 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
+ 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, 0x1E, 0x8C, 0x94, 0xE0,
+ 0x4A, 0x25, 0x61, 0x9D, 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
+ 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, 0xD8, 0x76, 0x02, 0x73,
+ 0x3E, 0xC8, 0x6A, 0x64, 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
+ 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, 0x77, 0x09, 0x88, 0xC0,
+ 0xBA, 0xD9, 0x46, 0xE2, 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
+ 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, 0x4B, 0x82, 0xD1, 0x20,
+ 0xA9, 0x21, 0x08, 0x01, 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
+ 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, 0x99, 0xC3, 0x27, 0x18,
+ 0x6A, 0xF4, 0xE2, 0x3C, 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
+ 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, 0xDB, 0xBB, 0xC2, 0xDB,
+ 0x04, 0xDE, 0x8E, 0xF9, 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
+ 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, 0x99, 0xB2, 0x96, 0x4F,
+ 0xA0, 0x90, 0xC3, 0xA2, 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
+ 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, 0xB8, 0x1B, 0xDD, 0x76,
+ 0x21, 0x70, 0x48, 0x1C, 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
+ 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, 0x86, 0xFF, 0xB7, 0xDC,
+ 0x90, 0xA6, 0xC0, 0x8F, 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
+ 0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26, 0xC1, 0xD4, 0xDC, 0xB2,
+ 0x60, 0x26, 0x46, 0xDE, 0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
+ 0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E, 0xE5, 0xDB, 0x38, 0x2F,
+ 0x41, 0x30, 0x01, 0xAE, 0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
+ 0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18, 0xDA, 0x3E, 0xDB, 0xEB,
+ 0xCF, 0x9B, 0x14, 0xED, 0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
+ 0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B, 0x33, 0x20, 0x51, 0x51,
+ 0x2B, 0xD7, 0xAF, 0x42, 0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
+ 0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC, 0xF0, 0x32, 0xEA, 0x15,
+ 0xD1, 0x72, 0x1D, 0x03, 0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
+ 0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82, 0xB5, 0xA8, 0x40, 0x31,
+ 0x90, 0x0B, 0x1C, 0x9E, 0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
+ 0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE, 0x0F, 0x1D, 0x45, 0xB7,
+ 0xFF, 0x58, 0x5A, 0xC5, 0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
+ 0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8, 0x14, 0xCC, 0x5E, 0xD2,
+ 0x0F, 0x80, 0x37, 0xE0, 0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
+ 0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76, 0xF5, 0x50, 0xAA, 0x3D,
+ 0x8A, 0x1F, 0xBF, 0xF0, 0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
+ 0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32, 0x38, 0x7F, 0xE8, 0xD7,
+ 0x6E, 0x3C, 0x04, 0x68, 0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
+ 0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6, 0xE6, 0x94, 0xF9, 0x1E,
+ 0x6D, 0xBE, 0x11, 0x59, 0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
+ 0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C, 0xD8, 0xBE, 0xC4, 0xD0,
+ 0x73, 0xB9, 0x31, 0xBA, 0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
+ 0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED, 0x25, 0x76, 0xF6, 0x93,
+ 0x6B, 0xA4, 0x24, 0x66, 0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
+ 0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78, 0x23, 0x8F, 0x16, 0xCB,
+ 0xE3, 0x9D, 0x65, 0x2D, 0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
+ 0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07, 0x13, 0xEB, 0x57, 0xA8,
+ 0x1A, 0x23, 0xF0, 0xC7, 0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
+ 0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD, 0xFA, 0x9D, 0x4B, 0x7F,
+ 0xA2, 0xC0, 0x87, 0xE8, 0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
+ 0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6, 0x6D, 0x2A, 0x13, 0xF8,
+ 0x3F, 0x44, 0xF8, 0x2D, 0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
+ 0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1, 0x64, 0xF3, 0x1C, 0xC5,
+ 0x08, 0x46, 0x85, 0x1D, 0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
+ 0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73, 0xFA, 0xF3, 0x6B, 0xC3,
+ 0x1E, 0xCF, 0xA2, 0x68, 0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
+ 0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7, 0x88, 0x9A, 0x00, 0x2E,
+ 0xD5, 0xEE, 0x38, 0x2B, 0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
+ 0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA, 0x9E, 0x30, 0x50, 0xE2,
+ 0x76, 0x56, 0x94, 0xDF, 0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
+ 0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* TLS 8192 prime is: 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1 */
+static const unsigned char prime_tls_8192[] = {
+ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xAD, 0xF8, 0x54, 0x58,
+ 0xA2, 0xBB, 0x4A, 0x9A, 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1,
+ 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, 0xA9, 0xE1, 0x36, 0x41,
+ 0x14, 0x64, 0x33, 0xFB, 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9,
+ 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, 0xF6, 0x81, 0xB2, 0x02,
+ 0xAE, 0xC4, 0x61, 0x7A, 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61,
+ 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, 0x85, 0x63, 0x65, 0x55,
+ 0x3D, 0xED, 0x1A, 0xF3, 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35,
+ 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, 0xE2, 0xA6, 0x89, 0xDA,
+ 0xF3, 0xEF, 0xE8, 0x72, 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35,
+ 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, 0xBC, 0x0A, 0xB1, 0x82,
+ 0xB3, 0x24, 0xFB, 0x61, 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB,
+ 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, 0x1D, 0x4F, 0x42, 0xA3,
+ 0xDE, 0x39, 0x4D, 0xF4, 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19,
+ 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, 0x9E, 0x02, 0xFC, 0xE1,
+ 0xCD, 0xF7, 0xE2, 0xEC, 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61,
+ 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, 0x8E, 0x4F, 0x12, 0x32,
+ 0xEE, 0xF2, 0x81, 0x83, 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73,
+ 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, 0xC5, 0x8E, 0xF1, 0x83,
+ 0x7D, 0x16, 0x83, 0xB2, 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA,
+ 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, 0xDE, 0x35, 0x5B, 0x3B,
+ 0x65, 0x19, 0x03, 0x5B, 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38,
+ 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, 0x7A, 0xD9, 0x1D, 0x26,
+ 0x91, 0xF7, 0xF7, 0xEE, 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C,
+ 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, 0xB4, 0x13, 0x0C, 0x93,
+ 0xBC, 0x43, 0x79, 0x44, 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3,
+ 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, 0x5C, 0xAE, 0x82, 0xAB,
+ 0x9C, 0x9D, 0xF6, 0x9E, 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D,
+ 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, 0x1D, 0xBF, 0x9A, 0x42,
+ 0xD5, 0xC4, 0x48, 0x4E, 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF,
+ 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, 0x25, 0xE4, 0x1D, 0x2B,
+ 0x66, 0x9E, 0x1E, 0xF1, 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB,
+ 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, 0xAC, 0x7D, 0x5F, 0x42,
+ 0xD6, 0x9F, 0x6D, 0x18, 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04,
+ 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, 0x71, 0x35, 0xC8, 0x86,
+ 0xEF, 0xB4, 0x31, 0x8A, 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32,
+ 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, 0x6D, 0xC7, 0x78, 0xF9,
+ 0x71, 0xAD, 0x00, 0x38, 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A,
+ 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, 0x2A, 0x4E, 0xCE, 0xA9,
+ 0xF9, 0x8D, 0x0A, 0xCC, 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF,
+ 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, 0x4D, 0xB5, 0xA8, 0x51,
+ 0xF4, 0x41, 0x82, 0xE1, 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02,
+ 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, 0x4E, 0x67, 0x7D, 0x2C,
+ 0x38, 0x53, 0x2A, 0x3A, 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6,
+ 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, 0x91, 0x7B, 0xDD, 0x64,
+ 0xB1, 0xC0, 0xFD, 0x4C, 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A,
+ 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, 0x9B, 0x1F, 0x5C, 0x3E,
+ 0x4E, 0x46, 0x04, 0x1F, 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77,
+ 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, 0xB8, 0x55, 0x32, 0x2E,
+ 0xDB, 0x63, 0x40, 0xD8, 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3,
+ 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, 0x7F, 0xB2, 0x9F, 0x8C,
+ 0x18, 0x30, 0x23, 0xC3, 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4,
+ 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, 0x94, 0xC6, 0x65, 0x1E,
+ 0x77, 0xCA, 0xF9, 0x92, 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6,
+ 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, 0x0A, 0xE8, 0xDB, 0x58,
+ 0x47, 0xA6, 0x7C, 0xBE, 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C,
+ 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, 0x62, 0x29, 0x2C, 0x31,
+ 0x15, 0x62, 0xA8, 0x46, 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A,
+ 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, 0x8C, 0xCF, 0x2D, 0xD5,
+ 0xCA, 0xCE, 0xF4, 0x03, 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04,
+ 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, 0x3F, 0xDD, 0x4A, 0x8E,
+ 0x9A, 0xDB, 0x1E, 0x69, 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1,
+ 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, 0xA4, 0x0E, 0x32, 0x9C,
+ 0xCF, 0xF4, 0x6A, 0xAA, 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38,
+ 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, 0xFD, 0xB2, 0x3F, 0xCE,
+ 0xC9, 0x50, 0x9D, 0x43, 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E,
+ 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, 0x86, 0xB6, 0x31, 0x42,
+ 0xA3, 0xAB, 0x88, 0x29, 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65,
+ 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, 0x29, 0x38, 0x88, 0x39,
+ 0xD2, 0xAF, 0x05, 0xE4, 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82,
+ 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, 0x59, 0x16, 0x0C, 0xC0,
+ 0x46, 0xFD, 0x82, 0x51, 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22,
+ 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, 0x51, 0xA8, 0xA9, 0x31,
+ 0x09, 0x70, 0x3F, 0xEE, 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C,
+ 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, 0x99, 0xE9, 0xE3, 0x16,
+ 0x50, 0xC1, 0x21, 0x7B, 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9,
+ 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, 0xA1, 0xFE, 0x30, 0x75,
+ 0xA5, 0x77, 0xE2, 0x31, 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57,
+ 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, 0xB6, 0x85, 0x5D, 0xFE,
+ 0x72, 0xB0, 0xA6, 0x6E, 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30,
+ 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, 0x2F, 0x74, 0x1E, 0xF8,
+ 0xC1, 0xFE, 0x86, 0xFE, 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D,
+ 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, 0x08, 0x22, 0xE5, 0x06,
+ 0xA9, 0xF4, 0x61, 0x4E, 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C,
+ 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, 0xFF, 0xFF, 0xFF, 0xFF,
+ 0xFF, 0xFF, 0xFF, 0xFF
+};
+
+/* q=(p-1)/2 for prime prime_ike_1536 */
+static const unsigned char subprime_ike_1536_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x11, 0xb9, 0x93, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_2048 */
+static const unsigned char subprime_ike_2048_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x56, 0x55, 0x34, 0x7f, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_2048 */
+static const unsigned char subprime_tls_2048_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x94, 0x2e, 0x4b, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_3072 */
+static const unsigned char subprime_ike_3072_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x9d, 0x69, 0x65, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_3072 */
+static const unsigned char subprime_tls_3072_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x63, 0x17, 0x1b, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_4096 */
+static const unsigned char subprime_ike_4096_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x03, 0x18, 0xcc,
+ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_4096 */
+static const unsigned char subprime_tls_4096_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x32, 0xaf, 0xb5,
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_6144 */
+static const unsigned char subprime_ike_6144_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49,
+ 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59,
+ 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde,
+ 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17,
+ 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18,
+ 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5,
+ 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d,
+ 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8,
+ 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f,
+ 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a,
+ 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b,
+ 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18,
+ 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79,
+ 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb,
+ 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55,
+ 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69,
+ 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94,
+ 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e,
+ 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae,
+ 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b,
+ 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77,
+ 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f,
+ 0x36, 0xe6, 0x20, 0x12, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_6144 */
+static const unsigned char subprime_tls_6144_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81,
+ 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96,
+ 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53,
+ 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2,
+ 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d,
+ 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f,
+ 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b,
+ 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17,
+ 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1,
+ 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6,
+ 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda,
+ 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f,
+ 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb,
+ 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac,
+ 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6,
+ 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18,
+ 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5,
+ 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea,
+ 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82,
+ 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47,
+ 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0,
+ 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e,
+ 0x68, 0x72, 0x07, 0x32, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_ike_8192 */
+static const unsigned char subprime_ike_8192_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xe4, 0x87, 0xed, 0x51,
+ 0x10, 0xb4, 0x61, 0x1a, 0x62, 0x63, 0x31, 0x45, 0xc0, 0x6e, 0x0e, 0x68,
+ 0x94, 0x81, 0x27, 0x04, 0x45, 0x33, 0xe6, 0x3a, 0x01, 0x05, 0xdf, 0x53,
+ 0x1d, 0x89, 0xcd, 0x91, 0x28, 0xa5, 0x04, 0x3c, 0xc7, 0x1a, 0x02, 0x6e,
+ 0xf7, 0xca, 0x8c, 0xd9, 0xe6, 0x9d, 0x21, 0x8d, 0x98, 0x15, 0x85, 0x36,
+ 0xf9, 0x2f, 0x8a, 0x1b, 0xa7, 0xf0, 0x9a, 0xb6, 0xb6, 0xa8, 0xe1, 0x22,
+ 0xf2, 0x42, 0xda, 0xbb, 0x31, 0x2f, 0x3f, 0x63, 0x7a, 0x26, 0x21, 0x74,
+ 0xd3, 0x1b, 0xf6, 0xb5, 0x85, 0xff, 0xae, 0x5b, 0x7a, 0x03, 0x5b, 0xf6,
+ 0xf7, 0x1c, 0x35, 0xfd, 0xad, 0x44, 0xcf, 0xd2, 0xd7, 0x4f, 0x92, 0x08,
+ 0xbe, 0x25, 0x8f, 0xf3, 0x24, 0x94, 0x33, 0x28, 0xf6, 0x72, 0x2d, 0x9e,
+ 0xe1, 0x00, 0x3e, 0x5c, 0x50, 0xb1, 0xdf, 0x82, 0xcc, 0x6d, 0x24, 0x1b,
+ 0x0e, 0x2a, 0xe9, 0xcd, 0x34, 0x8b, 0x1f, 0xd4, 0x7e, 0x92, 0x67, 0xaf,
+ 0xc1, 0xb2, 0xae, 0x91, 0xee, 0x51, 0xd6, 0xcb, 0x0e, 0x31, 0x79, 0xab,
+ 0x10, 0x42, 0xa9, 0x5d, 0xcf, 0x6a, 0x94, 0x83, 0xb8, 0x4b, 0x4b, 0x36,
+ 0xb3, 0x86, 0x1a, 0xa7, 0x25, 0x5e, 0x4c, 0x02, 0x78, 0xba, 0x36, 0x04,
+ 0x65, 0x0c, 0x10, 0xbe, 0x19, 0x48, 0x2f, 0x23, 0x17, 0x1b, 0x67, 0x1d,
+ 0xf1, 0xcf, 0x3b, 0x96, 0x0c, 0x07, 0x43, 0x01, 0xcd, 0x93, 0xc1, 0xd1,
+ 0x76, 0x03, 0xd1, 0x47, 0xda, 0xe2, 0xae, 0xf8, 0x37, 0xa6, 0x29, 0x64,
+ 0xef, 0x15, 0xe5, 0xfb, 0x4a, 0xac, 0x0b, 0x8c, 0x1c, 0xca, 0xa4, 0xbe,
+ 0x75, 0x4a, 0xb5, 0x72, 0x8a, 0xe9, 0x13, 0x0c, 0x4c, 0x7d, 0x02, 0x88,
+ 0x0a, 0xb9, 0x47, 0x2d, 0x45, 0x55, 0x62, 0x16, 0xd6, 0x99, 0x8b, 0x86,
+ 0x82, 0x28, 0x3d, 0x19, 0xd4, 0x2a, 0x90, 0xd5, 0xef, 0x8e, 0x5d, 0x32,
+ 0x76, 0x7d, 0xc2, 0x82, 0x2c, 0x6d, 0xf7, 0x85, 0x45, 0x75, 0x38, 0xab,
+ 0xae, 0x83, 0x06, 0x3e, 0xd9, 0xcb, 0x87, 0xc2, 0xd3, 0x70, 0xf2, 0x63,
+ 0xd5, 0xfa, 0xd7, 0x46, 0x6d, 0x84, 0x99, 0xeb, 0x8f, 0x46, 0x4a, 0x70,
+ 0x25, 0x12, 0xb0, 0xce, 0xe7, 0x71, 0xe9, 0x13, 0x0d, 0x69, 0x77, 0x35,
+ 0xf8, 0x97, 0xfd, 0x03, 0x6c, 0xc5, 0x04, 0x32, 0x6c, 0x3b, 0x01, 0x39,
+ 0x9f, 0x64, 0x35, 0x32, 0x29, 0x0f, 0x95, 0x8c, 0x0b, 0xbd, 0x90, 0x06,
+ 0x5d, 0xf0, 0x8b, 0xab, 0xbd, 0x30, 0xae, 0xb6, 0x3b, 0x84, 0xc4, 0x60,
+ 0x5d, 0x6c, 0xa3, 0x71, 0x04, 0x71, 0x27, 0xd0, 0x3a, 0x72, 0xd5, 0x98,
+ 0xa1, 0xed, 0xad, 0xfe, 0x70, 0x7e, 0x88, 0x47, 0x25, 0xc1, 0x68, 0x90,
+ 0x54, 0x90, 0x84, 0x00, 0x8d, 0x39, 0x1e, 0x09, 0x53, 0xc3, 0xf3, 0x6b,
+ 0xc4, 0x38, 0xcd, 0x08, 0x5e, 0xdd, 0x2d, 0x93, 0x4c, 0xe1, 0x93, 0x8c,
+ 0x35, 0x7a, 0x71, 0x1e, 0x0d, 0x4a, 0x34, 0x1a, 0x5b, 0x0a, 0x85, 0xed,
+ 0x12, 0xc1, 0xf4, 0xe5, 0x15, 0x6a, 0x26, 0x74, 0x6d, 0xdd, 0xe1, 0x6d,
+ 0x82, 0x6f, 0x47, 0x7c, 0x97, 0x47, 0x7e, 0x0a, 0x0f, 0xdf, 0x65, 0x53,
+ 0x14, 0x3e, 0x2c, 0xa3, 0xa7, 0x35, 0xe0, 0x2e, 0xcc, 0xd9, 0x4b, 0x27,
+ 0xd0, 0x48, 0x61, 0xd1, 0x11, 0x9d, 0xd0, 0xc3, 0x28, 0xad, 0xf3, 0xf6,
+ 0x8f, 0xb0, 0x94, 0xb8, 0x67, 0x71, 0x6b, 0xd7, 0xdc, 0x0d, 0xee, 0xbb,
+ 0x10, 0xb8, 0x24, 0x0e, 0x68, 0x03, 0x48, 0x93, 0xea, 0xd8, 0x2d, 0x54,
+ 0xc9, 0xda, 0x75, 0x4c, 0x46, 0xc7, 0xee, 0xe0, 0xc3, 0x7f, 0xdb, 0xee,
+ 0x48, 0x53, 0x60, 0x47, 0xa6, 0xfa, 0x1a, 0xe4, 0x9a, 0x01, 0x42, 0x49,
+ 0x1b, 0x61, 0xfd, 0x5a, 0x69, 0x3e, 0x38, 0x13, 0x60, 0xea, 0x6e, 0x59,
+ 0x30, 0x13, 0x23, 0x6f, 0x64, 0xba, 0x8f, 0x3b, 0x1e, 0xdd, 0x1b, 0xde,
+ 0xfc, 0x7f, 0xca, 0x03, 0x56, 0xcf, 0x29, 0x87, 0x72, 0xed, 0x9c, 0x17,
+ 0xa0, 0x98, 0x00, 0xd7, 0x58, 0x35, 0x29, 0xf6, 0xc8, 0x13, 0xec, 0x18,
+ 0x8b, 0xcb, 0x93, 0xd8, 0x43, 0x2d, 0x44, 0x8c, 0x6d, 0x1f, 0x6d, 0xf5,
+ 0xe7, 0xcd, 0x8a, 0x76, 0xa2, 0x67, 0x36, 0x5d, 0x67, 0x6a, 0x5d, 0x8d,
+ 0xed, 0xbf, 0x8a, 0x23, 0xf3, 0x66, 0x12, 0xa5, 0x99, 0x90, 0x28, 0xa8,
+ 0x95, 0xeb, 0xd7, 0xa1, 0x37, 0xdc, 0x7a, 0x00, 0x9b, 0xc6, 0x69, 0x5f,
+ 0xac, 0xc1, 0xe5, 0x00, 0xe3, 0x25, 0xc9, 0x76, 0x78, 0x19, 0x75, 0x0a,
+ 0xe8, 0xb9, 0x0e, 0x81, 0xfa, 0x41, 0x6b, 0xe7, 0x37, 0x3a, 0x7f, 0x7b,
+ 0x6a, 0xaf, 0x38, 0x17, 0xa3, 0x4c, 0x06, 0x41, 0x5a, 0xd4, 0x20, 0x18,
+ 0xc8, 0x05, 0x8e, 0x4f, 0x2c, 0xf3, 0xe4, 0xbf, 0xdf, 0x63, 0xf4, 0x79,
+ 0x91, 0xd4, 0xbd, 0x3f, 0x1b, 0x66, 0x44, 0x5f, 0x07, 0x8e, 0xa2, 0xdb,
+ 0xff, 0xac, 0x2d, 0x62, 0xa5, 0xea, 0x03, 0xd9, 0x15, 0xa0, 0xaa, 0x55,
+ 0x66, 0x47, 0xb6, 0xbf, 0x5f, 0xa4, 0x70, 0xec, 0x0a, 0x66, 0x2f, 0x69,
+ 0x07, 0xc0, 0x1b, 0xf0, 0x53, 0xcb, 0x8a, 0xf7, 0x79, 0x4d, 0xf1, 0x94,
+ 0x03, 0x50, 0xea, 0xc5, 0xdb, 0xe2, 0xed, 0x3b, 0x7a, 0xa8, 0x55, 0x1e,
+ 0xc5, 0x0f, 0xdf, 0xf8, 0x75, 0x8c, 0xe6, 0x58, 0xd1, 0x89, 0xea, 0xae,
+ 0x6d, 0x2b, 0x64, 0xf6, 0x17, 0x79, 0x4b, 0x19, 0x1c, 0x3f, 0xf4, 0x6b,
+ 0xb7, 0x1e, 0x02, 0x34, 0x02, 0x1f, 0x47, 0xb3, 0x1f, 0xa4, 0x30, 0x77,
+ 0x09, 0x5f, 0x96, 0xad, 0x85, 0xba, 0x3a, 0x6b, 0x73, 0x4a, 0x7c, 0x8f,
+ 0x36, 0xdf, 0x08, 0xac, 0xba, 0x51, 0xc9, 0x37, 0x89, 0x7f, 0x72, 0xf2,
+ 0x1c, 0x3b, 0xbe, 0x5b, 0x54, 0x99, 0x6f, 0xc6, 0x6c, 0x5f, 0x62, 0x68,
+ 0x39, 0xdc, 0x98, 0xdd, 0x1d, 0xe4, 0x19, 0x5b, 0x46, 0xce, 0xe9, 0x80,
+ 0x3a, 0x0f, 0xd3, 0xdf, 0xc5, 0x7e, 0x23, 0xf6, 0x92, 0xbb, 0x7b, 0x49,
+ 0xb5, 0xd2, 0x12, 0x33, 0x1d, 0x55, 0xb1, 0xce, 0x2d, 0x72, 0x7a, 0xb4,
+ 0x1a, 0x11, 0xda, 0x3a, 0x15, 0xf8, 0xe4, 0xbc, 0x11, 0xc7, 0x8b, 0x65,
+ 0xf1, 0xce, 0xb2, 0x96, 0xf1, 0xfe, 0xdc, 0x5f, 0x7e, 0x42, 0x45, 0x6c,
+ 0x91, 0x11, 0x17, 0x02, 0x52, 0x01, 0xbe, 0x03, 0x89, 0xf5, 0xab, 0xd4,
+ 0x0d, 0x11, 0xf8, 0x63, 0x9a, 0x39, 0xfe, 0x32, 0x36, 0x75, 0x18, 0x35,
+ 0xa5, 0xe5, 0xe4, 0x43, 0x17, 0xc1, 0xc2, 0xee, 0xfd, 0x4e, 0xa5, 0xbf,
+ 0xd1, 0x60, 0x43, 0xf4, 0x3c, 0xb4, 0x19, 0x81, 0xf6, 0xad, 0xee, 0x9d,
+ 0x03, 0x15, 0x9e, 0x7a, 0xd9, 0xd1, 0x3c, 0x53, 0x36, 0x95, 0x09, 0xfc,
+ 0x1f, 0xa2, 0x7c, 0x16, 0xef, 0x98, 0x87, 0x70, 0x3a, 0x55, 0xb5, 0x1b,
+ 0x22, 0xcb, 0xf4, 0x4c, 0xd0, 0x12, 0xae, 0xe0, 0xb2, 0x79, 0x8e, 0x62,
+ 0x84, 0x23, 0x42, 0x8e, 0xfc, 0xd5, 0xa4, 0x0c, 0xae, 0xf6, 0xbf, 0x50,
+ 0xd8, 0xea, 0x88, 0x5e, 0xbf, 0x73, 0xa6, 0xb9, 0xfd, 0x79, 0xb5, 0xe1,
+ 0x8f, 0x67, 0xd1, 0x34, 0x1a, 0xc8, 0x23, 0x7a, 0x75, 0xc3, 0xcf, 0xc9,
+ 0x20, 0x04, 0xa1, 0xc5, 0xa4, 0x0e, 0x36, 0x6b, 0xc4, 0x4d, 0x00, 0x17,
+ 0x6a, 0xf7, 0x1c, 0x15, 0xe4, 0x8c, 0x86, 0xd3, 0x7e, 0x01, 0x37, 0x23,
+ 0xca, 0xac, 0x72, 0x23, 0xab, 0x3b, 0xf4, 0xd5, 0x4f, 0x18, 0x28, 0x71,
+ 0x3b, 0x2b, 0x4a, 0x6f, 0xe4, 0x0f, 0xab, 0x74, 0x40, 0x5c, 0xb7, 0x38,
+ 0xb0, 0x64, 0xc0, 0x6e, 0xcc, 0x76, 0xe9, 0xef, 0xff, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+/* q=(p-1)/2 for prime prime_tls_8192 */
+static const unsigned char subprime_tls_8192_data[] = {
+ 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xd6, 0xfc, 0x2a, 0x2c,
+ 0x51, 0x5d, 0xa5, 0x4d, 0x57, 0xee, 0x2b, 0x10, 0x13, 0x9e, 0x9e, 0x78,
+ 0xec, 0x5c, 0xe2, 0xc1, 0xe7, 0x16, 0x9b, 0x4a, 0xd4, 0xf0, 0x9b, 0x20,
+ 0x8a, 0x32, 0x19, 0xfd, 0xe6, 0x49, 0xce, 0xe7, 0x12, 0x4d, 0x9f, 0x7c,
+ 0xbe, 0x97, 0xf1, 0xb1, 0xb1, 0x86, 0x3a, 0xec, 0x7b, 0x40, 0xd9, 0x01,
+ 0x57, 0x62, 0x30, 0xbd, 0x69, 0xef, 0x8f, 0x6a, 0xea, 0xfe, 0xb2, 0xb0,
+ 0x92, 0x19, 0xfa, 0x8f, 0xaf, 0x83, 0x37, 0x68, 0x42, 0xb1, 0xb2, 0xaa,
+ 0x9e, 0xf6, 0x8d, 0x79, 0xda, 0xab, 0x89, 0xaf, 0x3f, 0xab, 0xe4, 0x9a,
+ 0xcc, 0x27, 0x86, 0x38, 0x70, 0x73, 0x45, 0xbb, 0xf1, 0x53, 0x44, 0xed,
+ 0x79, 0xf7, 0xf4, 0x39, 0x0e, 0xf8, 0xac, 0x50, 0x9b, 0x56, 0xf3, 0x9a,
+ 0x98, 0x56, 0x65, 0x27, 0xa4, 0x1d, 0x3c, 0xbd, 0x5e, 0x05, 0x58, 0xc1,
+ 0x59, 0x92, 0x7d, 0xb0, 0xe8, 0x84, 0x54, 0xa5, 0xd9, 0x64, 0x71, 0xfd,
+ 0xdc, 0xb5, 0x6d, 0x5b, 0xb0, 0x6b, 0xfa, 0x34, 0x0e, 0xa7, 0xa1, 0x51,
+ 0xef, 0x1c, 0xa6, 0xfa, 0x57, 0x2b, 0x76, 0xf3, 0xb1, 0xb9, 0x5d, 0x8c,
+ 0x85, 0x83, 0xd3, 0xe4, 0x77, 0x05, 0x36, 0xb8, 0x4f, 0x01, 0x7e, 0x70,
+ 0xe6, 0xfb, 0xf1, 0x76, 0x60, 0x1a, 0x02, 0x66, 0x94, 0x1a, 0x17, 0xb0,
+ 0xc8, 0xb9, 0x7f, 0x4e, 0x74, 0xc2, 0xc1, 0xff, 0xc7, 0x27, 0x89, 0x19,
+ 0x77, 0x79, 0x40, 0xc1, 0xe1, 0xff, 0x1d, 0x8d, 0xa6, 0x37, 0xd6, 0xb9,
+ 0x9d, 0xda, 0xfe, 0x5e, 0x17, 0x61, 0x10, 0x02, 0xe2, 0xc7, 0x78, 0xc1,
+ 0xbe, 0x8b, 0x41, 0xd9, 0x63, 0x79, 0xa5, 0x13, 0x60, 0xd9, 0x77, 0xfd,
+ 0x44, 0x35, 0xa1, 0x1c, 0x30, 0x8f, 0xe7, 0xee, 0x6f, 0x1a, 0xad, 0x9d,
+ 0xb2, 0x8c, 0x81, 0xad, 0xde, 0x1a, 0x7a, 0x6f, 0x7c, 0xce, 0x01, 0x1c,
+ 0x30, 0xda, 0x37, 0xe4, 0xeb, 0x73, 0x64, 0x83, 0xbd, 0x6c, 0x8e, 0x93,
+ 0x48, 0xfb, 0xfb, 0xf7, 0x2c, 0xc6, 0x58, 0x7d, 0x60, 0xc3, 0x6c, 0x8e,
+ 0x57, 0x7f, 0x09, 0x84, 0xc2, 0x89, 0xc9, 0x38, 0x5a, 0x09, 0x86, 0x49,
+ 0xde, 0x21, 0xbc, 0xa2, 0x7a, 0x7e, 0xa2, 0x29, 0x71, 0x6b, 0xa6, 0xe9,
+ 0xb2, 0x79, 0x71, 0x0f, 0x38, 0xfa, 0xa5, 0xff, 0xae, 0x57, 0x41, 0x55,
+ 0xce, 0x4e, 0xfb, 0x4f, 0x74, 0x36, 0x95, 0xe2, 0x91, 0x1b, 0x1d, 0x06,
+ 0xd5, 0xe2, 0x90, 0xcb, 0xcd, 0x86, 0xf5, 0x6d, 0x0e, 0xdf, 0xcd, 0x21,
+ 0x6a, 0xe2, 0x24, 0x27, 0x05, 0x5e, 0x68, 0x35, 0xfd, 0x29, 0xee, 0xf7,
+ 0x9e, 0x0d, 0x90, 0x77, 0x1f, 0xea, 0xce, 0xbe, 0x12, 0xf2, 0x0e, 0x95,
+ 0xb3, 0x4f, 0x0f, 0x78, 0xb7, 0x37, 0xa9, 0x61, 0x8b, 0x26, 0xfa, 0x7d,
+ 0xbc, 0x98, 0x74, 0xf2, 0x72, 0xc4, 0x2b, 0xdb, 0x56, 0x3e, 0xaf, 0xa1,
+ 0x6b, 0x4f, 0xb6, 0x8c, 0x3b, 0xb1, 0xe7, 0x8e, 0xaa, 0x81, 0xa0, 0x02,
+ 0x43, 0xfa, 0xad, 0xd2, 0xbf, 0x18, 0xe6, 0x3d, 0x38, 0x9a, 0xe4, 0x43,
+ 0x77, 0xda, 0x18, 0xc5, 0x76, 0xb5, 0x0f, 0x00, 0x96, 0xcf, 0x34, 0x19,
+ 0x54, 0x83, 0xb0, 0x05, 0x48, 0xc0, 0x98, 0x62, 0x36, 0xe3, 0xbc, 0x7c,
+ 0xb8, 0xd6, 0x80, 0x1c, 0x04, 0x94, 0xcc, 0xd1, 0x99, 0xe5, 0xc5, 0xbd,
+ 0x0d, 0x0e, 0xdc, 0x9e, 0xb8, 0xa0, 0x00, 0x1e, 0x15, 0x27, 0x67, 0x54,
+ 0xfc, 0xc6, 0x85, 0x66, 0x05, 0x41, 0x48, 0xe6, 0xe7, 0x64, 0xbe, 0xe7,
+ 0xc7, 0x64, 0xda, 0xad, 0x3f, 0xc4, 0x52, 0x35, 0xa6, 0xda, 0xd4, 0x28,
+ 0xfa, 0x20, 0xc1, 0x70, 0xe3, 0x45, 0x00, 0x3f, 0x2f, 0x06, 0xec, 0x81,
+ 0x05, 0xfe, 0xb2, 0x5b, 0x22, 0x81, 0xb6, 0x3d, 0x27, 0x33, 0xbe, 0x96,
+ 0x1c, 0x29, 0x95, 0x1d, 0x11, 0xdd, 0x22, 0x21, 0x65, 0x7a, 0x9f, 0x53,
+ 0x1d, 0xda, 0x2a, 0x19, 0x4d, 0xbb, 0x12, 0x64, 0x48, 0xbd, 0xee, 0xb2,
+ 0x58, 0xe0, 0x7e, 0xa6, 0x59, 0xc7, 0x46, 0x19, 0xa6, 0x38, 0x0e, 0x1d,
+ 0x66, 0xd6, 0x83, 0x2b, 0xfe, 0x67, 0xf6, 0x38, 0xcd, 0x8f, 0xae, 0x1f,
+ 0x27, 0x23, 0x02, 0x0f, 0x9c, 0x40, 0xa3, 0xfd, 0xa6, 0x7e, 0xda, 0x3b,
+ 0xd2, 0x92, 0x38, 0xfb, 0xd4, 0xd4, 0xb4, 0x88, 0x5c, 0x2a, 0x99, 0x17,
+ 0x6d, 0xb1, 0xa0, 0x6c, 0x50, 0x07, 0x78, 0x49, 0x1a, 0x82, 0x88, 0xf1,
+ 0x85, 0x5f, 0x60, 0xff, 0xfc, 0xf1, 0xd1, 0x37, 0x3f, 0xd9, 0x4f, 0xc6,
+ 0x0c, 0x18, 0x11, 0xe1, 0xac, 0x3f, 0x1c, 0x6d, 0x00, 0x3b, 0xec, 0xda,
+ 0x3b, 0x1f, 0x27, 0x25, 0xca, 0x59, 0x5d, 0xe0, 0xca, 0x63, 0x32, 0x8f,
+ 0x3b, 0xe5, 0x7c, 0xc9, 0x77, 0x55, 0x60, 0x11, 0x95, 0x14, 0x0d, 0xfb,
+ 0x59, 0xd3, 0x9c, 0xe0, 0x91, 0x30, 0x8b, 0x41, 0x05, 0x74, 0x6d, 0xac,
+ 0x23, 0xd3, 0x3e, 0x5f, 0x7c, 0xe4, 0x84, 0x8d, 0xa3, 0x16, 0xa9, 0xc6,
+ 0x6b, 0x95, 0x81, 0xba, 0x35, 0x73, 0xbf, 0xaf, 0x31, 0x14, 0x96, 0x18,
+ 0x8a, 0xb1, 0x54, 0x23, 0x28, 0x2e, 0xe4, 0x16, 0xdc, 0x2a, 0x19, 0xc5,
+ 0x72, 0x4f, 0xa9, 0x1a, 0xe4, 0xad, 0xc8, 0x8b, 0xc6, 0x67, 0x96, 0xea,
+ 0xe5, 0x67, 0x7a, 0x01, 0xf6, 0x4e, 0x8c, 0x08, 0x63, 0x13, 0x95, 0x82,
+ 0x2d, 0x9d, 0xb8, 0xfc, 0xee, 0x35, 0xc0, 0x6b, 0x1f, 0xee, 0xa5, 0x47,
+ 0x4d, 0x6d, 0x8f, 0x34, 0xb1, 0x53, 0x4a, 0x93, 0x6a, 0x18, 0xb0, 0xe0,
+ 0xd2, 0x0e, 0xab, 0x86, 0xbc, 0x9c, 0x6d, 0x6a, 0x52, 0x07, 0x19, 0x4e,
+ 0x67, 0xfa, 0x35, 0x55, 0x1b, 0x56, 0x80, 0x26, 0x7b, 0x00, 0x64, 0x1c,
+ 0x0f, 0x21, 0x2d, 0x18, 0xec, 0xa8, 0xd7, 0x32, 0x7e, 0xd9, 0x1f, 0xe7,
+ 0x64, 0xa8, 0x4e, 0xa1, 0xb4, 0x3f, 0xf5, 0xb4, 0xf6, 0xe8, 0xe6, 0x2f,
+ 0x05, 0xc6, 0x61, 0xde, 0xfb, 0x25, 0x88, 0x77, 0xc3, 0x5b, 0x18, 0xa1,
+ 0x51, 0xd5, 0xc4, 0x14, 0xaa, 0xad, 0x97, 0xba, 0x3e, 0x49, 0x93, 0x32,
+ 0xe5, 0x96, 0x07, 0x8e, 0x60, 0x0d, 0xeb, 0x81, 0x14, 0x9c, 0x44, 0x1c,
+ 0xe9, 0x57, 0x82, 0xf2, 0x2a, 0x28, 0x25, 0x63, 0xc5, 0xba, 0xc1, 0x41,
+ 0x14, 0x23, 0x60, 0x5d, 0x1a, 0xe1, 0xaf, 0xae, 0x2c, 0x8b, 0x06, 0x60,
+ 0x23, 0x7e, 0xc1, 0x28, 0xaa, 0x0f, 0xe3, 0x46, 0x4e, 0x43, 0x58, 0x11,
+ 0x5d, 0xb8, 0x4c, 0xc3, 0xb5, 0x23, 0x07, 0x3a, 0x28, 0xd4, 0x54, 0x98,
+ 0x84, 0xb8, 0x1f, 0xf7, 0x0e, 0x10, 0xbf, 0x36, 0x1c, 0x13, 0x72, 0x96,
+ 0x28, 0xd5, 0x34, 0x8f, 0x07, 0x21, 0x1e, 0x7e, 0x4c, 0xf4, 0xf1, 0x8b,
+ 0x28, 0x60, 0x90, 0xbd, 0xb1, 0x24, 0x0b, 0x66, 0xd6, 0xcd, 0x4a, 0xfc,
+ 0xea, 0xdc, 0x00, 0xca, 0x44, 0x6c, 0xe0, 0x50, 0x50, 0xff, 0x18, 0x3a,
+ 0xd2, 0xbb, 0xf1, 0x18, 0xc1, 0xfc, 0x0e, 0xa5, 0x1f, 0x97, 0xd2, 0x2b,
+ 0x8f, 0x7e, 0x46, 0x70, 0x5d, 0x45, 0x27, 0xf4, 0x5b, 0x42, 0xae, 0xff,
+ 0x39, 0x58, 0x53, 0x37, 0x6f, 0x69, 0x7d, 0xd5, 0xfd, 0xf2, 0xc5, 0x18,
+ 0x7d, 0x7d, 0x5f, 0x0e, 0x2e, 0xb8, 0xd4, 0x3f, 0x17, 0xba, 0x0f, 0x7c,
+ 0x60, 0xff, 0x43, 0x7f, 0x53, 0x5d, 0xfe, 0xf2, 0x98, 0x33, 0xbf, 0x86,
+ 0xcb, 0xe8, 0x8e, 0xa4, 0xfb, 0xd4, 0x22, 0x1e, 0x84, 0x11, 0x72, 0x83,
+ 0x54, 0xfa, 0x30, 0xa7, 0x00, 0x8f, 0x15, 0x4a, 0x41, 0xc7, 0xfc, 0x46,
+ 0x6b, 0x46, 0x45, 0xdb, 0xe2, 0xe3, 0x21, 0x26, 0x7f, 0xff, 0xff, 0xff,
+ 0xff, 0xff, 0xff, 0xff,
+};
+
+static const SECItem subprime_ike_1536=
+ { siBuffer,
+ (unsigned char *)subprime_ike_1536_data,
+ sizeof(subprime_ike_1536_data) };
+static const SECItem subprime_ike_2048=
+ { siBuffer,
+ (unsigned char *) subprime_ike_2048_data,
+ sizeof(subprime_ike_2048_data) };
+static const SECItem subprime_ike_3072=
+ { siBuffer,
+ (unsigned char *) subprime_ike_3072_data,
+ sizeof(subprime_ike_3072_data) };
+static const SECItem subprime_ike_4096=
+ { siBuffer,
+ (unsigned char *) subprime_ike_4096_data,
+ sizeof(subprime_ike_4096_data) };
+static const SECItem subprime_ike_6144=
+ { siBuffer,
+ (unsigned char *) subprime_ike_6144_data,
+ sizeof(subprime_ike_6144_data) };
+static const SECItem subprime_ike_8192=
+ { siBuffer,
+ (unsigned char *) subprime_ike_8192_data,
+ sizeof(subprime_ike_8192_data) };
+static const SECItem subprime_tls_2048=
+ { siBuffer,
+ (unsigned char *) subprime_tls_2048_data,
+ sizeof(subprime_tls_2048_data) };
+static const SECItem subprime_tls_3072=
+ { siBuffer,
+ (unsigned char *) subprime_tls_3072_data,
+ sizeof(subprime_tls_3072_data) };
+static const SECItem subprime_tls_4096=
+ { siBuffer,
+ (unsigned char *) subprime_tls_4096_data,
+ sizeof(subprime_tls_4096_data) };
+static const SECItem subprime_tls_6144=
+ { siBuffer,
+ (unsigned char *) subprime_tls_6144_data,
+ sizeof(subprime_tls_6144_data) };
+static const SECItem subprime_tls_8192=
+ { siBuffer,
+ (unsigned char *) subprime_tls_8192_data,
+ sizeof(subprime_tls_8192_data) };
+
+/*
+ * verify that dhPrime matches one of our known primes
+ */
+const SECItem *
+sftk_VerifyDH_Prime(SECItem *dhPrime)
+{
+ /* use the length to decide which primes to check */
+ switch (dhPrime->len) {
+ case 1536 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_ike_1536,
+ sizeof(prime_ike_1536)) == 0) {
+ return &subprime_ike_1536;
+ }
+ break;
+ case 2048 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_tls_2048,
+ sizeof(prime_tls_2048)) == 0) {
+ return &subprime_tls_2048;
+ }
+ if (PORT_Memcmp(dhPrime->data, prime_ike_2048,
+ sizeof(prime_ike_2048)) == 0) {
+ return &subprime_ike_2048;
+ }
+ break;
+ case 3072 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_tls_3072,
+ sizeof(prime_tls_3072)) == 0) {
+ return &subprime_tls_3072;
+ }
+ if (PORT_Memcmp(dhPrime->data, prime_ike_3072,
+ sizeof(prime_ike_3072)) == 0) {
+ return &subprime_ike_3072;
+ }
+ break;
+ case 4096 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_tls_4096,
+ sizeof(prime_tls_4096)) == 0) {
+ return &subprime_tls_4096;
+ }
+ if (PORT_Memcmp(dhPrime->data, prime_ike_4096,
+ sizeof(prime_ike_4096)) == 0) {
+ return &subprime_ike_4096;
+ }
+ break;
+ case 6144 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_tls_6144,
+ sizeof(prime_tls_6144)) == 0) {
+ return &subprime_tls_6144;
+ }
+ if (PORT_Memcmp(dhPrime->data, prime_ike_6144,
+ sizeof(prime_ike_6144)) == 0) {
+ return &subprime_ike_6144;
+ }
+ break;
+ case 8192 / PR_BITS_PER_BYTE:
+ if (PORT_Memcmp(dhPrime->data, prime_tls_8192,
+ sizeof(prime_tls_8192)) == 0) {
+ return &subprime_tls_8192;
+ }
+ if (PORT_Memcmp(dhPrime->data, prime_ike_8192,
+ sizeof(prime_ike_8192)) == 0) {
+ return &subprime_ike_8192;
+ }
+ break;
+ }
+ /* no match found, return an error */
+ PORT_SetError(SEC_ERROR_INVALID_ARGS);
+ return NULL;
+}
+
+
+/* Use the provided subPrime to see if dhPrime is a safe prime. We'll check
+ * primality of those values later. */
+SECStatus
+sftk_IsSafePrime(const SECItem *dhPrime, const SECItem *dhSubPrime, PRBool *isSafe)
+{
+ int i;
+ unsigned char carry = 0;
+ int offset = 0, subPrimeLen = dhPrime->len;
+ *isSafe = PR_FALSE;
+
+ /* Both dhPrime and dhSubPrime should be odd */
+ if (((dhPrime->data[dhPrime->len - 1] & 0x1) != 1) && ((dhSubPrime->data[dhSubPrime->len - 1] & 0x1) != 1)) {
+ PORT_SetError(SEC_ERROR_INVALID_ARGS);
+ return SECFailure;
+ }
+
+ /* subPrime is p-1/2, which means subPrime is 1 bit shorter than p.
+ * It's length in bytes is the same unless the high byte of p == 1 or 0.
+ */
+ if (dhPrime->data[0] <= 1) {
+ subPrimeLen--;
+ offset++;
+ carry = (dhPrime->data[0]) << 7;
+ }
+
+ /* if subprime len is notlong enough it is not a strong prime */
+ if (dhSubPrime->len != subPrimeLen) {
+ return SECSuccess;
+ }
+
+ /* does the subprime match q == (p-1)/2 */
+ for (i = 0; i < subPrimeLen; i++) {
+ if (dhSubPrime->data[i] !=
+ (carry | ((dhPrime->data[i + offset] >> 1) & 0x7f))) {
+ return SECSuccess;
+ }
+ carry = ((dhPrime->data[i + offset] & 1) << 7) & 0x80;
+ }
+ /* subPrime for p claims to be q=(p-1)/2. So the caller thinks p
+ * is a strong prime, just need to check primality of p and q to verify */
+ *isSafe = PR_TRUE;
+ return SECSuccess;
+}
diff --git a/lib/softoken/softoken.gyp b/lib/softoken/softoken.gyp
--- a/lib/softoken/softoken.gyp
+++ b/lib/softoken/softoken.gyp
@@ -51,16 +51,17 @@
'kbkdf.c',
'lowkey.c',
'lowpbe.c',
'padbuf.c',
'pkcs11.c',
'pkcs11c.c',
'pkcs11u.c',
'sdb.c',
+ 'sftkdhverify.c',
'sftkdb.c',
'sftkhmac.c',
'sftkike.c',
'sftkmessage.c',
'sftkpars.c',
'sftkpwd.c',
'softkver.c',
'tlsprf.c'
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