570c9025e0
This is an automated DistroBaker update from upstream sources. If you do not know what this is about or would like to opt out, contact the OSCI team. Source: https://src.fedoraproject.org/rpms/libgcrypt.git#e12a03494690ed17d13ee81d78f4e1d8e7b0a083
1450 lines
45 KiB
C
1450 lines
45 KiB
C
/* ecc-curves.c - Elliptic Curve parameter mangement
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* Copyright (C) 2007, 2008, 2010, 2011 Free Software Foundation, Inc.
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* Copyright (C) 2013 g10 Code GmbH
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*
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* This file is part of Libgcrypt.
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*
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* Libgcrypt is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as
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* published by the Free Software Foundation; either version 2.1 of
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* the License, or (at your option) any later version.
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*
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* Libgcrypt is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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#include <config.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <errno.h>
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#include "g10lib.h"
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#include "mpi.h"
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#include "mpi-internal.h"
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#include "cipher.h"
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#include "context.h"
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#include "ec-context.h"
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#include "pubkey-internal.h"
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#include "ecc-common.h"
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static gpg_err_code_t
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point_from_keyparam (gcry_mpi_point_t *r_a,
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gcry_sexp_t keyparam, const char *name, mpi_ec_t ec);
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/* This tables defines aliases for curve names. */
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static const struct
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{
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const char *name; /* Our name. */
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const char *other; /* Other name. */
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} curve_aliases[] =
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{
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{ "Ed25519", "1.3.6.1.4.1.11591.15.1" }, /* OpenPGP */
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{ "Ed25519", "1.3.101.112" }, /* rfc8410 */
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{ "Curve25519", "1.3.6.1.4.1.3029.1.5.1" }, /* OpenPGP */
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{ "Curve25519", "1.3.101.110" }, /* rfc8410 */
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{ "Curve25519", "X25519" }, /* rfc8410 */
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{ "Ed448", "1.3.101.113" }, /* rfc8410 */
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{ "X448", "1.3.101.111" }, /* rfc8410 */
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{ "NIST P-224", "secp224r1" },
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{ "NIST P-224", "1.3.132.0.33" }, /* SECP OID. */
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{ "NIST P-224", "nistp224" }, /* rfc5656. */
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{ "NIST P-256", "1.2.840.10045.3.1.7" }, /* From NIST SP 800-78-1. */
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{ "NIST P-256", "prime256v1" },
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{ "NIST P-256", "secp256r1" },
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{ "NIST P-256", "nistp256" }, /* rfc5656. */
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{ "NIST P-384", "secp384r1" },
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{ "NIST P-384", "1.3.132.0.34" },
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{ "NIST P-384", "nistp384" }, /* rfc5656. */
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{ "NIST P-521", "secp521r1" },
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{ "NIST P-521", "1.3.132.0.35" },
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{ "NIST P-521", "nistp521" }, /* rfc5656. */
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{ "GOST2001-test", "1.2.643.2.2.35.0" },
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{ "GOST2001-CryptoPro-A", "1.2.643.2.2.35.1" },
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{ "GOST2001-CryptoPro-B", "1.2.643.2.2.35.2" },
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{ "GOST2001-CryptoPro-C", "1.2.643.2.2.35.3" },
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{ "GOST2001-CryptoPro-A", "GOST2001-CryptoPro-XchA" },
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{ "GOST2001-CryptoPro-C", "GOST2001-CryptoPro-XchB" },
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{ "GOST2001-CryptoPro-A", "1.2.643.2.2.36.0" },
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{ "GOST2001-CryptoPro-C", "1.2.643.2.2.36.1" },
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{ "GOST2012-256-tc26-A", "1.2.643.7.1.2.1.1.1" },
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{ "GOST2001-CryptoPro-A", "1.2.643.7.1.2.1.1.2" },
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{ "GOST2001-CryptoPro-A", "GOST2012-256-tc26-B" },
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{ "GOST2001-CryptoPro-B", "1.2.643.7.1.2.1.1.3" },
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{ "GOST2001-CryptoPro-B", "GOST2012-256-tc26-C" },
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{ "GOST2001-CryptoPro-C", "1.2.643.7.1.2.1.1.4" },
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{ "GOST2001-CryptoPro-C", "GOST2012-256-tc26-D" },
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{ "GOST2012-512-test", "GOST2012-test" },
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{ "GOST2012-512-test", "1.2.643.7.1.2.1.2.0" },
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{ "GOST2012-512-tc26-A", "GOST2012-tc26-A" },
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{ "GOST2012-512-tc26-B", "GOST2012-tc26-B" },
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{ "GOST2012-512-tc26-A", "1.2.643.7.1.2.1.2.1" },
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{ "GOST2012-512-tc26-B", "1.2.643.7.1.2.1.2.2" },
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{ "GOST2012-512-tc26-C", "1.2.643.7.1.2.1.2.3" },
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{ "secp256k1", "1.3.132.0.10" },
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{ "sm2p256v1", "1.2.156.10197.1.301" },
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{ NULL, NULL}
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};
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typedef struct
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{
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const char *desc; /* Description of the curve. */
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unsigned int nbits; /* Number of bits. */
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unsigned int fips:1; /* True if this is a FIPS140-2 approved curve. */
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/* The model describing this curve. This is mainly used to select
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the group equation. */
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enum gcry_mpi_ec_models model;
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/* The actual ECC dialect used. This is used for curve specific
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optimizations and to select encodings etc. */
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enum ecc_dialects dialect;
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const char *p; /* The prime defining the field. */
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const char *a, *b; /* The coefficients. For Twisted Edwards
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Curves b is used for d. For Montgomery
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Curves (a,b) has ((A-2)/4,B^-1). */
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const char *n; /* The order of the base point. */
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const char *g_x, *g_y; /* Base point. */
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unsigned int h; /* Cofactor. */
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} ecc_domain_parms_t;
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/* This static table defines all available curves. */
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static const ecc_domain_parms_t domain_parms[] =
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{
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{
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/* (-x^2 + y^2 = 1 + dx^2y^2) */
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"Ed25519", 255, 0,
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MPI_EC_EDWARDS, ECC_DIALECT_ED25519,
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"0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED",
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"-0x01",
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"-0x2DFC9311D490018C7338BF8688861767FF8FF5B2BEBE27548A14B235ECA6874A",
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"0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED",
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"0x216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A",
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"0x6666666666666666666666666666666666666666666666666666666666666658",
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8
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},
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{
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/* (y^2 = x^3 + 486662*x^2 + x) */
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"Curve25519", 255, 0,
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MPI_EC_MONTGOMERY, ECC_DIALECT_STANDARD,
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"0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED",
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"0x01DB41",
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"0x01",
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"0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED",
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"0x0000000000000000000000000000000000000000000000000000000000000009",
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"0x20AE19A1B8A086B4E01EDD2C7748D14C923D4D7E6D7C61B229E9C5A27ECED3D9",
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8
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/* Note: As per RFC-7748 errata eid4730 the g_y value should be
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* "0x5F51E65E475F794B1FE122D388B72EB36DC2B28192839E4DD6163A5D81312C14"
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* but that breaks the keygrip. The new value is recovered in
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* the function _gcry_ecc_fill_in_curve. See bug #4712.
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*/
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},
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{
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/* (x^2 + y^2 = 1 + dx^2y^2) */
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"Ed448", 448, 0,
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MPI_EC_EDWARDS, ECC_DIALECT_SAFECURVE,
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"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
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"0x01",
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"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6756",
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"0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
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"7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3",
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"0x4F1970C66BED0DED221D15A622BF36DA9E146570470F1767EA6DE324"
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"A3D3A46412AE1AF72AB66511433B80E18B00938E2626A82BC70CC05E",
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"0x693F46716EB6BC248876203756C9C7624BEA73736CA3984087789C1E"
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"05A0C2D73AD3FF1CE67C39C4FDBD132C4ED7C8AD9808795BF230FA14",
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4,
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},
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{
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/* (y^2 = x^3 + 156326*x^2 + x) */
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"X448", 448, 0,
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MPI_EC_MONTGOMERY, ECC_DIALECT_SAFECURVE,
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"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE"
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
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"0x98A9",
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"0x01",
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"0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
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"7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3",
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"0x00000000000000000000000000000000000000000000000000000000"
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"00000000000000000000000000000000000000000000000000000005",
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"0x7D235D1295F5B1F66C98AB6E58326FCECBAE5D34F55545D060F75DC2"
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"8DF3F6EDB8027E2346430D211312C4B150677AF76FD7223D457B5B1A",
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4,
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},
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{
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"NIST P-224", 224, 1,
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
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"0xffffffffffffffffffffffffffffffff000000000000000000000001",
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"0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe",
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"0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4",
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"0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d" ,
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"0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21",
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"0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
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1
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},
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{
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"NIST P-256", 256, 1,
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
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"0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
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"0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
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"0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b",
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"0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551",
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"0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
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"0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
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1
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},
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{
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"NIST P-384", 384, 1,
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
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"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"
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"ffffffff0000000000000000ffffffff",
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"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"
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"ffffffff0000000000000000fffffffc",
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"0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875a"
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"c656398d8a2ed19d2a85c8edd3ec2aef",
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"0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf"
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"581a0db248b0a77aecec196accc52973",
|
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"0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a38"
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"5502f25dbf55296c3a545e3872760ab7",
|
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"0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c0"
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"0a60b1ce1d7e819d7a431d7c90ea0e5f",
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1
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},
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{
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"NIST P-521", 521, 1,
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
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"0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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"0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
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"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
|
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"0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef10"
|
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"9e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
|
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"0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"fffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
|
||
|
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"0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d"
|
||
"3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
|
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"0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e"
|
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"662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
|
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1
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},
|
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|
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{
|
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"GOST2001-test", 256, 0,
|
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
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"0x8000000000000000000000000000000000000000000000000000000000000431",
|
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"0x0000000000000000000000000000000000000000000000000000000000000007",
|
||
"0x5fbff498aa938ce739b8e022fbafef40563f6e6a3472fc2a514c0ce9dae23b7e",
|
||
"0x8000000000000000000000000000000150fe8a1892976154c59cfc193accf5b3",
|
||
|
||
"0x0000000000000000000000000000000000000000000000000000000000000002",
|
||
"0x08e2a8a0e65147d4bd6316030e16d19c85c97f0a9ca267122b96abbcea7e8fc8",
|
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1
|
||
},
|
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{
|
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"GOST2001-CryptoPro-A", 256, 0,
|
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
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"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97",
|
||
"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd94",
|
||
"0x00000000000000000000000000000000000000000000000000000000000000a6",
|
||
"0xffffffffffffffffffffffffffffffff6c611070995ad10045841b09b761b893",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000001",
|
||
"0x8d91e471e0989cda27df505a453f2b7635294f2ddf23e3b122acc99c9e9f1e14",
|
||
1
|
||
},
|
||
{
|
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"GOST2001-CryptoPro-B", 256, 0,
|
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MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0x8000000000000000000000000000000000000000000000000000000000000c99",
|
||
"0x8000000000000000000000000000000000000000000000000000000000000c96",
|
||
"0x3e1af419a269a5f866a7d3c25c3df80ae979259373ff2b182f49d4ce7e1bbc8b",
|
||
"0x800000000000000000000000000000015f700cfff1a624e5e497161bcc8a198f",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000001",
|
||
"0x3fa8124359f96680b83d1c3eb2c070e5c545c9858d03ecfb744bf8d717717efc",
|
||
1
|
||
},
|
||
{
|
||
"GOST2001-CryptoPro-C", 256, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b",
|
||
"0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598",
|
||
"0x000000000000000000000000000000000000000000000000000000000000805a",
|
||
"0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000000",
|
||
"0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67",
|
||
1
|
||
},
|
||
{
|
||
"GOST2012-256-A", 256, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97",
|
||
"0xc2173f1513981673af4892c23035a27ce25e2013bf95aa33b22c656f277e7335",
|
||
"0x295f9bae7428ed9ccc20e7c359a9d41a22fccd9108e17bf7ba9337a6f8ae9513",
|
||
"0x400000000000000000000000000000000fd8cddfc87b6635c115af556c360c67",
|
||
"0x91e38443a5e82c0d880923425712b2bb658b9196932e02c78b2582fe742daa28",
|
||
"0x32879423ab1a0375895786c4bb46e9565fde0b5344766740af268adb32322e5c",
|
||
4
|
||
},
|
||
{
|
||
"GOST2012-512-test", 511, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0x4531acd1fe0023c7550d267b6b2fee80922b14b2ffb90f04d4eb7c09b5d2d15d"
|
||
"f1d852741af4704a0458047e80e4546d35b8336fac224dd81664bbf528be6373",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000007",
|
||
"0x1cff0806a31116da29d8cfa54e57eb748bc5f377e49400fdd788b649eca1ac4"
|
||
"361834013b2ad7322480a89ca58e0cf74bc9e540c2add6897fad0a3084f302adc",
|
||
"0x4531acd1fe0023c7550d267b6b2fee80922b14b2ffb90f04d4eb7c09b5d2d15d"
|
||
"a82f2d7ecb1dbac719905c5eecc423f1d86e25edbe23c595d644aaf187e6e6df",
|
||
|
||
"0x24d19cc64572ee30f396bf6ebbfd7a6c5213b3b3d7057cc825f91093a68cd762"
|
||
"fd60611262cd838dc6b60aa7eee804e28bc849977fac33b4b530f1b120248a9a",
|
||
"0x2bb312a43bd2ce6e0d020613c857acddcfbf061e91e5f2c3f32447c259f39b2"
|
||
"c83ab156d77f1496bf7eb3351e1ee4e43dc1a18b91b24640b6dbb92cb1add371e",
|
||
1
|
||
},
|
||
{
|
||
"GOST2012-512-tc26-A", 512, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",
|
||
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4",
|
||
"0xe8c2505dedfc86ddc1bd0b2b6667f1da34b82574761cb0e879bd081cfd0b6265"
|
||
"ee3cb090f30d27614cb4574010da90dd862ef9d4ebee4761503190785a71c760",
|
||
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"27e69532f48d89116ff22b8d4e0560609b4b38abfad2b85dcacdb1411f10b275",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000000"
|
||
"0000000000000000000000000000000000000000000000000000000000000003",
|
||
"0x7503cfe87a836ae3a61b8816e25450e6ce5e1c93acf1abc1778064fdcbefa921"
|
||
"df1626be4fd036e93d75e6a50e3a41e98028fe5fc235f5b889a589cb5215f2a4",
|
||
1
|
||
},
|
||
{
|
||
"GOST2012-512-tc26-B", 512, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0x8000000000000000000000000000000000000000000000000000000000000000"
|
||
"000000000000000000000000000000000000000000000000000000000000006f",
|
||
"0x8000000000000000000000000000000000000000000000000000000000000000"
|
||
"000000000000000000000000000000000000000000000000000000000000006c",
|
||
"0x687d1b459dc841457e3e06cf6f5e2517b97c7d614af138bcbf85dc806c4b289f"
|
||
"3e965d2db1416d217f8b276fad1ab69c50f78bee1fa3106efb8ccbc7c5140116",
|
||
"0x8000000000000000000000000000000000000000000000000000000000000001"
|
||
"49a1ec142565a545acfdb77bd9d40cfa8b996712101bea0ec6346c54374f25bd",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000000"
|
||
"0000000000000000000000000000000000000000000000000000000000000002",
|
||
"0x1a8f7eda389b094c2c071e3647a8940f3c123b697578c213be6dd9e6c8ec7335"
|
||
"dcb228fd1edf4a39152cbcaaf8c0398828041055f94ceeec7e21340780fe41bd",
|
||
1
|
||
},
|
||
{
|
||
"GOST2012-512-tc26-C", 512, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",
|
||
"0xdc9203e514a721875485a529d2c722fb187bc8980eb866644de41c68e1430645"
|
||
"46e861c0e2c9edd92ade71f46fcf50ff2ad97f951fda9f2a2eb6546f39689bd3",
|
||
"0xb4c4ee28cebc6c2c8ac12952cf37f16ac7efb6a9f69f4b57ffda2e4f0de5ade0"
|
||
"38cbc2fff719d2c18de0284b8bfef3b52b8cc7a5f5bf0a3c8d2319a5312557e1",
|
||
"0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||
"c98cdba46506ab004c33a9ff5147502cc8eda9e7a769a12694623cef47f023ed",
|
||
"0xe2e31edfc23de7bdebe241ce593ef5de2295b7a9cbaef021d385f7074cea043a"
|
||
"a27272a7ae602bf2a7b9033db9ed3610c6fb85487eae97aac5bc7928c1950148",
|
||
"0xf5ce40d95b5eb899abbccff5911cb8577939804d6527378b8c108c3d2090ff9be"
|
||
"18e2d33e3021ed2ef32d85822423b6304f726aa854bae07d0396e9a9addc40f",
|
||
4
|
||
},
|
||
|
||
{
|
||
"secp256k1", 256, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000000",
|
||
"0x0000000000000000000000000000000000000000000000000000000000000007",
|
||
"0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
|
||
"0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",
|
||
"0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
|
||
1
|
||
},
|
||
|
||
{
|
||
"sm2p256v1", 256, 0,
|
||
MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD,
|
||
"0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff",
|
||
"0xfffffffeffffffffffffffffffffffffffffffff00000000fffffffffffffffc",
|
||
"0x28e9fa9e9d9f5e344d5a9e4bcf6509a7f39789f515ab8f92ddbcbd414d940e93",
|
||
"0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123",
|
||
"0x32c4ae2c1f1981195f9904466a39c9948fe30bbff2660be1715a4589334c74c7",
|
||
"0xbc3736a2f4f6779c59bdcee36b692153d0a9877cc62a474002df32e52139f0a0",
|
||
1
|
||
},
|
||
|
||
{ NULL, 0, 0, 0, 0, NULL, NULL, NULL, NULL, NULL }
|
||
};
|
||
|
||
|
||
|
||
|
||
/* Return a copy of POINT. */
|
||
static gcry_mpi_point_t
|
||
point_copy (gcry_mpi_point_t point)
|
||
{
|
||
gcry_mpi_point_t newpoint;
|
||
|
||
if (point)
|
||
{
|
||
newpoint = mpi_point_new (0);
|
||
point_set (newpoint, point);
|
||
}
|
||
else
|
||
newpoint = NULL;
|
||
return newpoint;
|
||
}
|
||
|
||
|
||
/* Helper to scan a hex string. */
|
||
static gcry_mpi_t
|
||
scanval (const char *string)
|
||
{
|
||
gpg_err_code_t rc;
|
||
gcry_mpi_t val;
|
||
|
||
rc = _gcry_mpi_scan (&val, GCRYMPI_FMT_HEX, string, 0, NULL);
|
||
if (rc)
|
||
log_fatal ("scanning ECC parameter failed: %s\n", gpg_strerror (rc));
|
||
return val;
|
||
}
|
||
|
||
|
||
/* Return the index of the domain_parms table for a curve with NAME.
|
||
Return -1 if not found. */
|
||
static int
|
||
find_domain_parms_idx (const char *name)
|
||
{
|
||
int idx, aliasno;
|
||
|
||
/* First check our native curves. */
|
||
for (idx = 0; domain_parms[idx].desc; idx++)
|
||
if (!strcmp (name, domain_parms[idx].desc))
|
||
return idx;
|
||
|
||
/* If not found consult the alias table. */
|
||
if (!domain_parms[idx].desc)
|
||
{
|
||
for (aliasno = 0; curve_aliases[aliasno].name; aliasno++)
|
||
if (!strcmp (name, curve_aliases[aliasno].other))
|
||
break;
|
||
if (curve_aliases[aliasno].name)
|
||
{
|
||
for (idx = 0; domain_parms[idx].desc; idx++)
|
||
if (!strcmp (curve_aliases[aliasno].name, domain_parms[idx].desc))
|
||
return idx;
|
||
}
|
||
}
|
||
|
||
return -1;
|
||
}
|
||
|
||
|
||
/* Generate the crypto system setup. This function takes the NAME of
|
||
a curve or the desired number of bits and stores at R_CURVE the
|
||
parameters of the named curve or those of a suitable curve. If
|
||
R_NBITS is not NULL, the chosen number of bits is stored there.
|
||
NULL may be given for R_CURVE, if the value is not required and for
|
||
example only a quick test for availability is desired. Note that
|
||
the curve fields should be initialized to zero because fields which
|
||
are not NULL are skipped. */
|
||
gpg_err_code_t
|
||
_gcry_ecc_fill_in_curve (unsigned int nbits, const char *name,
|
||
elliptic_curve_t *curve, unsigned int *r_nbits)
|
||
{
|
||
int idx;
|
||
const char *resname = NULL; /* Set to a found curve name. */
|
||
|
||
if (name)
|
||
idx = find_domain_parms_idx (name);
|
||
else
|
||
{
|
||
for (idx = 0; domain_parms[idx].desc; idx++)
|
||
if (nbits == domain_parms[idx].nbits
|
||
&& domain_parms[idx].model == MPI_EC_WEIERSTRASS)
|
||
break;
|
||
if (!domain_parms[idx].desc)
|
||
idx = -1;
|
||
}
|
||
if (idx < 0)
|
||
return GPG_ERR_UNKNOWN_CURVE;
|
||
|
||
resname = domain_parms[idx].desc;
|
||
|
||
/* In fips mode we only support NIST curves. Note that it is
|
||
possible to bypass this check by specifying the curve parameters
|
||
directly. */
|
||
if (fips_mode () && !domain_parms[idx].fips )
|
||
return GPG_ERR_NOT_SUPPORTED;
|
||
|
||
switch (domain_parms[idx].model)
|
||
{
|
||
case MPI_EC_WEIERSTRASS:
|
||
case MPI_EC_EDWARDS:
|
||
case MPI_EC_MONTGOMERY:
|
||
break;
|
||
default:
|
||
return GPG_ERR_BUG;
|
||
}
|
||
|
||
|
||
if (r_nbits)
|
||
*r_nbits = domain_parms[idx].nbits;
|
||
|
||
if (curve)
|
||
{
|
||
curve->model = domain_parms[idx].model;
|
||
curve->dialect = domain_parms[idx].dialect;
|
||
if (!curve->p)
|
||
curve->p = scanval (domain_parms[idx].p);
|
||
if (!curve->a)
|
||
{
|
||
curve->a = scanval (domain_parms[idx].a);
|
||
if (curve->a->sign)
|
||
{
|
||
mpi_resize (curve->a, curve->p->nlimbs);
|
||
_gcry_mpih_sub_n (curve->a->d, curve->p->d,
|
||
curve->a->d, curve->p->nlimbs);
|
||
curve->a->nlimbs = curve->p->nlimbs;
|
||
curve->a->sign = 0;
|
||
}
|
||
}
|
||
if (!curve->b)
|
||
{
|
||
curve->b = scanval (domain_parms[idx].b);
|
||
if (curve->b->sign)
|
||
{
|
||
mpi_resize (curve->b, curve->p->nlimbs);
|
||
_gcry_mpih_sub_n (curve->b->d, curve->p->d,
|
||
curve->b->d, curve->p->nlimbs);
|
||
curve->b->nlimbs = curve->p->nlimbs;
|
||
curve->b->sign = 0;
|
||
}
|
||
}
|
||
if (!curve->n)
|
||
curve->n = scanval (domain_parms[idx].n);
|
||
if (!curve->G.x)
|
||
curve->G.x = scanval (domain_parms[idx].g_x);
|
||
if (!curve->G.y)
|
||
curve->G.y = scanval (domain_parms[idx].g_y);
|
||
curve->h = domain_parms[idx].h;
|
||
|
||
/*
|
||
* In the constants of domain_parms, we defined Curve25519
|
||
* domain parameters as the ones in RFC-7748 before the errata
|
||
* (eid4730). To keep the computation having exact same values,
|
||
* we recover the new value of g_y, here.
|
||
*/
|
||
if (!strcmp (resname, "Curve25519"))
|
||
mpi_sub (curve->G.y, curve->p, curve->G.y);
|
||
|
||
if (!curve->G.z)
|
||
curve->G.z = mpi_alloc_set_ui (1);
|
||
if (!curve->name)
|
||
curve->name = resname;
|
||
}
|
||
|
||
return 0;
|
||
}
|
||
|
||
|
||
/* Give the name of the curve NAME, store the curve parameters into P,
|
||
A, B, G, and N if they point to NULL value. Note that G is
|
||
returned in standard uncompressed format. Also update MODEL and
|
||
DIALECT if they are not NULL. */
|
||
gpg_err_code_t
|
||
_gcry_ecc_update_curve_param (const char *name,
|
||
enum gcry_mpi_ec_models *model,
|
||
enum ecc_dialects *dialect,
|
||
gcry_mpi_t *p, gcry_mpi_t *a, gcry_mpi_t *b,
|
||
gcry_mpi_t *g, gcry_mpi_t *n)
|
||
{
|
||
int idx;
|
||
|
||
idx = find_domain_parms_idx (name);
|
||
if (idx < 0)
|
||
return GPG_ERR_UNKNOWN_CURVE;
|
||
|
||
if (g)
|
||
{
|
||
char *buf;
|
||
size_t len;
|
||
|
||
len = 4;
|
||
len += strlen (domain_parms[idx].g_x+2);
|
||
len += strlen (domain_parms[idx].g_y+2);
|
||
len++;
|
||
buf = xtrymalloc (len);
|
||
if (!buf)
|
||
return gpg_err_code_from_syserror ();
|
||
strcpy (stpcpy (stpcpy (buf, "0x04"), domain_parms[idx].g_x+2),
|
||
domain_parms[idx].g_y+2);
|
||
_gcry_mpi_release (*g);
|
||
*g = scanval (buf);
|
||
xfree (buf);
|
||
}
|
||
if (model)
|
||
*model = domain_parms[idx].model;
|
||
if (dialect)
|
||
*dialect = domain_parms[idx].dialect;
|
||
if (p)
|
||
{
|
||
_gcry_mpi_release (*p);
|
||
*p = scanval (domain_parms[idx].p);
|
||
}
|
||
if (a)
|
||
{
|
||
_gcry_mpi_release (*a);
|
||
*a = scanval (domain_parms[idx].a);
|
||
}
|
||
if (b)
|
||
{
|
||
_gcry_mpi_release (*b);
|
||
*b = scanval (domain_parms[idx].b);
|
||
}
|
||
if (n)
|
||
{
|
||
_gcry_mpi_release (*n);
|
||
*n = scanval (domain_parms[idx].n);
|
||
}
|
||
return 0;
|
||
}
|
||
|
||
|
||
/* Return the name matching the parameters in PKEY. This works only
|
||
with curves described by the Weierstrass equation. */
|
||
const char *
|
||
_gcry_ecc_get_curve (gcry_sexp_t keyparms, int iterator, unsigned int *r_nbits)
|
||
{
|
||
gpg_err_code_t rc;
|
||
const char *result = NULL;
|
||
elliptic_curve_t E;
|
||
gcry_mpi_point_t G = NULL;
|
||
gcry_mpi_t tmp = NULL;
|
||
int idx;
|
||
|
||
memset (&E, 0, sizeof E);
|
||
|
||
if (r_nbits)
|
||
*r_nbits = 0;
|
||
|
||
if (!keyparms)
|
||
{
|
||
idx = iterator;
|
||
if (idx >= 0 && idx < DIM (domain_parms))
|
||
{
|
||
result = domain_parms[idx].desc;
|
||
if (r_nbits)
|
||
*r_nbits = domain_parms[idx].nbits;
|
||
}
|
||
return result;
|
||
}
|
||
|
||
|
||
/*
|
||
* Extract the curve parameters..
|
||
*/
|
||
rc = gpg_err_code (sexp_extract_param (keyparms, NULL, "pabn",
|
||
&E.p, &E.a, &E.b, &E.n, NULL));
|
||
if (rc == GPG_ERR_NO_OBJ)
|
||
{
|
||
/* This might be the second use case of checking whether a
|
||
specific curve given by name is supported. */
|
||
gcry_sexp_t l1;
|
||
char *name;
|
||
|
||
l1 = sexp_find_token (keyparms, "curve", 5);
|
||
if (!l1)
|
||
goto leave; /* No curve name parameter. */
|
||
|
||
name = sexp_nth_string (l1, 1);
|
||
sexp_release (l1);
|
||
if (!name)
|
||
goto leave; /* Name missing or out of core. */
|
||
|
||
idx = find_domain_parms_idx (name);
|
||
xfree (name);
|
||
if (idx >= 0) /* Curve found. */
|
||
{
|
||
result = domain_parms[idx].desc;
|
||
if (r_nbits)
|
||
*r_nbits = domain_parms[idx].nbits;
|
||
}
|
||
return result;
|
||
}
|
||
|
||
if (rc)
|
||
goto leave;
|
||
|
||
rc = point_from_keyparam (&G, keyparms, "g", NULL);
|
||
if (rc)
|
||
goto leave;
|
||
|
||
_gcry_mpi_point_init (&E.G);
|
||
_gcry_mpi_point_set (&E.G, G->x, G->y, G->z);
|
||
|
||
for (idx = 0; domain_parms[idx].desc; idx++)
|
||
{
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].p);
|
||
if (mpi_cmp (tmp, E.p))
|
||
continue;
|
||
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].a);
|
||
if (tmp->sign)
|
||
{
|
||
if (!mpi_cmpabs (tmp, E.a))
|
||
/* For backward compatibility to <= libgcrypt 1.8, we
|
||
allow this match to support existing keys in SEXP. */
|
||
;
|
||
else
|
||
{
|
||
mpi_resize (tmp, E.p->nlimbs);
|
||
_gcry_mpih_sub_n (tmp->d, E.p->d,
|
||
tmp->d, E.p->nlimbs);
|
||
tmp->nlimbs = E.p->nlimbs;
|
||
tmp->sign = 0;
|
||
if (mpi_cmp (tmp, E.a))
|
||
continue;
|
||
}
|
||
}
|
||
else if (mpi_cmp (tmp, E.a))
|
||
continue;
|
||
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].b);
|
||
if (tmp->sign)
|
||
{
|
||
if (!mpi_cmpabs (tmp, E.b))
|
||
/* Same for backward compatibility, see above. */
|
||
;
|
||
else
|
||
{
|
||
mpi_resize (tmp, E.p->nlimbs);
|
||
_gcry_mpih_sub_n (tmp->d, E.p->d,
|
||
tmp->d, E.p->nlimbs);
|
||
tmp->nlimbs = E.p->nlimbs;
|
||
tmp->sign = 0;
|
||
if (mpi_cmp (tmp, E.b))
|
||
continue;
|
||
}
|
||
}
|
||
else if (mpi_cmp (tmp, E.b))
|
||
continue;
|
||
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].n);
|
||
if (mpi_cmp (tmp, E.n))
|
||
continue;
|
||
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].g_x);
|
||
if (mpi_cmp (tmp, E.G.x))
|
||
continue;
|
||
|
||
mpi_free (tmp);
|
||
tmp = scanval (domain_parms[idx].g_y);
|
||
if (mpi_cmp (tmp, E.G.y))
|
||
continue;
|
||
|
||
result = domain_parms[idx].desc;
|
||
if (r_nbits)
|
||
*r_nbits = domain_parms[idx].nbits;
|
||
break;
|
||
}
|
||
|
||
leave:
|
||
_gcry_mpi_point_release (G);
|
||
_gcry_mpi_release (tmp);
|
||
_gcry_mpi_release (E.p);
|
||
_gcry_mpi_release (E.a);
|
||
_gcry_mpi_release (E.b);
|
||
_gcry_mpi_point_free_parts (&E.G);
|
||
_gcry_mpi_release (E.n);
|
||
return result;
|
||
}
|
||
|
||
|
||
/* Helper to extract an MPI from key parameters. */
|
||
static gpg_err_code_t
|
||
mpi_from_keyparam (gcry_mpi_t *r_a, gcry_sexp_t keyparam, const char *name,
|
||
int opaque)
|
||
{
|
||
gcry_err_code_t ec = 0;
|
||
gcry_sexp_t l1;
|
||
|
||
l1 = sexp_find_token (keyparam, name, 0);
|
||
if (l1)
|
||
{
|
||
*r_a = sexp_nth_mpi (l1, 1, opaque? GCRYMPI_FMT_OPAQUE : GCRYMPI_FMT_USG);
|
||
sexp_release (l1);
|
||
if (!*r_a)
|
||
ec = GPG_ERR_INV_OBJ;
|
||
}
|
||
return ec;
|
||
}
|
||
|
||
/* Helper to extract a point from key parameters. If no parameter
|
||
with NAME is found, the functions tries to find a non-encoded point
|
||
by appending ".x", ".y" and ".z" to NAME. ".z" is in this case
|
||
optional and defaults to 1. EC is the context which at this point
|
||
may not be fully initialized. */
|
||
static gpg_err_code_t
|
||
point_from_keyparam (gcry_mpi_point_t *r_a,
|
||
gcry_sexp_t keyparam, const char *name, mpi_ec_t ec)
|
||
{
|
||
gcry_err_code_t rc;
|
||
gcry_sexp_t l1;
|
||
gcry_mpi_point_t point;
|
||
|
||
l1 = sexp_find_token (keyparam, name, 0);
|
||
if (l1)
|
||
{
|
||
gcry_mpi_t a;
|
||
|
||
a = sexp_nth_mpi (l1, 1, GCRYMPI_FMT_OPAQUE);
|
||
sexp_release (l1);
|
||
if (!a)
|
||
return GPG_ERR_INV_OBJ;
|
||
|
||
point = mpi_point_new (0);
|
||
rc = _gcry_mpi_ec_decode_point (point, a, ec);
|
||
mpi_free (a);
|
||
if (rc)
|
||
{
|
||
mpi_point_release (point);
|
||
return rc;
|
||
}
|
||
}
|
||
else
|
||
{
|
||
char *tmpname;
|
||
gcry_mpi_t x = NULL;
|
||
gcry_mpi_t y = NULL;
|
||
gcry_mpi_t z = NULL;
|
||
|
||
tmpname = xtrymalloc (strlen (name) + 2 + 1);
|
||
if (!tmpname)
|
||
return gpg_err_code_from_syserror ();
|
||
strcpy (stpcpy (tmpname, name), ".x");
|
||
rc = mpi_from_keyparam (&x, keyparam, tmpname, 0);
|
||
if (rc)
|
||
{
|
||
xfree (tmpname);
|
||
return rc;
|
||
}
|
||
strcpy (stpcpy (tmpname, name), ".y");
|
||
rc = mpi_from_keyparam (&y, keyparam, tmpname, 0);
|
||
if (rc)
|
||
{
|
||
mpi_free (x);
|
||
xfree (tmpname);
|
||
return rc;
|
||
}
|
||
strcpy (stpcpy (tmpname, name), ".z");
|
||
rc = mpi_from_keyparam (&z, keyparam, tmpname, 0);
|
||
if (rc)
|
||
{
|
||
mpi_free (y);
|
||
mpi_free (x);
|
||
xfree (tmpname);
|
||
return rc;
|
||
}
|
||
if (!z)
|
||
z = mpi_set_ui (NULL, 1);
|
||
if (x && y)
|
||
point = mpi_point_snatch_set (NULL, x, y, z);
|
||
else
|
||
{
|
||
mpi_free (x);
|
||
mpi_free (y);
|
||
mpi_free (z);
|
||
point = NULL;
|
||
}
|
||
xfree (tmpname);
|
||
}
|
||
|
||
if (point)
|
||
*r_a = point;
|
||
return 0;
|
||
}
|
||
|
||
|
||
|
||
static gpg_err_code_t
|
||
mpi_ec_get_elliptic_curve (elliptic_curve_t *E, int *r_flags,
|
||
gcry_sexp_t keyparam, const char *curvename)
|
||
{
|
||
gpg_err_code_t errc;
|
||
unsigned int nbits;
|
||
gcry_sexp_t l1;
|
||
|
||
errc = _gcry_pk_util_get_nbits (keyparam, &nbits);
|
||
if (errc)
|
||
return errc;
|
||
|
||
E->model = MPI_EC_WEIERSTRASS;
|
||
E->dialect = ECC_DIALECT_STANDARD;
|
||
E->h = 1;
|
||
|
||
if (keyparam)
|
||
{
|
||
/* Parse an optional flags list. */
|
||
l1 = sexp_find_token (keyparam, "flags", 0);
|
||
if (l1)
|
||
{
|
||
int flags = 0;
|
||
|
||
errc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL);
|
||
sexp_release (l1);
|
||
l1 = NULL;
|
||
if (errc)
|
||
goto leave;
|
||
|
||
*r_flags |= flags;
|
||
}
|
||
|
||
/* Parse the deprecated optional transient-key flag. */
|
||
l1 = sexp_find_token (keyparam, "transient-key", 0);
|
||
if (l1)
|
||
{
|
||
*r_flags |= PUBKEY_FLAG_TRANSIENT_KEY;
|
||
sexp_release (l1);
|
||
}
|
||
|
||
/* Check whether a curve name was given. */
|
||
l1 = sexp_find_token (keyparam, "curve", 5);
|
||
|
||
/* If we don't have a curve name or if override parameters have
|
||
explicitly been requested, parse them. */
|
||
if (!l1 || (*r_flags & PUBKEY_FLAG_PARAM))
|
||
{
|
||
gcry_mpi_point_t G = NULL;
|
||
gcry_mpi_t cofactor = NULL;
|
||
|
||
errc = mpi_from_keyparam (&E->p, keyparam, "p", 0);
|
||
if (errc)
|
||
goto leave;
|
||
errc = mpi_from_keyparam (&E->a, keyparam, "a", 0);
|
||
if (errc)
|
||
goto leave;
|
||
errc = mpi_from_keyparam (&E->b, keyparam, "b", 0);
|
||
if (errc)
|
||
goto leave;
|
||
errc = point_from_keyparam (&G, keyparam, "g", NULL);
|
||
if (errc)
|
||
goto leave;
|
||
if (G)
|
||
{
|
||
_gcry_mpi_point_init (&E->G);
|
||
mpi_point_set (&E->G, G->x, G->y, G->z);
|
||
mpi_point_set (G, NULL, NULL, NULL);
|
||
mpi_point_release (G);
|
||
}
|
||
errc = mpi_from_keyparam (&E->n, keyparam, "n", 0);
|
||
if (errc)
|
||
goto leave;
|
||
errc = mpi_from_keyparam (&cofactor, keyparam, "h", 0);
|
||
if (errc)
|
||
goto leave;
|
||
if (cofactor)
|
||
{
|
||
mpi_get_ui (&E->h, cofactor);
|
||
mpi_free (cofactor);
|
||
}
|
||
}
|
||
}
|
||
else
|
||
l1 = NULL; /* No curvename. */
|
||
|
||
/* Check whether a curve parameter is available and use that to fill
|
||
in missing values. If no curve parameter is available try an
|
||
optional provided curvename. If only the curvename has been
|
||
given use that one. */
|
||
if (l1 || curvename || nbits)
|
||
{
|
||
char *name;
|
||
|
||
if (l1)
|
||
{
|
||
name = sexp_nth_string (l1, 1);
|
||
sexp_release (l1);
|
||
if (!name)
|
||
{
|
||
errc = GPG_ERR_INV_OBJ; /* Name missing or out of core. */
|
||
goto leave;
|
||
}
|
||
}
|
||
else
|
||
name = NULL;
|
||
|
||
errc = _gcry_ecc_fill_in_curve (nbits, name? name : curvename, E, NULL);
|
||
xfree (name);
|
||
if (errc)
|
||
goto leave;
|
||
}
|
||
|
||
leave:
|
||
return errc;
|
||
}
|
||
|
||
static gpg_err_code_t
|
||
mpi_ec_setup_elliptic_curve (mpi_ec_t ec, int flags,
|
||
elliptic_curve_t *E, gcry_sexp_t keyparam)
|
||
{
|
||
gpg_err_code_t errc = 0;
|
||
|
||
ec->G = mpi_point_snatch_set (NULL, E->G.x, E->G.y, E->G.z);
|
||
E->G.x = NULL;
|
||
E->G.y = NULL;
|
||
E->G.z = NULL;
|
||
ec->n = E->n;
|
||
E->n = NULL;
|
||
ec->h = E->h;
|
||
ec->name = E->name;
|
||
|
||
/* Now that we know the curve name we can look for the public key
|
||
Q. point_from_keyparam needs to know the curve parameters so
|
||
that it is able to use the correct decompression. Parsing
|
||
the private key D could have been done earlier but it is less
|
||
surprising if we do it here as well. */
|
||
if (keyparam)
|
||
{
|
||
int is_opaque_bytes = ((ec->dialect == ECC_DIALECT_ED25519
|
||
&& (flags & PUBKEY_FLAG_EDDSA))
|
||
|| (ec->dialect == ECC_DIALECT_SAFECURVE));
|
||
|
||
errc = point_from_keyparam (&ec->Q, keyparam, "q", ec);
|
||
if (errc)
|
||
return errc;
|
||
errc = mpi_from_keyparam (&ec->d, keyparam, "d", is_opaque_bytes);
|
||
|
||
/* Size of opaque bytes should match size of P. */
|
||
if (!errc && ec->d && is_opaque_bytes)
|
||
{
|
||
unsigned int n = mpi_get_nbits (ec->d);
|
||
unsigned int len;
|
||
|
||
len = (ec->nbits+7)/8;
|
||
/* EdDSA requires additional bit for sign. */
|
||
if ((ec->nbits%8) == 0 && ec->model == MPI_EC_EDWARDS)
|
||
len++;
|
||
|
||
if ((n+7)/8 != len)
|
||
{
|
||
if ((n+7)/8 < len && ec->dialect == ECC_DIALECT_ED25519)
|
||
{
|
||
/*
|
||
* GnuPG (<= 2.2) or OpenPGP implementations with no
|
||
* SOS support may remove zeros at the beginning.
|
||
* Recover those zeros.
|
||
*/
|
||
const unsigned char *buf;
|
||
unsigned char *value;
|
||
|
||
buf = mpi_get_opaque (ec->d, &n);
|
||
if (!buf)
|
||
return GPG_ERR_INV_OBJ;
|
||
|
||
value = xtrycalloc_secure (1, len);
|
||
if (!value)
|
||
return gpg_err_code_from_syserror ();
|
||
|
||
memset (value, 0, len - (n+7)/8);
|
||
memcpy (value + len - (n+7)/8, buf, (n+7)/8);
|
||
mpi_set_opaque (ec->d, value, len);
|
||
}
|
||
else
|
||
{
|
||
if (DBG_CIPHER)
|
||
log_debug ("scalar size (%d) != prime size (%d)",
|
||
(n+7)/8, len);
|
||
|
||
errc = GPG_ERR_INV_OBJ;
|
||
}
|
||
}
|
||
}
|
||
}
|
||
|
||
return errc;
|
||
}
|
||
|
||
gpg_err_code_t
|
||
_gcry_mpi_ec_internal_new (mpi_ec_t *r_ec, int *r_flags, const char *name_op,
|
||
gcry_sexp_t keyparam, const char *curvename)
|
||
{
|
||
gpg_err_code_t errc;
|
||
elliptic_curve_t E;
|
||
mpi_ec_t ec;
|
||
|
||
*r_ec = NULL;
|
||
|
||
memset (&E, 0, sizeof E);
|
||
errc = mpi_ec_get_elliptic_curve (&E, r_flags, keyparam, curvename);
|
||
if (errc)
|
||
goto leave;
|
||
|
||
ec = _gcry_mpi_ec_p_internal_new (E.model, E.dialect, *r_flags,
|
||
E.p, E.a, E.b);
|
||
if (!ec)
|
||
goto leave;
|
||
|
||
errc = mpi_ec_setup_elliptic_curve (ec, *r_flags, &E, keyparam);
|
||
if (errc)
|
||
{
|
||
_gcry_mpi_ec_free (ec);
|
||
goto leave;
|
||
}
|
||
else
|
||
*r_ec = ec;
|
||
|
||
if (!errc && DBG_CIPHER)
|
||
{
|
||
gcry_mpi_t mpi_q = NULL;
|
||
gcry_sexp_t l1;
|
||
char msg[80];
|
||
|
||
l1 = sexp_find_token (keyparam, "q", 0);
|
||
if (l1)
|
||
{
|
||
mpi_q = sexp_nth_mpi (l1, 1, GCRYMPI_FMT_OPAQUE);
|
||
sexp_release (l1);
|
||
}
|
||
|
||
log_debug ("%s info: %s/%s%s\n", name_op,
|
||
_gcry_ecc_model2str (ec->model),
|
||
_gcry_ecc_dialect2str (ec->dialect),
|
||
(*r_flags & PUBKEY_FLAG_EDDSA)? "+EdDSA" : "");
|
||
if (ec->name)
|
||
log_debug ("%s name: %s\n", name_op, ec->name);
|
||
snprintf (msg, sizeof msg, "%s p", name_op);
|
||
log_printmpi (msg, ec->p);
|
||
snprintf (msg, sizeof msg, "%s a", name_op);
|
||
log_printmpi (msg, ec->a);
|
||
snprintf (msg, sizeof msg, "%s b", name_op);
|
||
log_printmpi (msg, ec->b);
|
||
snprintf (msg, sizeof msg, "%s g", name_op);
|
||
log_printpnt (msg, ec->G, NULL);
|
||
snprintf (msg, sizeof msg, "%s n", name_op);
|
||
log_printmpi (msg, ec->n);
|
||
log_debug ("%s h:+%02x\n", name_op, ec->h);
|
||
if (mpi_q)
|
||
{
|
||
snprintf (msg, sizeof msg, "%s q", name_op);
|
||
log_printmpi (msg, mpi_q);
|
||
mpi_free (mpi_q);
|
||
}
|
||
if (!fips_mode () && ec->d)
|
||
{
|
||
snprintf (msg, sizeof msg, "%s d", name_op);
|
||
log_printmpi (msg, ec->d);
|
||
}
|
||
}
|
||
|
||
leave:
|
||
_gcry_ecc_curve_free (&E);
|
||
return errc;
|
||
}
|
||
|
||
/* This function creates a new context for elliptic curve operations.
|
||
Either KEYPARAM or CURVENAME must be given. If both are given and
|
||
KEYPARAM has no curve parameter, CURVENAME is used to add missing
|
||
parameters. On success 0 is returned and the new context stored at
|
||
R_CTX. On error NULL is stored at R_CTX and an error code is
|
||
returned. The context needs to be released using
|
||
gcry_ctx_release. */
|
||
gpg_err_code_t
|
||
_gcry_mpi_ec_new (gcry_ctx_t *r_ctx,
|
||
gcry_sexp_t keyparam, const char *curvename)
|
||
{
|
||
gpg_err_code_t errc;
|
||
elliptic_curve_t E;
|
||
gcry_ctx_t ctx = NULL;
|
||
int flags = 0;
|
||
mpi_ec_t ec;
|
||
|
||
*r_ctx = NULL;
|
||
|
||
memset (&E, 0, sizeof E);
|
||
errc = mpi_ec_get_elliptic_curve (&E, &flags, keyparam, curvename);
|
||
if (errc)
|
||
goto leave;
|
||
|
||
errc = _gcry_mpi_ec_p_new (&ctx, E.model, E.dialect, flags, E.p, E.a, E.b);
|
||
if (errc)
|
||
goto leave;
|
||
|
||
ec = _gcry_ctx_get_pointer (ctx, CONTEXT_TYPE_EC);
|
||
errc = mpi_ec_setup_elliptic_curve (ec, flags, &E, keyparam);
|
||
if (errc)
|
||
goto leave;
|
||
|
||
*r_ctx = ctx;
|
||
ctx = NULL;
|
||
|
||
leave:
|
||
_gcry_ecc_curve_free (&E);
|
||
_gcry_ctx_release (ctx);
|
||
return errc;
|
||
}
|
||
|
||
|
||
/* Return the parameters of the curve NAME as an S-expression. */
|
||
gcry_sexp_t
|
||
_gcry_ecc_get_param_sexp (const char *name)
|
||
{
|
||
unsigned int nbits;
|
||
elliptic_curve_t E;
|
||
mpi_ec_t ctx;
|
||
gcry_mpi_t g_x, g_y;
|
||
gcry_mpi_t pkey[5];
|
||
gcry_sexp_t result;
|
||
int i;
|
||
|
||
memset (&E, 0, sizeof E);
|
||
if (_gcry_ecc_fill_in_curve (0, name, &E, &nbits))
|
||
return NULL;
|
||
|
||
g_x = mpi_new (0);
|
||
g_y = mpi_new (0);
|
||
ctx = _gcry_mpi_ec_p_internal_new (E.model,
|
||
E.dialect,
|
||
0,
|
||
E.p, E.a, E.b);
|
||
if (_gcry_mpi_ec_get_affine (g_x, g_y, &E.G, ctx))
|
||
log_fatal ("ecc get param: Failed to get affine coordinates\n");
|
||
_gcry_mpi_ec_free (ctx);
|
||
_gcry_mpi_point_free_parts (&E.G);
|
||
|
||
pkey[0] = E.p;
|
||
pkey[1] = E.a;
|
||
pkey[2] = E.b;
|
||
pkey[3] = _gcry_ecc_ec2os (g_x, g_y, E.p);
|
||
pkey[4] = E.n;
|
||
|
||
mpi_free (g_x);
|
||
mpi_free (g_y);
|
||
|
||
if (sexp_build (&result, NULL,
|
||
"(public-key(ecc(p%m)(a%m)(b%m)(g%m)(n%m)(h%u)))",
|
||
pkey[0], pkey[1], pkey[2], pkey[3], pkey[4], E.h))
|
||
result = NULL;
|
||
|
||
for (i=0; i < DIM (pkey); i++)
|
||
_gcry_mpi_release (pkey[i]);
|
||
|
||
return result;
|
||
}
|
||
|
||
|
||
/* Return an MPI (or opaque MPI) described by NAME and the context EC.
|
||
If COPY is true a copy is returned, if not a const MPI may be
|
||
returned. In any case mpi_free must be used. */
|
||
gcry_mpi_t
|
||
_gcry_ecc_get_mpi (const char *name, mpi_ec_t ec, int copy)
|
||
{
|
||
if (!*name)
|
||
return NULL;
|
||
|
||
if (!strcmp (name, "p") && ec->p)
|
||
return mpi_is_const (ec->p) && !copy? ec->p : mpi_copy (ec->p);
|
||
if (!strcmp (name, "a") && ec->a)
|
||
return mpi_is_const (ec->a) && !copy? ec->a : mpi_copy (ec->a);
|
||
if (!strcmp (name, "b") && ec->b)
|
||
return mpi_is_const (ec->b) && !copy? ec->b : mpi_copy (ec->b);
|
||
if (!strcmp (name, "n") && ec->n)
|
||
return mpi_is_const (ec->n) && !copy? ec->n : mpi_copy (ec->n);
|
||
if (!strcmp (name, "h"))
|
||
{
|
||
gcry_mpi_t h = _gcry_mpi_get_const (ec->h);
|
||
|
||
return !copy? h : mpi_set (NULL, h);
|
||
}
|
||
if (!strcmp (name, "d") && ec->d)
|
||
return mpi_is_const (ec->d) && !copy? ec->d : mpi_copy (ec->d);
|
||
|
||
/* Return a requested point coordinate. */
|
||
if (!strcmp (name, "g.x") && ec->G && ec->G->x)
|
||
return mpi_is_const (ec->G->x) && !copy? ec->G->x : mpi_copy (ec->G->x);
|
||
if (!strcmp (name, "g.y") && ec->G && ec->G->y)
|
||
return mpi_is_const (ec->G->y) && !copy? ec->G->y : mpi_copy (ec->G->y);
|
||
if (!strcmp (name, "q.x") && ec->Q && ec->Q->x)
|
||
return mpi_is_const (ec->Q->x) && !copy? ec->Q->x : mpi_copy (ec->Q->x);
|
||
if (!strcmp (name, "q.y") && ec->Q && ec->Q->y)
|
||
return mpi_is_const (ec->Q->y) && !copy? ec->Q->y : mpi_copy (ec->Q->y);
|
||
|
||
/* If the base point has been requested, return it in standard
|
||
encoding. */
|
||
if (!strcmp (name, "g") && ec->G)
|
||
return _gcry_mpi_ec_ec2os (ec->G, ec);
|
||
|
||
/* If the public key has been requested, return it by default in
|
||
standard uncompressed encoding or if requested in other
|
||
encodings. */
|
||
if (*name == 'q' && (!name[1] || name[1] == '@'))
|
||
{
|
||
/* If only the private key is given, compute the public key. */
|
||
if (!ec->Q)
|
||
ec->Q = _gcry_ecc_compute_public (NULL, ec);
|
||
|
||
if (!ec->Q)
|
||
return NULL;
|
||
|
||
if (name[1] != '@')
|
||
return _gcry_mpi_ec_ec2os (ec->Q, ec);
|
||
|
||
if (!strcmp (name+2, "eddsa") && ec->model == MPI_EC_EDWARDS)
|
||
{
|
||
unsigned char *encpk;
|
||
unsigned int encpklen;
|
||
|
||
if (!_gcry_ecc_eddsa_encodepoint (ec->Q, ec, NULL, NULL, 0,
|
||
&encpk, &encpklen))
|
||
return mpi_set_opaque (NULL, encpk, encpklen*8);
|
||
}
|
||
}
|
||
|
||
return NULL;
|
||
}
|
||
|
||
|
||
/* Return a point described by NAME and the context EC. */
|
||
gcry_mpi_point_t
|
||
_gcry_ecc_get_point (const char *name, mpi_ec_t ec)
|
||
{
|
||
if (!strcmp (name, "g") && ec->G)
|
||
return point_copy (ec->G);
|
||
if (!strcmp (name, "q"))
|
||
{
|
||
/* If only the private key is given, compute the public key. */
|
||
if (!ec->Q)
|
||
ec->Q = _gcry_ecc_compute_public (NULL, ec);
|
||
|
||
if (ec->Q)
|
||
return point_copy (ec->Q);
|
||
}
|
||
|
||
return NULL;
|
||
}
|
||
|
||
|
||
/* Store the MPI NEWVALUE into the context EC under NAME. */
|
||
gpg_err_code_t
|
||
_gcry_ecc_set_mpi (const char *name, gcry_mpi_t newvalue, mpi_ec_t ec)
|
||
{
|
||
gpg_err_code_t rc = 0;
|
||
|
||
if (!*name)
|
||
;
|
||
else if (!strcmp (name, "p"))
|
||
{
|
||
mpi_free (ec->p);
|
||
ec->p = mpi_copy (newvalue);
|
||
_gcry_mpi_ec_get_reset (ec);
|
||
}
|
||
else if (!strcmp (name, "a"))
|
||
{
|
||
mpi_free (ec->a);
|
||
ec->a = mpi_copy (newvalue);
|
||
_gcry_mpi_ec_get_reset (ec);
|
||
}
|
||
else if (!strcmp (name, "b"))
|
||
{
|
||
mpi_free (ec->b);
|
||
ec->b = mpi_copy (newvalue);
|
||
}
|
||
else if (!strcmp (name, "n"))
|
||
{
|
||
mpi_free (ec->n);
|
||
ec->n = mpi_copy (newvalue);
|
||
}
|
||
else if (!strcmp (name, "h"))
|
||
{
|
||
mpi_get_ui (&ec->h, newvalue);
|
||
}
|
||
else if (*name == 'q' && (!name[1] || name[1] == '@'))
|
||
{
|
||
if (newvalue)
|
||
{
|
||
if (!ec->Q)
|
||
ec->Q = mpi_point_new (0);
|
||
rc = _gcry_mpi_ec_decode_point (ec->Q, newvalue, ec);
|
||
}
|
||
if (rc || !newvalue)
|
||
{
|
||
_gcry_mpi_point_release (ec->Q);
|
||
ec->Q = NULL;
|
||
}
|
||
/* Note: We assume that Q matches d and thus do not reset d. */
|
||
}
|
||
else if (!strcmp (name, "d"))
|
||
{
|
||
mpi_free (ec->d);
|
||
ec->d = mpi_copy (newvalue);
|
||
if (ec->d)
|
||
{
|
||
/* We need to reset the public key because it may not
|
||
anymore match. */
|
||
_gcry_mpi_point_release (ec->Q);
|
||
ec->Q = NULL;
|
||
}
|
||
}
|
||
else
|
||
rc = GPG_ERR_UNKNOWN_NAME;
|
||
|
||
return rc;
|
||
}
|
||
|
||
|
||
/* Store the point NEWVALUE into the context EC under NAME. */
|
||
gpg_err_code_t
|
||
_gcry_ecc_set_point (const char *name, gcry_mpi_point_t newvalue, mpi_ec_t ec)
|
||
{
|
||
if (!strcmp (name, "g"))
|
||
{
|
||
_gcry_mpi_point_release (ec->G);
|
||
ec->G = point_copy (newvalue);
|
||
}
|
||
else if (!strcmp (name, "q"))
|
||
{
|
||
_gcry_mpi_point_release (ec->Q);
|
||
ec->Q = point_copy (newvalue);
|
||
}
|
||
else
|
||
return GPG_ERR_UNKNOWN_NAME;
|
||
|
||
return 0;
|
||
}
|