diff --git a/cipher/ecc-curves.c b/cipher/ecc-curves.c index 142656ad..a1530a57 100644 --- a/cipher/ecc-curves.c +++ b/cipher/ecc-curves.c @@ -1,1395 +1,1395 @@ /* ecc-curves.c - Elliptic Curve parameter mangement * Copyright (C) 2007, 2008, 2010, 2011 Free Software Foundation, Inc. * Copyright (C) 2013 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "mpi-internal.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "pubkey-internal.h" #include "ecc-common.h" /* This tables defines aliases for curve names. */ static const struct { const char *name; /* Our name. */ const char *other; /* Other name. */ } curve_aliases[] = { { "Curve25519", "1.3.6.1.4.1.3029.1.5.1" }, /* OpenPGP */ { "Ed25519", "1.3.6.1.4.1.11591.15.1" }, /* OpenPGP */ #if 0 /* FIXME: We have a naming issue here. RFC-8032 says that its * Ed25519 is the pureEdDSA, that is w.o. the SHA512 prehasing we * use in OpenPGP. */ { "Ed25519", "1.3.101.112" }, /* rfc8410 */ { "Ed448", "1.3.101.113" }, /* rfc8410 */ { "X22519", "1.3.101.110" }, /* rfc8410 */ #endif { "X448", "1.3.101.111" }, /* rfc8410 */ { "NIST P-192", "1.2.840.10045.3.1.1" }, /* X9.62 OID */ { "NIST P-192", "prime192v1" }, /* X9.62 name. */ { "NIST P-192", "secp192r1" }, /* SECP name. */ { "NIST P-192", "nistp192" }, /* rfc5656. */ { "NIST P-224", "secp224r1" }, { "NIST P-224", "1.3.132.0.33" }, /* SECP OID. */ { "NIST P-224", "nistp224" }, /* rfc5656. */ { "NIST P-256", "1.2.840.10045.3.1.7" }, /* From NIST SP 800-78-1. */ { "NIST P-256", "prime256v1" }, { "NIST P-256", "secp256r1" }, { "NIST P-256", "nistp256" }, /* rfc5656. */ { "NIST P-384", "secp384r1" }, { "NIST P-384", "1.3.132.0.34" }, { "NIST P-384", "nistp384" }, /* rfc5656. */ { "NIST P-521", "secp521r1" }, { "NIST P-521", "1.3.132.0.35" }, { "NIST P-521", "nistp521" }, /* rfc5656. */ { "brainpoolP160r1", "1.3.36.3.3.2.8.1.1.1" }, { "brainpoolP192r1", "1.3.36.3.3.2.8.1.1.3" }, { "brainpoolP224r1", "1.3.36.3.3.2.8.1.1.5" }, { "brainpoolP256r1", "1.3.36.3.3.2.8.1.1.7" }, { "brainpoolP320r1", "1.3.36.3.3.2.8.1.1.9" }, { "brainpoolP384r1", "1.3.36.3.3.2.8.1.1.11"}, { "brainpoolP512r1", "1.3.36.3.3.2.8.1.1.13"}, { "GOST2001-test", "1.2.643.2.2.35.0" }, { "GOST2001-CryptoPro-A", "1.2.643.2.2.35.1" }, { "GOST2001-CryptoPro-B", "1.2.643.2.2.35.2" }, { "GOST2001-CryptoPro-C", "1.2.643.2.2.35.3" }, { "GOST2001-CryptoPro-A", "GOST2001-CryptoPro-XchA" }, { "GOST2001-CryptoPro-C", "GOST2001-CryptoPro-XchB" }, { "GOST2001-CryptoPro-A", "1.2.643.2.2.36.0" }, { "GOST2001-CryptoPro-C", "1.2.643.2.2.36.1" }, { "GOST2012-tc26-A", "1.2.643.7.1.2.1.2.1" }, { "GOST2012-tc26-B", "1.2.643.7.1.2.1.2.2" }, { "secp256k1", "1.3.132.0.10" }, { NULL, NULL} }; typedef struct { const char *desc; /* Description of the curve. */ unsigned int nbits; /* Number of bits. */ unsigned int fips:1; /* True if this is a FIPS140-2 approved curve. */ /* The model describing this curve. This is mainly used to select the group equation. */ enum gcry_mpi_ec_models model; /* The actual ECC dialect used. This is used for curve specific optimizations and to select encodings etc. */ enum ecc_dialects dialect; const char *p; /* The prime defining the field. */ const char *a, *b; /* The coefficients. For Twisted Edwards Curves b is used for d. For Montgomery Curves (a,b) has ((A-2)/4,B^-1). */ const char *n; /* The order of the base point. */ const char *g_x, *g_y; /* Base point. */ const char *h; /* Cofactor. */ } ecc_domain_parms_t; /* This static table defines all available curves. */ static const ecc_domain_parms_t domain_parms[] = { { /* (-x^2 + y^2 = 1 + dx^2y^2) */ "Ed25519", 256, 0, MPI_EC_EDWARDS, ECC_DIALECT_ED25519, "0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED", "-0x01", "-0x2DFC9311D490018C7338BF8688861767FF8FF5B2BEBE27548A14B235ECA6874A", "0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED", "0x216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A", "0x6666666666666666666666666666666666666666666666666666666666666658", "0x08" }, { /* (y^2 = x^3 + 486662*x^2 + x) */ "Curve25519", 256, 0, MPI_EC_MONTGOMERY, ECC_DIALECT_STANDARD, "0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFED", "0x01DB41", "0x01", "0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED", "0x0000000000000000000000000000000000000000000000000000000000000009", "0x20AE19A1B8A086B4E01EDD2C7748D14C923D4D7E6D7C61B229E9C5A27ECED3D9", "0x08" /* Note: As per RFC-7748 errata eid4730 the g_y value should be * "0x5F51E65E475F794B1FE122D388B72EB36DC2B28192839E4DD6163A5D81312C14" * but that breaks the keygrip. The new value is recovered in * the function _gcry_ecc_fill_in_curve. */ }, { /* (y^2 = x^3 + 156326*x^2 + x) */ "X448", 448, 0, - MPI_EC_MONTGOMERY, ECC_DIALECT_STANDARD, + MPI_EC_MONTGOMERY, ECC_DIALECT_SAFECURVE, "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "0x98A9", "0x01", "0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3", "0x00000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000005", "0x7D235D1295F5B1F66C98AB6E58326FCECBAE5D34F55545D060F75DC2" "8DF3F6EDB8027E2346430D211312C4B150677AF76FD7223D457B5B1A", "0x04" }, #if 0 /* No real specs yet found. */ { /* x^2 + y^2 = 1 + 3617x^2y^2 mod 2^414 - 17 */ "Curve3617", "0x3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF", MPI_EC_EDWARDS, 0, "0x01", "0x0e21", "0x07FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEB3CC92414CF" "706022B36F1C0338AD63CF181B0E71A5E106AF79", "0x1A334905141443300218C0631C326E5FCD46369F44C03EC7F57FF35498A4AB4D" "6D6BA111301A73FAA8537C64C4FD3812F3CBC595", "0x22", "0x08" }, #endif /*0*/ { "NIST P-192", 192, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xfffffffffffffffffffffffffffffffeffffffffffffffff", "0xfffffffffffffffffffffffffffffffefffffffffffffffc", "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", "0xffffffffffffffffffffffff99def836146bc9b1b4d22831", "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811", "0x01" }, { "NIST P-224", 224, 1, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xffffffffffffffffffffffffffffffff000000000000000000000001", "0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe", "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4", "0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d" , "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", "0x01" }, { "NIST P-256", 256, 1, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff", "0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc", "0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", "0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", "0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", "0x01" }, { "NIST P-384", 384, 1, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe" "ffffffff0000000000000000ffffffff", "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe" "ffffffff0000000000000000fffffffc", "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875a" "c656398d8a2ed19d2a85c8edd3ec2aef", "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf" "581a0db248b0a77aecec196accc52973", "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a38" "5502f25dbf55296c3a545e3872760ab7", "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c0" "0a60b1ce1d7e819d7a431d7c90ea0e5f", "0x01" }, { "NIST P-521", 521, 1, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", "0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef10" "9e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "ffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", "0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d" "3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", "0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e" "662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", "0x01" }, { "brainpoolP160r1", 160, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xe95e4a5f737059dc60dfc7ad95b3d8139515620f", "0x340e7be2a280eb74e2be61bada745d97e8f7c300", "0x1e589a8595423412134faa2dbdec95c8d8675e58", "0xe95e4a5f737059dc60df5991d45029409e60fc09", "0xbed5af16ea3f6a4f62938c4631eb5af7bdbcdbc3", "0x1667cb477a1a8ec338f94741669c976316da6321", "0x01" }, { "brainpoolP192r1", 192, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xc302f41d932a36cda7a3463093d18db78fce476de1a86297", "0x6a91174076b1e0e19c39c031fe8685c1cae040e5c69a28ef", "0x469a28ef7c28cca3dc721d044f4496bcca7ef4146fbf25c9", "0xc302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1", "0xc0a0647eaab6a48753b033c56cb0f0900a2f5c4853375fd6", "0x14b690866abd5bb88b5f4828c1490002e6773fa2fa299b8f", "0x01" }, { "brainpoolP224r1", 224, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff", "0x68a5e62ca9ce6c1c299803a6c1530b514e182ad8b0042a59cad29f43", "0x2580f63ccfe44138870713b1a92369e33e2135d266dbb372386c400b", "0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f", "0x0d9029ad2c7e5cf4340823b2a87dc68c9e4ce3174c1e6efdee12c07d", "0x58aa56f772c0726f24c6b89e4ecdac24354b9e99caa3f6d3761402cd", "0x01" }, { "brainpoolP256r1", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377", "0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9", "0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6", "0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7", "0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262", "0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997", "0x01" }, { "brainpoolP320r1", 320, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28" "fcd412b1f1b32e27", "0x3ee30b568fbab0f883ccebd46d3f3bb8a2a73513f5eb79da66190eb085ffa9f4" "92f375a97d860eb4", "0x520883949dfdbc42d3ad198640688a6fe13f41349554b49acc31dccd88453981" "6f5eb4ac8fb1f1a6", "0xd35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e9" "8691555b44c59311", "0x43bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c7" "10af8d0d39e20611", "0x14fdd05545ec1cc8ab4093247f77275e0743ffed117182eaa9c77877aaac6ac7" "d35245d1692e8ee1", "0x01" }, { "brainpoolP384r1", 384, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123" "acd3a729901d1a71874700133107ec53", "0x7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f" "8aa5814a503ad4eb04a8c7dd22ce2826", "0x04a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d5" "7cb4390295dbc9943ab78696fa504c11", "0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7" "cf3ab6af6b7fc3103b883202e9046565", "0x1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8" "e826e03436d646aaef87b2e247d4af1e", "0x8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff9912928" "0e4646217791811142820341263c5315", "0x01" }, { "brainpoolP512r1", 512, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330871" "7d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3", "0x7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc" "2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca", "0x3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a7" "2bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723", "0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870" "553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069", "0x81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098e" "ff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822", "0x7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111" "b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892", "0x01" }, { "GOST2001-test", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x8000000000000000000000000000000000000000000000000000000000000431", "0x0000000000000000000000000000000000000000000000000000000000000007", "0x5fbff498aa938ce739b8e022fbafef40563f6e6a3472fc2a514c0ce9dae23b7e", "0x8000000000000000000000000000000150fe8a1892976154c59cfc193accf5b3", "0x0000000000000000000000000000000000000000000000000000000000000002", "0x08e2a8a0e65147d4bd6316030e16d19c85c97f0a9ca267122b96abbcea7e8fc8", "0x01" }, { "GOST2001-CryptoPro-A", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97", "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd94", "0x00000000000000000000000000000000000000000000000000000000000000a6", "0xffffffffffffffffffffffffffffffff6c611070995ad10045841b09b761b893", "0x0000000000000000000000000000000000000000000000000000000000000001", "0x8d91e471e0989cda27df505a453f2b7635294f2ddf23e3b122acc99c9e9f1e14", "0x01" }, { "GOST2001-CryptoPro-B", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x8000000000000000000000000000000000000000000000000000000000000c99", "0x8000000000000000000000000000000000000000000000000000000000000c96", "0x3e1af419a269a5f866a7d3c25c3df80ae979259373ff2b182f49d4ce7e1bbc8b", "0x800000000000000000000000000000015f700cfff1a624e5e497161bcc8a198f", "0x0000000000000000000000000000000000000000000000000000000000000001", "0x3fa8124359f96680b83d1c3eb2c070e5c545c9858d03ecfb744bf8d717717efc", "0x01" }, { "GOST2001-CryptoPro-C", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b", "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598", "0x000000000000000000000000000000000000000000000000000000000000805a", "0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67", "0x01" }, { "GOST2012-test", 511, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x4531acd1fe0023c7550d267b6b2fee80922b14b2ffb90f04d4eb7c09b5d2d15d" "f1d852741af4704a0458047e80e4546d35b8336fac224dd81664bbf528be6373", "0x0000000000000000000000000000000000000000000000000000000000000007", "0x1cff0806a31116da29d8cfa54e57eb748bc5f377e49400fdd788b649eca1ac4" "361834013b2ad7322480a89ca58e0cf74bc9e540c2add6897fad0a3084f302adc", "0x4531acd1fe0023c7550d267b6b2fee80922b14b2ffb90f04d4eb7c09b5d2d15d" "a82f2d7ecb1dbac719905c5eecc423f1d86e25edbe23c595d644aaf187e6e6df", "0x24d19cc64572ee30f396bf6ebbfd7a6c5213b3b3d7057cc825f91093a68cd762" "fd60611262cd838dc6b60aa7eee804e28bc849977fac33b4b530f1b120248a9a", "0x2bb312a43bd2ce6e0d020613c857acddcfbf061e91e5f2c3f32447c259f39b2" "c83ab156d77f1496bf7eb3351e1ee4e43dc1a18b91b24640b6dbb92cb1add371e", "0x01" }, { "GOST2012-tc26-A", 512, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7", "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc4", "0xe8c2505dedfc86ddc1bd0b2b6667f1da34b82574761cb0e879bd081cfd0b6265" "ee3cb090f30d27614cb4574010da90dd862ef9d4ebee4761503190785a71c760", "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" "27e69532f48d89116ff22b8d4e0560609b4b38abfad2b85dcacdb1411f10b275", "0x0000000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000003", "0x7503cfe87a836ae3a61b8816e25450e6ce5e1c93acf1abc1778064fdcbefa921" "df1626be4fd036e93d75e6a50e3a41e98028fe5fc235f5b889a589cb5215f2a4", "0x01" }, { "GOST2012-tc26-B", 512, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0x8000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000006f", "0x8000000000000000000000000000000000000000000000000000000000000000" "000000000000000000000000000000000000000000000000000000000000006c", "0x687d1b459dc841457e3e06cf6f5e2517b97c7d614af138bcbf85dc806c4b289f" "3e965d2db1416d217f8b276fad1ab69c50f78bee1fa3106efb8ccbc7c5140116", "0x8000000000000000000000000000000000000000000000000000000000000001" "49a1ec142565a545acfdb77bd9d40cfa8b996712101bea0ec6346c54374f25bd", "0x0000000000000000000000000000000000000000000000000000000000000000" "0000000000000000000000000000000000000000000000000000000000000002", "0x1a8f7eda389b094c2c071e3647a8940f3c123b697578c213be6dd9e6c8ec7335" "dcb228fd1edf4a39152cbcaaf8c0398828041055f94ceeec7e21340780fe41bd", "0x01" }, { "secp256k1", 256, 0, MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", "0x0000000000000000000000000000000000000000000000000000000000000000", "0x0000000000000000000000000000000000000000000000000000000000000007", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", "0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", "0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", "0x01" }, { 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->h) curve->h = scanval (domain_parms[idx].h); 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); /* * 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, N, and H 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, gcry_mpi_t *h) { 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); } if (h) { _gcry_mpi_release (*h); *h = scanval (domain_parms[idx].h); } 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_t mpi_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, "-pabgnh", &E.p, &E.a, &E.b, &mpi_g, &E.n, &E.h, 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; if (mpi_g) { _gcry_mpi_point_init (&E.G); if (_gcry_ecc_os2ec (&E.G, mpi_g)) goto leave; } for (idx = 0; domain_parms[idx].desc; idx++) { mpi_free (tmp); tmp = scanval (domain_parms[idx].p); if (!mpi_cmp (tmp, E.p)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].a); if (!mpi_cmp (tmp, E.a)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].b); if (!mpi_cmp (tmp, E.b)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].n); if (!mpi_cmp (tmp, E.n)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].h); if (!mpi_cmp (tmp, E.h)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].g_x); if (!mpi_cmp (tmp, E.G.x)) { mpi_free (tmp); tmp = scanval (domain_parms[idx].g_y); if (!mpi_cmp (tmp, E.G.y)) { result = domain_parms[idx].desc; if (r_nbits) *r_nbits = domain_parms[idx].nbits; goto leave; } } } } } } } } leave: _gcry_mpi_release (tmp); _gcry_mpi_release (E.p); _gcry_mpi_release (E.a); _gcry_mpi_release (E.b); _gcry_mpi_release (mpi_g); _gcry_mpi_point_free_parts (&E.G); _gcry_mpi_release (E.n); _gcry_mpi_release (E.h); 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) { 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, 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); if (rc) { xfree (tmpname); return rc; } strcpy (stpcpy (tmpname, name), ".y"); rc = mpi_from_keyparam (&y, keyparam, tmpname); if (rc) { mpi_free (x); xfree (tmpname); return rc; } strcpy (stpcpy (tmpname, name), ".z"); rc = mpi_from_keyparam (&z, keyparam, tmpname); 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; } /* 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; gcry_ctx_t ctx = NULL; enum gcry_mpi_ec_models model = MPI_EC_WEIERSTRASS; enum ecc_dialects dialect = ECC_DIALECT_STANDARD; gcry_mpi_t p = NULL; gcry_mpi_t a = NULL; gcry_mpi_t b = NULL; gcry_mpi_point_t G = NULL; gcry_mpi_t n = NULL; gcry_mpi_t h = NULL; gcry_mpi_point_t Q = NULL; gcry_mpi_t d = NULL; int flags = 0; gcry_sexp_t l1; *r_ctx = NULL; if (keyparam) { /* Parse an optional flags list. */ l1 = sexp_find_token (keyparam, "flags", 0); if (l1) { errc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); sexp_release (l1); l1 = NULL; if (errc) goto leave; } /* 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 || (flags & PUBKEY_FLAG_PARAM)) { errc = mpi_from_keyparam (&p, keyparam, "p"); if (errc) goto leave; errc = mpi_from_keyparam (&a, keyparam, "a"); if (errc) goto leave; errc = mpi_from_keyparam (&b, keyparam, "b"); if (errc) goto leave; errc = point_from_keyparam (&G, keyparam, "g", NULL); if (errc) goto leave; errc = mpi_from_keyparam (&n, keyparam, "n"); if (errc) goto leave; errc = mpi_from_keyparam (&h, keyparam, "h"); if (errc) goto leave; } } 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) { char *name; elliptic_curve_t *E; 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; E = xtrycalloc (1, sizeof *E); if (!E) { errc = gpg_err_code_from_syserror (); xfree (name); goto leave; } errc = _gcry_ecc_fill_in_curve (0, name? name : curvename, E, NULL); xfree (name); if (errc) { xfree (E); goto leave; } model = E->model; dialect = E->dialect; if (!p) { p = E->p; E->p = NULL; } if (!a) { a = E->a; E->a = NULL; } if (!b) { b = E->b; E->b = NULL; } if (!G) { 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; } if (!n) { n = E->n; E->n = NULL; } if (!h) { h = E->h; E->h = NULL; } _gcry_ecc_curve_free (E); xfree (E); } errc = _gcry_mpi_ec_p_new (&ctx, model, dialect, flags, p, a, b); if (!errc) { mpi_ec_t ec = _gcry_ctx_get_pointer (ctx, CONTEXT_TYPE_EC); if (b) { mpi_free (ec->b); ec->b = b; b = NULL; } if (G) { ec->G = G; G = NULL; } if (n) { ec->n = n; n = NULL; } if (h) { ec->h = h; h = NULL; } /* 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) { errc = point_from_keyparam (&Q, keyparam, "q", ec); if (errc) goto leave; errc = mpi_from_keyparam (&d, keyparam, "d"); if (errc) goto leave; } if (Q) { ec->Q = Q; Q = NULL; } if (d) { ec->d = d; d = NULL; } *r_ctx = ctx; ctx = NULL; } leave: _gcry_ctx_release (ctx); mpi_free (p); mpi_free (a); mpi_free (b); _gcry_mpi_point_release (G); mpi_free (n); mpi_free (h); _gcry_mpi_point_release (Q); mpi_free (d); 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[7]; 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 (MPI_EC_WEIERSTRASS, ECC_DIALECT_STANDARD, 0, E.p, E.a, NULL); 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; pkey[5] = E.h; pkey[6] = NULL; 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%m)))", pkey[0], pkey[1], pkey[2], pkey[3], pkey[4], pkey[5])) result = NULL; for (i=0; pkey[i]; 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") && ec->h) return mpi_is_const (ec->h) && !copy? ec->h : mpi_copy (ec->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, NULL, NULL); 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, NULL, NULL); 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_free (ec->h); ec->h = mpi_copy (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; } diff --git a/cipher/ecc-ecdh.c b/cipher/ecc-ecdh.c index fcf5b883..1caea1f2 100644 --- a/cipher/ecc-ecdh.c +++ b/cipher/ecc-ecdh.c @@ -1,141 +1,145 @@ /* ecc-ecdh.c - Elliptic Curve Diffie-Hellman key agreement * Copyright (C) 2019 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with this program; if not, see . * SPDX-License-Identifier: LGPL-2.1+ */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "ecc-common.h" #define ECC_CURVE25519_BITS 256 #define ECC_CURVE448_BITS 448 static mpi_ec_t prepare_ec (const char *curve_name, elliptic_curve_t *E) { mpi_ec_t ec; + int flags = 0; memset (E, 0, sizeof *E); if (_gcry_ecc_fill_in_curve (0, curve_name, E, NULL)) return NULL; + if (E->dialect != ECC_DIALECT_SAFECURVE) + flags = PUBKEY_FLAG_DJB_TWEAK; + ec = _gcry_mpi_ec_p_internal_new (E->model, E->dialect, - PUBKEY_FLAG_DJB_TWEAK, E->p, E->a, E->b); + flags, E->p, E->a, E->b); return ec; } unsigned int _gcry_ecc_get_algo_keylen (int algo) { unsigned int len = 0; if (algo == GCRY_ECC_CURVE25519) len = ECC_CURVE25519_BITS/8; else if (algo == GCRY_ECC_CURVE448) len = ECC_CURVE448_BITS/8; return len; } gpg_error_t _gcry_ecc_mul_point (int algo, unsigned char *result, const unsigned char *scalar, const unsigned char *point) { unsigned int nbits; unsigned int nbytes; const char *curve; gpg_err_code_t err; elliptic_curve_t E; unsigned char buffer[ECC_CURVE448_BITS/8]; gcry_mpi_t mpi_k; mpi_ec_t ec; gcry_mpi_t mpi_u; mpi_point_t Q; gcry_mpi_t x; unsigned int len; int i; unsigned char *buf; if (algo == GCRY_ECC_CURVE25519) { nbits = ECC_CURVE25519_BITS; curve = "Curve25519"; } else if (algo == GCRY_ECC_CURVE448) { nbits = ECC_CURVE448_BITS; curve = "X448"; } else return gpg_error (GPG_ERR_UNKNOWN_ALGORITHM); nbytes = nbits / 8; mpi_k = mpi_new (nbits); ec = prepare_ec (curve, &E); mpi_u = mpi_new (nbits); Q = mpi_point_new (nbits); x = mpi_new (nbits); memcpy (buffer, scalar, nbytes); reverse_buffer (buffer, nbytes); _gcry_mpi_set_buffer (mpi_k, buffer, nbytes, 0); for (i = 0; i < mpi_get_nbits (E.h) - 1; i++) mpi_clear_bit (mpi_k, i); mpi_set_highbit (mpi_k, mpi_get_nbits (E.p) - 1); if (point) { mpi_point_t P = mpi_point_new (nbits); _gcry_mpi_set_buffer (mpi_u, point, nbytes, 0); err = _gcry_ecc_mont_decodepoint (mpi_u, ec, P); _gcry_mpi_release (mpi_u); if (err) goto leave; _gcry_mpi_ec_mul_point (Q, mpi_k, P, ec); _gcry_mpi_point_release (P); } else _gcry_mpi_ec_mul_point (Q, mpi_k, &E.G, ec); _gcry_mpi_ec_get_affine (x, NULL, Q, ec); buf = _gcry_mpi_get_buffer (x, nbytes, &len, NULL); if (!buf) err = gpg_error_from_syserror (); memcpy (result, buf, nbytes); xfree (buf); leave: _gcry_mpi_release (x); _gcry_mpi_point_release (Q); _gcry_mpi_release (mpi_k); return err; } diff --git a/cipher/ecc-misc.c b/cipher/ecc-misc.c index 04fa7ddd..0a4fef15 100644 --- a/cipher/ecc-misc.c +++ b/cipher/ecc-misc.c @@ -1,370 +1,371 @@ /* ecc-misc.c - Elliptic Curve miscellaneous functions * Copyright (C) 2007, 2008, 2010, 2011 Free Software Foundation, Inc. * Copyright (C) 2013 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "ecc-common.h" /* * Release a curve object. */ void _gcry_ecc_curve_free (elliptic_curve_t *E) { mpi_free (E->p); E->p = NULL; mpi_free (E->a); E->a = NULL; mpi_free (E->b); E->b = NULL; _gcry_mpi_point_free_parts (&E->G); mpi_free (E->n); E->n = NULL; mpi_free (E->h); E->h = NULL; } /* * Return a copy of a curve object. */ elliptic_curve_t _gcry_ecc_curve_copy (elliptic_curve_t E) { elliptic_curve_t R; R.model = E.model; R.dialect = E.dialect; R.name = E.name; R.p = mpi_copy (E.p); R.a = mpi_copy (E.a); R.b = mpi_copy (E.b); _gcry_mpi_point_init (&R.G); point_set (&R.G, &E.G); R.n = mpi_copy (E.n); R.h = mpi_copy (E.h); return R; } /* * Return a description of the curve model. */ const char * _gcry_ecc_model2str (enum gcry_mpi_ec_models model) { const char *str = "?"; switch (model) { case MPI_EC_WEIERSTRASS: str = "Weierstrass"; break; case MPI_EC_MONTGOMERY: str = "Montgomery"; break; case MPI_EC_EDWARDS: str = "Edwards"; break; } return str; } /* * Return a description of the curve dialect. */ const char * _gcry_ecc_dialect2str (enum ecc_dialects dialect) { const char *str = "?"; switch (dialect) { case ECC_DIALECT_STANDARD: str = "Standard"; break; case ECC_DIALECT_ED25519: str = "Ed25519"; break; + case ECC_DIALECT_SAFECURVE: str = "SafeCurve"; break; } return str; } gcry_mpi_t _gcry_ecc_ec2os (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t p) { gpg_err_code_t rc; int pbytes = (mpi_get_nbits (p)+7)/8; size_t n; unsigned char *buf, *ptr; gcry_mpi_t result; buf = xmalloc ( 1 + 2*pbytes ); *buf = 04; /* Uncompressed point. */ ptr = buf+1; rc = _gcry_mpi_print (GCRYMPI_FMT_USG, ptr, pbytes, &n, x); if (rc) log_fatal ("mpi_print failed: %s\n", gpg_strerror (rc)); if (n < pbytes) { memmove (ptr+(pbytes-n), ptr, n); memset (ptr, 0, (pbytes-n)); } ptr += pbytes; rc = _gcry_mpi_print (GCRYMPI_FMT_USG, ptr, pbytes, &n, y); if (rc) log_fatal ("mpi_print failed: %s\n", gpg_strerror (rc)); if (n < pbytes) { memmove (ptr+(pbytes-n), ptr, n); memset (ptr, 0, (pbytes-n)); } rc = _gcry_mpi_scan (&result, GCRYMPI_FMT_USG, buf, 1+2*pbytes, NULL); if (rc) log_fatal ("mpi_scan failed: %s\n", gpg_strerror (rc)); xfree (buf); return result; } /* Convert POINT into affine coordinates using the context CTX and return a newly allocated MPI. If the conversion is not possible NULL is returned. This function won't print an error message. */ gcry_mpi_t _gcry_mpi_ec_ec2os (gcry_mpi_point_t point, mpi_ec_t ectx) { gcry_mpi_t g_x, g_y, result; g_x = mpi_new (0); g_y = mpi_new (0); if (_gcry_mpi_ec_get_affine (g_x, g_y, point, ectx)) result = NULL; else result = _gcry_ecc_ec2os (g_x, g_y, ectx->p); mpi_free (g_x); mpi_free (g_y); return result; } /* RESULT must have been initialized and is set on success to the point given by VALUE. */ gcry_err_code_t _gcry_ecc_os2ec (mpi_point_t result, gcry_mpi_t value) { gcry_err_code_t rc; size_t n; const unsigned char *buf; unsigned char *buf_memory; gcry_mpi_t x, y; if (mpi_is_opaque (value)) { unsigned int nbits; buf = mpi_get_opaque (value, &nbits); if (!buf) return GPG_ERR_INV_OBJ; n = (nbits + 7)/8; buf_memory = NULL; } else { n = (mpi_get_nbits (value)+7)/8; buf_memory = xmalloc (n); rc = _gcry_mpi_print (GCRYMPI_FMT_USG, buf_memory, n, &n, value); if (rc) { xfree (buf_memory); return rc; } buf = buf_memory; } if (n < 1) { xfree (buf_memory); return GPG_ERR_INV_OBJ; } if (*buf != 4) { xfree (buf_memory); return GPG_ERR_NOT_IMPLEMENTED; /* No support for point compression. */ } if ( ((n-1)%2) ) { xfree (buf_memory); return GPG_ERR_INV_OBJ; } n = (n-1)/2; rc = _gcry_mpi_scan (&x, GCRYMPI_FMT_USG, buf+1, n, NULL); if (rc) { xfree (buf_memory); return rc; } rc = _gcry_mpi_scan (&y, GCRYMPI_FMT_USG, buf+1+n, n, NULL); xfree (buf_memory); if (rc) { mpi_free (x); return rc; } mpi_set (result->x, x); mpi_set (result->y, y); mpi_set_ui (result->z, 1); mpi_free (x); mpi_free (y); return 0; } /* Compute the public key from the the context EC. Obviously a requirement is that the secret key is available in EC. On success Q is returned; on error NULL. If Q is NULL a newly allocated point is returned. If G or D are given they override the values taken from EC. */ mpi_point_t _gcry_ecc_compute_public (mpi_point_t Q, mpi_ec_t ec, mpi_point_t G, gcry_mpi_t d) { if (!G) G = ec->G; if (!d) d = ec->d; if (!d || !G || !ec->p || !ec->a) return NULL; if (ec->model == MPI_EC_EDWARDS && !ec->b) return NULL; if (ec->dialect == ECC_DIALECT_ED25519 && (ec->flags & PUBKEY_FLAG_EDDSA)) { gcry_mpi_t a; unsigned char *digest; if (_gcry_ecc_eddsa_compute_h_d (&digest, d, ec)) return NULL; a = mpi_snew (0); _gcry_mpi_set_buffer (a, digest, 32, 0); xfree (digest); /* And finally the public key. */ if (!Q) Q = mpi_point_new (0); if (Q) _gcry_mpi_ec_mul_point (Q, a, G, ec); mpi_free (a); } else { if (!Q) Q = mpi_point_new (0); if (Q) _gcry_mpi_ec_mul_point (Q, d, G, ec); } return Q; } gpg_err_code_t _gcry_ecc_mont_decodepoint (gcry_mpi_t pk, mpi_ec_t ctx, mpi_point_t result) { unsigned char *rawmpi; unsigned int rawmpilen; if (mpi_is_opaque (pk)) { const unsigned char *buf; unsigned char *p; buf = mpi_get_opaque (pk, &rawmpilen); if (!buf) return GPG_ERR_INV_OBJ; rawmpilen = (rawmpilen + 7)/8; if (rawmpilen > 1 && (rawmpilen%2) && buf[0] == 0x40) { rawmpilen--; buf++; } rawmpi = xtrymalloc (rawmpilen? rawmpilen:1); if (!rawmpi) return gpg_err_code_from_syserror (); p = rawmpi + rawmpilen; while (p > rawmpi) *--p = *buf++; } else { unsigned int nbytes = (ctx->nbits+7)/8; rawmpi = _gcry_mpi_get_buffer (pk, nbytes, &rawmpilen, NULL); if (!rawmpi) return gpg_err_code_from_syserror (); /* * It is not reliable to assume that 0x40 means the prefix. * * For newer implementation, it is reliable since we always put * 0x40 for x-only coordinate. * * For data with older implementation (non-released development * version), it is possible to have the 0x40 as a part of data. * Besides, when data was parsed as MPI, we might have 0x00 * prefix. * * So, we need to check if it's really the prefix or not. * Only when it's the prefix, we remove it. */ if (pk->nlimbs * BYTES_PER_MPI_LIMB < nbytes) {/* * It is possible for data created by older implementation * to have shorter length when it was parsed as MPI. */ unsigned int len = pk->nlimbs * BYTES_PER_MPI_LIMB; memmove (rawmpi + nbytes - len, rawmpi, len); memset (rawmpi, 0, nbytes - len); } /* * When we have the prefix (0x40 or 0x00), it comes at the end, * since it is taken by _gcry_mpi_get_buffer with little endian. * Just setting RAWMPILEN to NBYTES is enough in this case. * Othewise, RAWMPILEN is NBYTES already. */ rawmpilen = nbytes; } if ((ctx->nbits % 8)) rawmpi[0] &= (1 << (ctx->nbits % 8)) - 1; _gcry_mpi_set_buffer (result->x, rawmpi, rawmpilen, 0); xfree (rawmpi); mpi_set_ui (result->z, 1); return 0; } diff --git a/cipher/ecc.c b/cipher/ecc.c index 59837bc5..6bf1aee7 100644 --- a/cipher/ecc.c +++ b/cipher/ecc.c @@ -1,2281 +1,2291 @@ /* ecc.c - Elliptic Curve Cryptography * Copyright (C) 2007, 2008, 2010, 2011 Free Software Foundation, Inc. * Copyright (C) 2013, 2015 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ /* This code is originally based on the Patch 0.1.6 for the gnupg 1.4.x branch as retrieved on 2007-03-21 from http://www.calcurco.cat/eccGnuPG/src/gnupg-1.4.6-ecc0.2.0beta1.diff.bz2 The original authors are: Written by Sergi Blanch i Torne , Ramiro Moreno Chiral Maintainers Sergi Blanch i Torne Ramiro Moreno Chiral Mikael Mylnikov (mmr) For use in Libgcrypt the code has been heavily modified and cleaned up. In fact there is not much left of the originally code except for some variable names and the text book implementaion of the sign and verification algorithms. The arithmetic functions have entirely been rewritten and moved to mpi/ec.c. ECDH encrypt and decrypt code written by Andrey Jivsov. */ /* TODO: - In mpi/ec.c we use mpi_powm for x^2 mod p: Either implement a special case in mpi_powm or check whether mpi_mulm is faster. */ #include #include #include #include #include #include "g10lib.h" #include "mpi.h" #include "cipher.h" #include "context.h" #include "ec-context.h" #include "pubkey-internal.h" #include "ecc-common.h" static const char *ecc_names[] = { "ecc", "ecdsa", "ecdh", "eddsa", "gost", NULL, }; /* Sample NIST P-256 key from RFC 6979 A.2.5 */ static const char sample_public_key_secp256[] = "(public-key" " (ecc" " (curve secp256r1)" " (q #04" /**/ "60FED4BA255A9D31C961EB74C6356D68C049B8923B61FA6CE669622E60F29FB6" /**/ "7903FE1008B8BC99A41AE9E95628BC64F2F1B20C2D7E9F5177A3C294D4462299#)))"; static const char sample_secret_key_secp256[] = "(private-key" " (ecc" " (curve secp256r1)" " (d #C9AFA9D845BA75166B5C215767B1D6934E50C3DB36E89B127B8A622B120F6721#)" " (q #04" /**/ "60FED4BA255A9D31C961EB74C6356D68C049B8923B61FA6CE669622E60F29FB6" /**/ "7903FE1008B8BC99A41AE9E95628BC64F2F1B20C2D7E9F5177A3C294D4462299#)))"; /* Registered progress function and its callback value. */ static void (*progress_cb) (void *, const char*, int, int, int); static void *progress_cb_data; /* Local prototypes. */ static void test_keys (ECC_secret_key * sk, unsigned int nbits); static void test_ecdh_only_keys (ECC_secret_key * sk, unsigned int nbits, int flags); static unsigned int ecc_get_nbits (gcry_sexp_t parms); void _gcry_register_pk_ecc_progress (void (*cb) (void *, const char *, int, int, int), void *cb_data) { progress_cb = cb; progress_cb_data = cb_data; } /* static void */ /* progress (int c) */ /* { */ /* if (progress_cb) */ /* progress_cb (progress_cb_data, "pk_ecc", c, 0, 0); */ /* } */ /** * nist_generate_key - Standard version of the ECC key generation. * @sk: A struct to receive the secret key. * @E: Parameters of the curve. * @ctx: Elliptic curve computation context. * @flags: Flags controlling aspects of the creation. * @nbits: Only for testing * @r_x: On success this receives an allocated MPI with the affine * x-coordinate of the poblic key. On error NULL is stored. * @r_y: Ditto for the y-coordinate. * * Return: An error code. * * The @flags bits used by this function are %PUBKEY_FLAG_TRANSIENT to * use a faster RNG, and %PUBKEY_FLAG_NO_KEYTEST to skip the assertion * that the key works as expected. * * FIXME: Check whether N is needed. */ static gpg_err_code_t nist_generate_key (ECC_secret_key *sk, elliptic_curve_t *E, mpi_ec_t ctx, int flags, unsigned int nbits, gcry_mpi_t *r_x, gcry_mpi_t *r_y) { mpi_point_struct Q; gcry_random_level_t random_level; gcry_mpi_t x, y; const unsigned int pbits = mpi_get_nbits (E->p); point_init (&Q); if ((flags & PUBKEY_FLAG_TRANSIENT_KEY)) random_level = GCRY_STRONG_RANDOM; else random_level = GCRY_VERY_STRONG_RANDOM; /* Generate a secret. */ - if (ctx->dialect == ECC_DIALECT_ED25519 || (flags & PUBKEY_FLAG_DJB_TWEAK)) + if (ctx->dialect == ECC_DIALECT_ED25519 + || ctx->dialect == ECC_DIALECT_SAFECURVE + || (flags & PUBKEY_FLAG_DJB_TWEAK)) { char *rndbuf; int len = (pbits+7)/8; unsigned int h; mpi_get_ui (&h, E->h); sk->d = mpi_snew (pbits); rndbuf = _gcry_random_bytes_secure (len, random_level); if ((pbits % 8)) rndbuf[0] &= (1 << (pbits % 8)) - 1; rndbuf[0] |= (1 << ((pbits + 7) % 8)); rndbuf[(pbits-1)/8] &= (256 - h); _gcry_mpi_set_buffer (sk->d, rndbuf, len, 0); xfree (rndbuf); } else sk->d = _gcry_dsa_gen_k (E->n, random_level); /* Compute Q. */ _gcry_mpi_ec_mul_point (&Q, sk->d, &E->G, ctx); /* Copy the stuff to the key structures. */ sk->E.model = E->model; sk->E.dialect = E->dialect; sk->E.p = mpi_copy (E->p); sk->E.a = mpi_copy (E->a); sk->E.b = mpi_copy (E->b); point_init (&sk->E.G); point_set (&sk->E.G, &E->G); sk->E.n = mpi_copy (E->n); sk->E.h = mpi_copy (E->h); point_init (&sk->Q); x = mpi_new (pbits); if (r_y == NULL) y = NULL; else y = mpi_new (pbits); if (_gcry_mpi_ec_get_affine (x, y, &Q, ctx)) log_fatal ("ecgen: Failed to get affine coordinates for %s\n", "Q"); /* We want the Q=(x,y) be a "compliant key" in terms of the * http://tools.ietf.org/html/draft-jivsov-ecc-compact, which simply * means that we choose either Q=(x,y) or -Q=(x,p-y) such that we * end up with the min(y,p-y) as the y coordinate. Such a public * key allows the most efficient compression: y can simply be * dropped because we know that it's a minimum of the two * possibilities without any loss of security. Note that we don't * do that for Ed25519 so that we do not violate the special * construction of the secret key. */ if (r_y == NULL || E->dialect == ECC_DIALECT_ED25519) point_set (&sk->Q, &Q); else { gcry_mpi_t negative; negative = mpi_new (pbits); if (E->model == MPI_EC_WEIERSTRASS) mpi_sub (negative, E->p, y); /* negative = p - y */ else mpi_sub (negative, E->p, x); /* negative = p - x */ if (mpi_cmp (negative, y) < 0) /* p - y < p */ { /* We need to end up with -Q; this assures that new Q's y is the smallest one */ if (E->model == MPI_EC_WEIERSTRASS) { mpi_free (y); y = negative; } else { mpi_free (x); x = negative; } mpi_sub (sk->d, E->n, sk->d); /* d = order - d */ mpi_point_set (&sk->Q, x, y, mpi_const (MPI_C_ONE)); if (DBG_CIPHER) log_debug ("ecgen converted Q to a compliant point\n"); } else /* p - y >= p */ { /* No change is needed exactly 50% of the time: just copy. */ mpi_free (negative); point_set (&sk->Q, &Q); if (DBG_CIPHER) log_debug ("ecgen didn't need to convert Q to a compliant point\n"); } } *r_x = x; if (r_y) *r_y = y; point_free (&Q); /* Now we can test our keys (this should never fail!). */ if ((flags & PUBKEY_FLAG_NO_KEYTEST)) ; /* User requested to skip the test. */ else if (sk->E.model != MPI_EC_MONTGOMERY) test_keys (sk, nbits - 64); else test_ecdh_only_keys (sk, nbits - 64, flags); return 0; } /* * To verify correct skey it use a random information. * First, encrypt and decrypt this dummy value, * test if the information is recuperated. * Second, test with the sign and verify functions. */ static void test_keys (ECC_secret_key *sk, unsigned int nbits) { ECC_public_key pk; gcry_mpi_t test = mpi_new (nbits); mpi_point_struct R_; gcry_mpi_t c = mpi_new (nbits); gcry_mpi_t out = mpi_new (nbits); gcry_mpi_t r = mpi_new (nbits); gcry_mpi_t s = mpi_new (nbits); if (DBG_CIPHER) log_debug ("Testing key.\n"); point_init (&R_); pk.E = _gcry_ecc_curve_copy (sk->E); point_init (&pk.Q); point_set (&pk.Q, &sk->Q); _gcry_mpi_randomize (test, nbits, GCRY_WEAK_RANDOM); if (_gcry_ecc_ecdsa_sign (test, sk, r, s, 0, 0) ) log_fatal ("ECDSA operation: sign failed\n"); if (_gcry_ecc_ecdsa_verify (test, &pk, r, s)) { log_fatal ("ECDSA operation: sign, verify failed\n"); } if (DBG_CIPHER) log_debug ("ECDSA operation: sign, verify ok.\n"); point_free (&pk.Q); _gcry_ecc_curve_free (&pk.E); point_free (&R_); mpi_free (s); mpi_free (r); mpi_free (out); mpi_free (c); mpi_free (test); } static void test_ecdh_only_keys (ECC_secret_key *sk, unsigned int nbits, int flags) { ECC_public_key pk; gcry_mpi_t test; mpi_point_struct R_; gcry_mpi_t x0, x1; mpi_ec_t ec; if (DBG_CIPHER) log_debug ("Testing ECDH only key.\n"); point_init (&R_); pk.E = _gcry_ecc_curve_copy (sk->E); point_init (&pk.Q); point_set (&pk.Q, &sk->Q); - if ((flags & PUBKEY_FLAG_DJB_TWEAK)) + if (sk->E.dialect == ECC_DIALECT_SAFECURVE + || (flags & PUBKEY_FLAG_DJB_TWEAK)) { char *rndbuf; const unsigned int pbits = mpi_get_nbits (sk->E.p); int len = (pbits+7)/8; unsigned int h; mpi_get_ui (&h, sk->E.h); test = mpi_new (pbits); rndbuf = _gcry_random_bytes (len, GCRY_WEAK_RANDOM); if ((pbits % 8)) rndbuf[0] &= (1 << (pbits % 8)) - 1; rndbuf[0] |= (1 << ((pbits + 7) % 8)); rndbuf[(pbits-1)/8] &= (256 - h); _gcry_mpi_set_buffer (test, rndbuf, len, 0); xfree (rndbuf); } else { test = mpi_new (nbits); _gcry_mpi_randomize (test, nbits, GCRY_WEAK_RANDOM); } ec = _gcry_mpi_ec_p_internal_new (pk.E.model, pk.E.dialect, flags, pk.E.p, pk.E.a, pk.E.b); x0 = mpi_new (0); x1 = mpi_new (0); /* R_ = hkQ <=> R_ = hkdG */ _gcry_mpi_ec_mul_point (&R_, test, &pk.Q, ec); - if (!(flags & PUBKEY_FLAG_DJB_TWEAK)) + if (pk.E.dialect == ECC_DIALECT_STANDARD && !(flags & PUBKEY_FLAG_DJB_TWEAK)) _gcry_mpi_ec_mul_point (&R_, ec->h, &R_, ec); if (_gcry_mpi_ec_get_affine (x0, NULL, &R_, ec)) log_fatal ("ecdh: Failed to get affine coordinates for hkQ\n"); _gcry_mpi_ec_mul_point (&R_, test, &pk.E.G, ec); _gcry_mpi_ec_mul_point (&R_, sk->d, &R_, ec); /* R_ = hdkG */ - if (!(flags & PUBKEY_FLAG_DJB_TWEAK)) + if (pk.E.dialect == ECC_DIALECT_STANDARD && !(flags & PUBKEY_FLAG_DJB_TWEAK)) _gcry_mpi_ec_mul_point (&R_, ec->h, &R_, ec); if (_gcry_mpi_ec_get_affine (x1, NULL, &R_, ec)) log_fatal ("ecdh: Failed to get affine coordinates for hdkG\n"); if (mpi_cmp (x0, x1)) { log_fatal ("ECDH test failed.\n"); } mpi_free (x0); mpi_free (x1); _gcry_mpi_ec_free (ec); point_free (&pk.Q); _gcry_ecc_curve_free (&pk.E); point_free (&R_); mpi_free (test); } /* * To check the validity of the value, recalculate the correspondence * between the public value and the secret one. */ static int check_secret_key (ECC_secret_key *sk, mpi_ec_t ec, int flags) { int rc = 1; mpi_point_struct Q; gcry_mpi_t x1, y1; gcry_mpi_t x2 = NULL; gcry_mpi_t y2 = NULL; point_init (&Q); x1 = mpi_new (0); if (ec->model == MPI_EC_MONTGOMERY) y1 = NULL; else y1 = mpi_new (0); /* G in E(F_p) */ if (!_gcry_mpi_ec_curve_point (&sk->E.G, ec)) { if (DBG_CIPHER) log_debug ("Bad check: Point 'G' does not belong to curve 'E'!\n"); goto leave; } /* G != PaI */ if (!mpi_cmp_ui (sk->E.G.z, 0)) { if (DBG_CIPHER) log_debug ("Bad check: 'G' cannot be Point at Infinity!\n"); goto leave; } /* Check order of curve. */ if (sk->E.dialect == ECC_DIALECT_STANDARD && !(flags & PUBKEY_FLAG_DJB_TWEAK)) { _gcry_mpi_ec_mul_point (&Q, sk->E.n, &sk->E.G, ec); if (mpi_cmp_ui (Q.z, 0)) { if (DBG_CIPHER) log_debug ("check_secret_key: E is not a curve of order n\n"); goto leave; } } /* Pubkey cannot be PaI */ if (!mpi_cmp_ui (sk->Q.z, 0)) { if (DBG_CIPHER) log_debug ("Bad check: Q can not be a Point at Infinity!\n"); goto leave; } /* pubkey = [d]G over E */ if (!_gcry_ecc_compute_public (&Q, ec, &sk->E.G, sk->d)) { if (DBG_CIPHER) log_debug ("Bad check: computation of dG failed\n"); goto leave; } if (_gcry_mpi_ec_get_affine (x1, y1, &Q, ec)) { if (DBG_CIPHER) log_debug ("Bad check: Q can not be a Point at Infinity!\n"); goto leave; } if ((flags & PUBKEY_FLAG_EDDSA)) ; /* Fixme: EdDSA is special. */ else if (!mpi_cmp_ui (sk->Q.z, 1)) { /* Fast path if Q is already in affine coordinates. */ if (mpi_cmp (x1, sk->Q.x) || (y1 && mpi_cmp (y1, sk->Q.y))) { if (DBG_CIPHER) log_debug ("Bad check: There is NO correspondence between 'd' and 'Q'!\n"); goto leave; } } else { x2 = mpi_new (0); y2 = mpi_new (0); if (_gcry_mpi_ec_get_affine (x2, y2, &sk->Q, ec)) { if (DBG_CIPHER) log_debug ("Bad check: Q can not be a Point at Infinity!\n"); goto leave; } if (mpi_cmp (x1, x2) || mpi_cmp (y1, y2)) { if (DBG_CIPHER) log_debug ("Bad check: There is NO correspondence between 'd' and 'Q'!\n"); goto leave; } } rc = 0; /* Okay. */ leave: mpi_free (x2); mpi_free (x1); mpi_free (y1); mpi_free (y2); point_free (&Q); return rc; } /********************************************* ************** interface ****************** *********************************************/ static gcry_err_code_t ecc_generate (const gcry_sexp_t genparms, gcry_sexp_t *r_skey) { gpg_err_code_t rc; unsigned int nbits; elliptic_curve_t E; ECC_secret_key sk; gcry_mpi_t Gx = NULL; gcry_mpi_t Gy = NULL; gcry_mpi_t Qx = NULL; gcry_mpi_t Qy = NULL; char *curve_name = NULL; gcry_sexp_t l1; mpi_ec_t ctx = NULL; gcry_sexp_t curve_info = NULL; gcry_sexp_t curve_flags = NULL; gcry_mpi_t base = NULL; gcry_mpi_t public = NULL; gcry_mpi_t secret = NULL; int flags = 0; memset (&E, 0, sizeof E); memset (&sk, 0, sizeof sk); rc = _gcry_pk_util_get_nbits (genparms, &nbits); if (rc) return rc; /* Parse the optional "curve" parameter. */ l1 = sexp_find_token (genparms, "curve", 0); if (l1) { curve_name = _gcry_sexp_nth_string (l1, 1); sexp_release (l1); if (!curve_name) return GPG_ERR_INV_OBJ; /* No curve name or value too large. */ } /* Parse the optional flags list. */ l1 = sexp_find_token (genparms, "flags", 0); if (l1) { rc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); sexp_release (l1); if (rc) goto leave; } /* Parse the deprecated optional transient-key flag. */ l1 = sexp_find_token (genparms, "transient-key", 0); if (l1) { flags |= PUBKEY_FLAG_TRANSIENT_KEY; sexp_release (l1); } /* NBITS is required if no curve name has been given. */ if (!nbits && !curve_name) return GPG_ERR_NO_OBJ; /* No NBITS parameter. */ rc = _gcry_ecc_fill_in_curve (nbits, curve_name, &E, &nbits); if (rc) goto leave; if (DBG_CIPHER) { log_debug ("ecgen curve info: %s/%s\n", _gcry_ecc_model2str (E.model), _gcry_ecc_dialect2str (E.dialect)); if (E.name) log_debug ("ecgen curve used: %s\n", E.name); log_printmpi ("ecgen curve p", E.p); log_printmpi ("ecgen curve a", E.a); log_printmpi ("ecgen curve b", E.b); log_printmpi ("ecgen curve n", E.n); log_printmpi ("ecgen curve h", E.h); log_printpnt ("ecgen curve G", &E.G, NULL); } ctx = _gcry_mpi_ec_p_internal_new (E.model, E.dialect, flags, E.p, E.a, E.b); if (E.model == MPI_EC_MONTGOMERY) rc = nist_generate_key (&sk, &E, ctx, flags, nbits, &Qx, NULL); else if ((flags & PUBKEY_FLAG_EDDSA)) rc = _gcry_ecc_eddsa_genkey (&sk, &E, ctx, flags); else rc = nist_generate_key (&sk, &E, ctx, flags, nbits, &Qx, &Qy); if (rc) goto leave; /* Copy data to the result. */ Gx = mpi_new (0); Gy = mpi_new (0); if (E.model != MPI_EC_MONTGOMERY) { if (_gcry_mpi_ec_get_affine (Gx, Gy, &sk.E.G, ctx)) log_fatal ("ecgen: Failed to get affine coordinates for %s\n", "G"); base = _gcry_ecc_ec2os (Gx, Gy, sk.E.p); } if ((sk.E.dialect == ECC_DIALECT_ED25519 || E.model == MPI_EC_MONTGOMERY) && !(flags & PUBKEY_FLAG_NOCOMP)) { unsigned char *encpk; unsigned int encpklen; if (E.model != MPI_EC_MONTGOMERY) /* (Gx and Gy are used as scratch variables) */ rc = _gcry_ecc_eddsa_encodepoint (&sk.Q, ctx, Gx, Gy, !!(flags & PUBKEY_FLAG_COMP), &encpk, &encpklen); else { encpk = _gcry_mpi_get_buffer_extra (Qx, nbits/8, -1, &encpklen, NULL); if (encpk == NULL) rc = gpg_err_code_from_syserror (); else { encpk[0] = 0x40; encpklen++; } } if (rc) goto leave; public = mpi_new (0); mpi_set_opaque (public, encpk, encpklen*8); } else { if (!Qx) { /* This is the case for a key from _gcry_ecc_eddsa_generate with no compression. */ Qx = mpi_new (0); Qy = mpi_new (0); if (_gcry_mpi_ec_get_affine (Qx, Qy, &sk.Q, ctx)) log_fatal ("ecgen: Failed to get affine coordinates for %s\n", "Q"); } public = _gcry_ecc_ec2os (Qx, Qy, sk.E.p); } secret = sk.d; sk.d = NULL; if (E.name) { rc = sexp_build (&curve_info, NULL, "(curve %s)", E.name); if (rc) goto leave; } if ((flags & PUBKEY_FLAG_PARAM) || (flags & PUBKEY_FLAG_EDDSA) || (flags & PUBKEY_FLAG_DJB_TWEAK)) { rc = sexp_build (&curve_flags, NULL, ((flags & PUBKEY_FLAG_PARAM) && (flags & PUBKEY_FLAG_EDDSA))? "(flags param eddsa)" : ((flags & PUBKEY_FLAG_PARAM) && (flags & PUBKEY_FLAG_EDDSA))? "(flags param djb-tweak)" : ((flags & PUBKEY_FLAG_PARAM))? "(flags param)" : ((flags & PUBKEY_FLAG_EDDSA))? "(flags eddsa)" : "(flags djb-tweak)" ); if (rc) goto leave; } if ((flags & PUBKEY_FLAG_PARAM) && E.name) rc = sexp_build (r_skey, NULL, "(key-data" " (public-key" " (ecc%S%S(p%m)(a%m)(b%m)(g%m)(n%m)(h%m)(q%m)))" " (private-key" " (ecc%S%S(p%m)(a%m)(b%m)(g%m)(n%m)(h%m)(q%m)(d%m)))" " )", curve_info, curve_flags, sk.E.p, sk.E.a, sk.E.b, base, sk.E.n, sk.E.h, public, curve_info, curve_flags, sk.E.p, sk.E.a, sk.E.b, base, sk.E.n, sk.E.h, public, secret); else rc = sexp_build (r_skey, NULL, "(key-data" " (public-key" " (ecc%S%S(q%m)))" " (private-key" " (ecc%S%S(q%m)(d%m)))" " )", curve_info, curve_flags, public, curve_info, curve_flags, public, secret); if (rc) goto leave; if (DBG_CIPHER) { log_printmpi ("ecgen result p", sk.E.p); log_printmpi ("ecgen result a", sk.E.a); log_printmpi ("ecgen result b", sk.E.b); log_printmpi ("ecgen result G", base); log_printmpi ("ecgen result n", sk.E.n); log_printmpi ("ecgen result h", sk.E.h); log_printmpi ("ecgen result Q", public); log_printmpi ("ecgen result d", secret); if ((flags & PUBKEY_FLAG_EDDSA)) log_debug ("ecgen result using Ed25519+EdDSA\n"); } leave: mpi_free (secret); mpi_free (public); mpi_free (base); { _gcry_ecc_curve_free (&sk.E); point_free (&sk.Q); mpi_free (sk.d); } _gcry_ecc_curve_free (&E); mpi_free (Gx); mpi_free (Gy); mpi_free (Qx); mpi_free (Qy); _gcry_mpi_ec_free (ctx); xfree (curve_name); sexp_release (curve_flags); sexp_release (curve_info); return rc; } static gcry_err_code_t ecc_check_secret_key (gcry_sexp_t keyparms) { gcry_err_code_t rc; gcry_sexp_t l1 = NULL; int flags = 0; char *curvename = NULL; gcry_mpi_t mpi_g = NULL; gcry_mpi_t mpi_q = NULL; ECC_secret_key sk; mpi_ec_t ec = NULL; memset (&sk, 0, sizeof sk); /* Look for flags. */ l1 = sexp_find_token (keyparms, "flags", 0); if (l1) { rc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); if (rc) goto leave; } /* Extract the parameters. */ if ((flags & PUBKEY_FLAG_PARAM)) rc = sexp_extract_param (keyparms, NULL, "-p?a?b?g?n?h?/q?+d", &sk.E.p, &sk.E.a, &sk.E.b, &mpi_g, &sk.E.n, &sk.E.h, &mpi_q, &sk.d, NULL); else rc = sexp_extract_param (keyparms, NULL, "/q?+d", &mpi_q, &sk.d, NULL); if (rc) goto leave; /* Add missing parameters using the optional curve parameter. */ sexp_release (l1); l1 = sexp_find_token (keyparms, "curve", 5); if (l1) { curvename = sexp_nth_string (l1, 1); if (curvename) { rc = _gcry_ecc_fill_in_curve (0, curvename, &sk.E, NULL); if (rc) goto leave; } } if (mpi_g) { if (!sk.E.G.x) point_init (&sk.E.G); rc = _gcry_ecc_os2ec (&sk.E.G, mpi_g); if (rc) goto leave; } /* Guess required fields if a curve parameter has not been given. FIXME: This is a crude hacks. We need to fix that. */ if (!curvename) { sk.E.model = ((flags & PUBKEY_FLAG_EDDSA) ? MPI_EC_EDWARDS : MPI_EC_WEIERSTRASS); sk.E.dialect = ((flags & PUBKEY_FLAG_EDDSA) ? ECC_DIALECT_ED25519 : ECC_DIALECT_STANDARD); if (!sk.E.h) - sk.E.h = mpi_const (MPI_C_ONE); + sk.E.h = mpi_const (MPI_C_ONE); } if (DBG_CIPHER) { log_debug ("ecc_testkey info: %s/%s\n", _gcry_ecc_model2str (sk.E.model), _gcry_ecc_dialect2str (sk.E.dialect)); if (sk.E.name) log_debug ("ecc_testkey name: %s\n", sk.E.name); log_printmpi ("ecc_testkey p", sk.E.p); log_printmpi ("ecc_testkey a", sk.E.a); log_printmpi ("ecc_testkey b", sk.E.b); log_printpnt ("ecc_testkey g", &sk.E.G, NULL); log_printmpi ("ecc_testkey n", sk.E.n); log_printmpi ("ecc_testkey h", sk.E.h); log_printmpi ("ecc_testkey q", mpi_q); if (!fips_mode ()) log_printmpi ("ecc_testkey d", sk.d); } if (!sk.E.p || !sk.E.a || !sk.E.b || !sk.E.G.x || !sk.E.n || !sk.E.h || !sk.d) { rc = GPG_ERR_NO_OBJ; goto leave; } ec = _gcry_mpi_ec_p_internal_new (sk.E.model, sk.E.dialect, flags, sk.E.p, sk.E.a, sk.E.b); if (mpi_q) { point_init (&sk.Q); rc = _gcry_mpi_ec_decode_point (&sk.Q, mpi_q, ec); if (rc) goto leave; } else { /* The secret key test requires Q. */ rc = GPG_ERR_NO_OBJ; goto leave; } if (check_secret_key (&sk, ec, flags)) rc = GPG_ERR_BAD_SECKEY; leave: _gcry_mpi_ec_free (ec); _gcry_mpi_release (sk.E.p); _gcry_mpi_release (sk.E.a); _gcry_mpi_release (sk.E.b); _gcry_mpi_release (mpi_g); point_free (&sk.E.G); _gcry_mpi_release (sk.E.n); _gcry_mpi_release (sk.E.h); _gcry_mpi_release (mpi_q); point_free (&sk.Q); _gcry_mpi_release (sk.d); xfree (curvename); sexp_release (l1); if (DBG_CIPHER) log_debug ("ecc_testkey => %s\n", gpg_strerror (rc)); return rc; } static gcry_err_code_t ecc_sign (gcry_sexp_t *r_sig, gcry_sexp_t s_data, gcry_sexp_t keyparms) { gcry_err_code_t rc; struct pk_encoding_ctx ctx; gcry_mpi_t data = NULL; gcry_sexp_t l1 = NULL; char *curvename = NULL; gcry_mpi_t mpi_g = NULL; gcry_mpi_t mpi_q = NULL; ECC_secret_key sk; gcry_mpi_t sig_r = NULL; gcry_mpi_t sig_s = NULL; memset (&sk, 0, sizeof sk); _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_SIGN, 0); /* Extract the data. */ rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx); if (rc) goto leave; if (DBG_CIPHER) log_mpidump ("ecc_sign data", data); /* * Extract the key. */ if ((ctx.flags & PUBKEY_FLAG_PARAM)) rc = sexp_extract_param (keyparms, NULL, "-p?a?b?g?n?h?/q?+d", &sk.E.p, &sk.E.a, &sk.E.b, &mpi_g, &sk.E.n, &sk.E.h, &mpi_q, &sk.d, NULL); else rc = sexp_extract_param (keyparms, NULL, "/q?+d", &mpi_q, &sk.d, NULL); if (rc) goto leave; if (mpi_g) { point_init (&sk.E.G); rc = _gcry_ecc_os2ec (&sk.E.G, mpi_g); if (rc) goto leave; } /* Add missing parameters using the optional curve parameter. */ l1 = sexp_find_token (keyparms, "curve", 5); if (l1) { curvename = sexp_nth_string (l1, 1); if (curvename) { rc = _gcry_ecc_fill_in_curve (0, curvename, &sk.E, NULL); if (rc) goto leave; } } /* Guess required fields if a curve parameter has not been given. FIXME: This is a crude hacks. We need to fix that. */ if (!curvename) { sk.E.model = ((ctx.flags & PUBKEY_FLAG_EDDSA) ? MPI_EC_EDWARDS : MPI_EC_WEIERSTRASS); sk.E.dialect = ((ctx.flags & PUBKEY_FLAG_EDDSA) ? ECC_DIALECT_ED25519 : ECC_DIALECT_STANDARD); if (!sk.E.h) - sk.E.h = mpi_const (MPI_C_ONE); + sk.E.h = mpi_const (MPI_C_ONE); } if (DBG_CIPHER) { log_debug ("ecc_sign info: %s/%s%s\n", _gcry_ecc_model2str (sk.E.model), _gcry_ecc_dialect2str (sk.E.dialect), (ctx.flags & PUBKEY_FLAG_EDDSA)? "+EdDSA":""); if (sk.E.name) log_debug ("ecc_sign name: %s\n", sk.E.name); log_printmpi ("ecc_sign p", sk.E.p); log_printmpi ("ecc_sign a", sk.E.a); log_printmpi ("ecc_sign b", sk.E.b); log_printpnt ("ecc_sign g", &sk.E.G, NULL); log_printmpi ("ecc_sign n", sk.E.n); log_printmpi ("ecc_sign h", sk.E.h); log_printmpi ("ecc_sign q", mpi_q); if (!fips_mode ()) log_printmpi ("ecc_sign d", sk.d); } if (!sk.E.p || !sk.E.a || !sk.E.b || !sk.E.G.x || !sk.E.n || !sk.E.h || !sk.d) { rc = GPG_ERR_NO_OBJ; goto leave; } sig_r = mpi_new (0); sig_s = mpi_new (0); if ((ctx.flags & PUBKEY_FLAG_EDDSA)) { /* EdDSA requires the public key. */ rc = _gcry_ecc_eddsa_sign (data, &sk, sig_r, sig_s, ctx.hash_algo, mpi_q); if (!rc) rc = sexp_build (r_sig, NULL, "(sig-val(eddsa(r%M)(s%M)))", sig_r, sig_s); } else if ((ctx.flags & PUBKEY_FLAG_GOST)) { rc = _gcry_ecc_gost_sign (data, &sk, sig_r, sig_s); if (!rc) rc = sexp_build (r_sig, NULL, "(sig-val(gost(r%M)(s%M)))", sig_r, sig_s); } else { rc = _gcry_ecc_ecdsa_sign (data, &sk, sig_r, sig_s, ctx.flags, ctx.hash_algo); if (!rc) rc = sexp_build (r_sig, NULL, "(sig-val(ecdsa(r%M)(s%M)))", sig_r, sig_s); } leave: _gcry_mpi_release (sk.E.p); _gcry_mpi_release (sk.E.a); _gcry_mpi_release (sk.E.b); _gcry_mpi_release (mpi_g); point_free (&sk.E.G); _gcry_mpi_release (sk.E.n); _gcry_mpi_release (sk.E.h); _gcry_mpi_release (mpi_q); point_free (&sk.Q); _gcry_mpi_release (sk.d); _gcry_mpi_release (sig_r); _gcry_mpi_release (sig_s); xfree (curvename); _gcry_mpi_release (data); sexp_release (l1); _gcry_pk_util_free_encoding_ctx (&ctx); if (DBG_CIPHER) log_debug ("ecc_sign => %s\n", gpg_strerror (rc)); return rc; } static gcry_err_code_t ecc_verify (gcry_sexp_t s_sig, gcry_sexp_t s_data, gcry_sexp_t s_keyparms) { gcry_err_code_t rc; struct pk_encoding_ctx ctx; gcry_sexp_t l1 = NULL; char *curvename = NULL; gcry_mpi_t mpi_g = NULL; gcry_mpi_t mpi_q = NULL; gcry_mpi_t sig_r = NULL; gcry_mpi_t sig_s = NULL; gcry_mpi_t data = NULL; ECC_public_key pk; int sigflags; memset (&pk, 0, sizeof pk); _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_VERIFY, ecc_get_nbits (s_keyparms)); /* Extract the data. */ rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx); if (rc) goto leave; if (DBG_CIPHER) log_mpidump ("ecc_verify data", data); /* * Extract the signature value. */ rc = _gcry_pk_util_preparse_sigval (s_sig, ecc_names, &l1, &sigflags); if (rc) goto leave; rc = sexp_extract_param (l1, NULL, (sigflags & PUBKEY_FLAG_EDDSA)? "/rs":"rs", &sig_r, &sig_s, NULL); if (rc) goto leave; if (DBG_CIPHER) { log_mpidump ("ecc_verify s_r", sig_r); log_mpidump ("ecc_verify s_s", sig_s); } if ((ctx.flags & PUBKEY_FLAG_EDDSA) ^ (sigflags & PUBKEY_FLAG_EDDSA)) { rc = GPG_ERR_CONFLICT; /* Inconsistent use of flag/algoname. */ goto leave; } /* * Extract the key. */ if ((ctx.flags & PUBKEY_FLAG_PARAM)) rc = sexp_extract_param (s_keyparms, NULL, "-p?a?b?g?n?h?/q", &pk.E.p, &pk.E.a, &pk.E.b, &mpi_g, &pk.E.n, &pk.E.h, &mpi_q, NULL); else rc = sexp_extract_param (s_keyparms, NULL, "/q", &mpi_q, NULL); if (rc) goto leave; if (mpi_g) { point_init (&pk.E.G); rc = _gcry_ecc_os2ec (&pk.E.G, mpi_g); if (rc) goto leave; } /* Add missing parameters using the optional curve parameter. */ sexp_release (l1); l1 = sexp_find_token (s_keyparms, "curve", 5); if (l1) { curvename = sexp_nth_string (l1, 1); if (curvename) { rc = _gcry_ecc_fill_in_curve (0, curvename, &pk.E, NULL); if (rc) goto leave; } } /* Guess required fields if a curve parameter has not been given. FIXME: This is a crude hacks. We need to fix that. */ if (!curvename) { pk.E.model = ((sigflags & PUBKEY_FLAG_EDDSA) ? MPI_EC_EDWARDS : MPI_EC_WEIERSTRASS); pk.E.dialect = ((sigflags & PUBKEY_FLAG_EDDSA) ? ECC_DIALECT_ED25519 : ECC_DIALECT_STANDARD); if (!pk.E.h) - pk.E.h = mpi_const (MPI_C_ONE); + pk.E.h = mpi_const (MPI_C_ONE); } if (DBG_CIPHER) { log_debug ("ecc_verify info: %s/%s%s\n", _gcry_ecc_model2str (pk.E.model), _gcry_ecc_dialect2str (pk.E.dialect), (sigflags & PUBKEY_FLAG_EDDSA)? "+EdDSA":""); if (pk.E.name) log_debug ("ecc_verify name: %s\n", pk.E.name); log_printmpi ("ecc_verify p", pk.E.p); log_printmpi ("ecc_verify a", pk.E.a); log_printmpi ("ecc_verify b", pk.E.b); log_printpnt ("ecc_verify g", &pk.E.G, NULL); log_printmpi ("ecc_verify n", pk.E.n); log_printmpi ("ecc_verify h", pk.E.h); log_printmpi ("ecc_verify q", mpi_q); } if (!pk.E.p || !pk.E.a || !pk.E.b || !pk.E.G.x || !pk.E.n || !pk.E.h || !mpi_q) { rc = GPG_ERR_NO_OBJ; goto leave; } /* * Verify the signature. */ if ((sigflags & PUBKEY_FLAG_EDDSA)) { rc = _gcry_ecc_eddsa_verify (data, &pk, sig_r, sig_s, ctx.hash_algo, mpi_q); } else if ((sigflags & PUBKEY_FLAG_GOST)) { point_init (&pk.Q); rc = _gcry_ecc_os2ec (&pk.Q, mpi_q); if (rc) goto leave; rc = _gcry_ecc_gost_verify (data, &pk, sig_r, sig_s); } else { point_init (&pk.Q); if (pk.E.dialect == ECC_DIALECT_ED25519) { mpi_ec_t ec; /* Fixme: Factor the curve context setup out of eddsa_verify and ecdsa_verify. So that we don't do it twice. */ ec = _gcry_mpi_ec_p_internal_new (pk.E.model, pk.E.dialect, 0, pk.E.p, pk.E.a, pk.E.b); rc = _gcry_ecc_eddsa_decodepoint (mpi_q, ec, &pk.Q, NULL, NULL); _gcry_mpi_ec_free (ec); } else { rc = _gcry_ecc_os2ec (&pk.Q, mpi_q); } if (rc) goto leave; if (mpi_is_opaque (data)) { const void *abuf; unsigned int abits, qbits; gcry_mpi_t a; qbits = mpi_get_nbits (pk.E.n); abuf = mpi_get_opaque (data, &abits); rc = _gcry_mpi_scan (&a, GCRYMPI_FMT_USG, abuf, (abits+7)/8, NULL); if (!rc) { if (abits > qbits) mpi_rshift (a, a, abits - qbits); rc = _gcry_ecc_ecdsa_verify (a, &pk, sig_r, sig_s); _gcry_mpi_release (a); } } else rc = _gcry_ecc_ecdsa_verify (data, &pk, sig_r, sig_s); } leave: _gcry_mpi_release (pk.E.p); _gcry_mpi_release (pk.E.a); _gcry_mpi_release (pk.E.b); _gcry_mpi_release (mpi_g); point_free (&pk.E.G); _gcry_mpi_release (pk.E.n); _gcry_mpi_release (pk.E.h); _gcry_mpi_release (mpi_q); point_free (&pk.Q); _gcry_mpi_release (data); _gcry_mpi_release (sig_r); _gcry_mpi_release (sig_s); xfree (curvename); sexp_release (l1); _gcry_pk_util_free_encoding_ctx (&ctx); if (DBG_CIPHER) log_debug ("ecc_verify => %s\n", rc?gpg_strerror (rc):"Good"); return rc; } /* ecdh raw is classic 2-round DH protocol published in 1976. * * Overview of ecc_encrypt_raw and ecc_decrypt_raw. * * As with any PK operation, encrypt version uses a public key and * decrypt -- private. * * Symbols used below: * G - field generator point * d - private long-term scalar * dG - public long-term key * k - ephemeral scalar * kG - ephemeral public key * dkG - shared secret * * ecc_encrypt_raw description: * input: * data[0] : private scalar (k) * output: A new S-expression with the parameters: * s : shared point (kdG) * e : generated ephemeral public key (kG) * * ecc_decrypt_raw description: * input: * data[0] : a point kG (ephemeral public key) * output: * result[0] : shared point (kdG) */ static gcry_err_code_t ecc_encrypt_raw (gcry_sexp_t *r_ciph, gcry_sexp_t s_data, gcry_sexp_t keyparms) { unsigned int nbits; gcry_err_code_t rc; struct pk_encoding_ctx ctx; gcry_sexp_t l1 = NULL; char *curvename = NULL; gcry_mpi_t mpi_g = NULL; gcry_mpi_t mpi_q = NULL; gcry_mpi_t mpi_s = NULL; gcry_mpi_t mpi_e = NULL; gcry_mpi_t data = NULL; ECC_public_key pk; mpi_ec_t ec = NULL; int flags = 0; + int safecurve; memset (&pk, 0, sizeof pk); _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_ENCRYPT, (nbits = ecc_get_nbits (keyparms))); /* Look for flags. */ l1 = sexp_find_token (keyparms, "flags", 0); if (l1) { rc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); if (rc) goto leave; } sexp_release (l1); l1 = NULL; /* * Extract the data. */ rc = _gcry_pk_util_data_to_mpi (s_data, &data, &ctx); if (rc) goto leave; if (mpi_is_opaque (data)) { rc = GPG_ERR_INV_DATA; goto leave; } /* * Extract the key. */ rc = sexp_extract_param (keyparms, NULL, "-p?a?b?g?n?h?/q", &pk.E.p, &pk.E.a, &pk.E.b, &mpi_g, &pk.E.n, &pk.E.h, &mpi_q, NULL); if (rc) goto leave; if (mpi_g) { point_init (&pk.E.G); rc = _gcry_ecc_os2ec (&pk.E.G, mpi_g); if (rc) goto leave; } /* Add missing parameters using the optional curve parameter. */ l1 = sexp_find_token (keyparms, "curve", 5); if (l1) + curvename = sexp_nth_string (l1, 1); + /* Guess required fields if a curve parameter has not been given. */ + if (curvename) { - curvename = sexp_nth_string (l1, 1); - if (curvename) - { - rc = _gcry_ecc_fill_in_curve (0, curvename, &pk.E, NULL); - if (rc) - goto leave; - } + rc = _gcry_ecc_fill_in_curve (0, curvename, &pk.E, NULL); + if (rc) + goto leave; } - /* Guess required fields if a curve parameter has not been given. */ - if (!curvename) + else { pk.E.model = MPI_EC_WEIERSTRASS; pk.E.dialect = ECC_DIALECT_STANDARD; if (!pk.E.h) - pk.E.h = mpi_const (MPI_C_ONE); + pk.E.h = mpi_const (MPI_C_ONE); } + if (pk.E.dialect == ECC_DIALECT_SAFECURVE || (flags & PUBKEY_FLAG_DJB_TWEAK)) + safecurve = 1; + else + safecurve = 0; + /* * Tweak the scalar bits by cofactor and number of bits of the field. * It assumes the cofactor is a power of 2. */ - if ((flags & PUBKEY_FLAG_DJB_TWEAK)) + if (safecurve) { int i; for (i = 0; i < mpi_get_nbits (pk.E.h) - 1; i++) mpi_clear_bit (data, i); mpi_set_highbit (data, mpi_get_nbits (pk.E.p) - 1); } if (DBG_CIPHER) log_mpidump ("ecc_encrypt data", data); if (DBG_CIPHER) { log_debug ("ecc_encrypt info: %s/%s\n", _gcry_ecc_model2str (pk.E.model), _gcry_ecc_dialect2str (pk.E.dialect)); if (pk.E.name) log_debug ("ecc_encrypt name: %s\n", pk.E.name); log_printmpi ("ecc_encrypt p", pk.E.p); log_printmpi ("ecc_encrypt a", pk.E.a); log_printmpi ("ecc_encrypt b", pk.E.b); log_printpnt ("ecc_encrypt g", &pk.E.G, NULL); log_printmpi ("ecc_encrypt n", pk.E.n); log_printmpi ("ecc_encrypt h", pk.E.h); log_printmpi ("ecc_encrypt q", mpi_q); } if (!pk.E.p || !pk.E.a || !pk.E.b || !pk.E.G.x || !pk.E.n || !pk.E.h || !mpi_q) { rc = GPG_ERR_NO_OBJ; goto leave; } /* Compute the encrypted value. */ ec = _gcry_mpi_ec_p_internal_new (pk.E.model, pk.E.dialect, flags, pk.E.p, pk.E.a, pk.E.b); /* Convert the public key. */ if (mpi_q) { point_init (&pk.Q); if (ec->model == MPI_EC_MONTGOMERY) rc = _gcry_ecc_mont_decodepoint (mpi_q, ec, &pk.Q); else rc = _gcry_ecc_os2ec (&pk.Q, mpi_q); if (rc) goto leave; } /* The following is false: assert( mpi_cmp_ui( R.x, 1 )==0 );, so */ { mpi_point_struct R; /* Result that we return. */ gcry_mpi_t x, y; unsigned char *rawmpi; unsigned int rawmpilen; rc = 0; x = mpi_new (0); if (ec->model == MPI_EC_MONTGOMERY) y = NULL; else y = mpi_new (0); point_init (&R); /* R = kQ <=> R = kdG */ _gcry_mpi_ec_mul_point (&R, data, &pk.Q, ec); if (_gcry_mpi_ec_get_affine (x, y, &R, ec)) { /* * Here, X is 0. In the X25519 computation on Curve25519, X0 * function maps infinity to zero. So, when PUBKEY_FLAG_DJB_TWEAK * is enabled, return the result of 0 not raising an error. * * This is a corner case. It never occurs with properly * generated public keys, but it might happen with blindly * imported public key which might not follow the key * generation procedure. */ - if (!(flags & PUBKEY_FLAG_DJB_TWEAK)) + if (!safecurve) { /* It's not for X25519, then, the input data was simply wrong. */ rc = GPG_ERR_INV_DATA; goto leave_main; } } if (y) mpi_s = _gcry_ecc_ec2os (x, y, pk.E.p); else { rawmpi = _gcry_mpi_get_buffer_extra (x, nbits/8, -1, &rawmpilen, NULL); if (!rawmpi) rc = gpg_err_code_from_syserror (); else { rawmpi[0] = 0x40; rawmpilen++; mpi_s = mpi_new (0); mpi_set_opaque (mpi_s, rawmpi, rawmpilen*8); } } /* R = kG */ _gcry_mpi_ec_mul_point (&R, data, &pk.E.G, ec); if (_gcry_mpi_ec_get_affine (x, y, &R, ec)) { rc = GPG_ERR_INV_DATA; goto leave_main; } if (y) mpi_e = _gcry_ecc_ec2os (x, y, pk.E.p); else { rawmpi = _gcry_mpi_get_buffer_extra (x, nbits/8, -1, &rawmpilen, NULL); if (!rawmpi) rc = gpg_err_code_from_syserror (); else { rawmpi[0] = 0x40; rawmpilen++; mpi_e = mpi_new (0); mpi_set_opaque (mpi_e, rawmpi, rawmpilen*8); } } leave_main: mpi_free (x); mpi_free (y); point_free (&R); if (rc) goto leave; } if (!rc) rc = sexp_build (r_ciph, NULL, "(enc-val(ecdh(s%m)(e%m)))", mpi_s, mpi_e); leave: _gcry_mpi_release (pk.E.p); _gcry_mpi_release (pk.E.a); _gcry_mpi_release (pk.E.b); _gcry_mpi_release (mpi_g); point_free (&pk.E.G); _gcry_mpi_release (pk.E.n); _gcry_mpi_release (pk.E.h); _gcry_mpi_release (mpi_q); point_free (&pk.Q); _gcry_mpi_release (data); _gcry_mpi_release (mpi_s); _gcry_mpi_release (mpi_e); xfree (curvename); sexp_release (l1); _gcry_mpi_ec_free (ec); _gcry_pk_util_free_encoding_ctx (&ctx); if (DBG_CIPHER) log_debug ("ecc_encrypt => %s\n", gpg_strerror (rc)); return rc; } /* input: * data[0] : a point kG (ephemeral public key) * output: * resaddr[0] : shared point kdG * * see ecc_encrypt_raw for details. */ static gcry_err_code_t ecc_decrypt_raw (gcry_sexp_t *r_plain, gcry_sexp_t s_data, gcry_sexp_t keyparms) { unsigned int nbits; gpg_err_code_t rc; struct pk_encoding_ctx ctx; gcry_sexp_t l1 = NULL; gcry_mpi_t data_e = NULL; ECC_secret_key sk; gcry_mpi_t mpi_g = NULL; char *curvename = NULL; mpi_ec_t ec = NULL; mpi_point_struct kG; mpi_point_struct R; gcry_mpi_t r = NULL; int flags = 0; + int safecurve; memset (&sk, 0, sizeof sk); point_init (&kG); point_init (&R); _gcry_pk_util_init_encoding_ctx (&ctx, PUBKEY_OP_DECRYPT, (nbits = ecc_get_nbits (keyparms))); /* Look for flags. */ l1 = sexp_find_token (keyparms, "flags", 0); if (l1) { rc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); if (rc) goto leave; } sexp_release (l1); l1 = NULL; /* * Extract the data. */ rc = _gcry_pk_util_preparse_encval (s_data, ecc_names, &l1, &ctx); if (rc) goto leave; rc = sexp_extract_param (l1, NULL, "e", &data_e, NULL); if (rc) goto leave; if (DBG_CIPHER) log_printmpi ("ecc_decrypt d_e", data_e); if (mpi_is_opaque (data_e)) { rc = GPG_ERR_INV_DATA; goto leave; } /* * Extract the key. */ rc = sexp_extract_param (keyparms, NULL, "-p?a?b?g?n?h?+d", &sk.E.p, &sk.E.a, &sk.E.b, &mpi_g, &sk.E.n, &sk.E.h, &sk.d, NULL); if (rc) goto leave; if (mpi_g) { point_init (&sk.E.G); rc = _gcry_ecc_os2ec (&sk.E.G, mpi_g); if (rc) goto leave; } /* Add missing parameters using the optional curve parameter. */ sexp_release (l1); l1 = sexp_find_token (keyparms, "curve", 5); if (l1) + curvename = sexp_nth_string (l1, 1); + /* Guess required fields if a curve parameter has not been given. */ + if (curvename) { - curvename = sexp_nth_string (l1, 1); - if (curvename) - { - rc = _gcry_ecc_fill_in_curve (0, curvename, &sk.E, NULL); - if (rc) - goto leave; - } + rc = _gcry_ecc_fill_in_curve (0, curvename, &sk.E, NULL); + if (rc) + goto leave; } - /* Guess required fields if a curve parameter has not been given. */ - if (!curvename) + else { sk.E.model = MPI_EC_WEIERSTRASS; sk.E.dialect = ECC_DIALECT_STANDARD; if (!sk.E.h) - sk.E.h = mpi_const (MPI_C_ONE); + sk.E.h = mpi_const (MPI_C_ONE); } if (DBG_CIPHER) { log_debug ("ecc_decrypt info: %s/%s\n", _gcry_ecc_model2str (sk.E.model), _gcry_ecc_dialect2str (sk.E.dialect)); if (sk.E.name) log_debug ("ecc_decrypt name: %s\n", sk.E.name); log_printmpi ("ecc_decrypt p", sk.E.p); log_printmpi ("ecc_decrypt a", sk.E.a); log_printmpi ("ecc_decrypt b", sk.E.b); log_printpnt ("ecc_decrypt g", &sk.E.G, NULL); log_printmpi ("ecc_decrypt n", sk.E.n); log_printmpi ("ecc_decrypt h", sk.E.h); if (!fips_mode ()) log_printmpi ("ecc_decrypt d", sk.d); } if (!sk.E.p || !sk.E.a || !sk.E.b || !sk.E.G.x || !sk.E.n || !sk.E.h || !sk.d) { rc = GPG_ERR_NO_OBJ; goto leave; } + if (sk.E.dialect == ECC_DIALECT_SAFECURVE || (flags & PUBKEY_FLAG_DJB_TWEAK)) + safecurve = 1; + else + safecurve = 0; ec = _gcry_mpi_ec_p_internal_new (sk.E.model, sk.E.dialect, flags, sk.E.p, sk.E.a, sk.E.b); /* * Compute the plaintext. */ if (ec->model == MPI_EC_MONTGOMERY) rc = _gcry_ecc_mont_decodepoint (data_e, ec, &kG); else rc = _gcry_ecc_os2ec (&kG, data_e); if (rc) goto leave; if (DBG_CIPHER) log_printpnt ("ecc_decrypt kG", &kG, NULL); - if ((flags & PUBKEY_FLAG_DJB_TWEAK)) + if (safecurve) { /* For X25519, by its definition, validation should not be done. */ /* (Instead, we do output check.) * * However, to mitigate secret key leak from our implementation, * we also do input validation here. For constant-time * implementation, we can remove this input validation. */ if (_gcry_mpi_ec_bad_point (&kG, ec)) { rc = GPG_ERR_INV_DATA; goto leave; } } else if (!_gcry_mpi_ec_curve_point (&kG, ec)) { rc = GPG_ERR_INV_DATA; goto leave; } /* R = dkG */ _gcry_mpi_ec_mul_point (&R, sk.d, &kG, ec); /* The following is false: assert( mpi_cmp_ui( R.x, 1 )==0 );, so: */ { gcry_mpi_t x, y; x = mpi_new (0); if (ec->model == MPI_EC_MONTGOMERY) y = NULL; else y = mpi_new (0); if (_gcry_mpi_ec_get_affine (x, y, &R, ec)) { rc = GPG_ERR_INV_DATA; goto leave; /* * Note for X25519. * * By the definition of X25519, this is the case where X25519 * returns 0, mapping infinity to zero. However, we * deliberately let it return an error. * * For X25519 ECDH, comming here means that it might be * decrypted by anyone with the shared secret of 0 (the result * of this function could be always 0 by other scalar values, * other than the private key of SK.D). * * So, it looks like an encrypted message but it can be * decrypted by anyone, or at least something wrong * happens. Recipient should not proceed as if it were * properly encrypted message. * * This handling is needed for our major usage of GnuPG, * where it does the One-Pass Diffie-Hellman method, * C(1, 1, ECC CDH), with an ephemeral key. */ } if (y) r = _gcry_ecc_ec2os (x, y, sk.E.p); else { unsigned char *rawmpi; unsigned int rawmpilen; rawmpi = _gcry_mpi_get_buffer_extra (x, nbits/8, -1, &rawmpilen, NULL); if (!rawmpi) { rc = gpg_err_code_from_syserror (); goto leave; } else { rawmpi[0] = 0x40; rawmpilen++; r = mpi_new (0); mpi_set_opaque (r, rawmpi, rawmpilen*8); } } if (!r) rc = gpg_err_code_from_syserror (); else rc = 0; mpi_free (x); mpi_free (y); } if (DBG_CIPHER) log_printmpi ("ecc_decrypt res", r); if (!rc) rc = sexp_build (r_plain, NULL, "(value %m)", r); leave: point_free (&R); point_free (&kG); _gcry_mpi_release (r); _gcry_mpi_release (sk.E.p); _gcry_mpi_release (sk.E.a); _gcry_mpi_release (sk.E.b); _gcry_mpi_release (mpi_g); point_free (&sk.E.G); _gcry_mpi_release (sk.E.n); _gcry_mpi_release (sk.E.h); _gcry_mpi_release (sk.d); _gcry_mpi_release (data_e); xfree (curvename); sexp_release (l1); _gcry_mpi_ec_free (ec); _gcry_pk_util_free_encoding_ctx (&ctx); if (DBG_CIPHER) log_debug ("ecc_decrypt => %s\n", gpg_strerror (rc)); return rc; } /* Return the number of bits for the key described by PARMS. On error * 0 is returned. The format of PARMS starts with the algorithm name; * for example: * * (ecc * (curve ) * (p ) * (a ) * (b ) * (g ) * (n ) * (q )) * * More parameters may be given. Either P or CURVE is needed. */ static unsigned int ecc_get_nbits (gcry_sexp_t parms) { gcry_sexp_t l1; gcry_mpi_t p; unsigned int nbits = 0; char *curve; l1 = sexp_find_token (parms, "p", 1); if (!l1) { /* Parameter P not found - check whether we have "curve". */ l1 = sexp_find_token (parms, "curve", 5); if (!l1) return 0; /* Neither P nor CURVE found. */ curve = sexp_nth_string (l1, 1); sexp_release (l1); if (!curve) return 0; /* No curve name given (or out of core). */ if (_gcry_ecc_fill_in_curve (0, curve, NULL, &nbits)) nbits = 0; xfree (curve); } else { p = sexp_nth_mpi (l1, 1, GCRYMPI_FMT_USG); sexp_release (l1); if (p) { nbits = mpi_get_nbits (p); _gcry_mpi_release (p); } } return nbits; } /* See rsa.c for a description of this function. */ static gpg_err_code_t compute_keygrip (gcry_md_hd_t md, gcry_sexp_t keyparms) { #define N_COMPONENTS 7 static const char names[N_COMPONENTS] = "pabgnhq"; gpg_err_code_t rc; gcry_sexp_t l1; gcry_mpi_t values[N_COMPONENTS]; int idx; char *curvename = NULL; int flags = 0; enum gcry_mpi_ec_models model = 0; enum ecc_dialects dialect = 0; const unsigned char *raw; unsigned int n; /* Clear the values first. */ for (idx=0; idx < N_COMPONENTS; idx++) values[idx] = NULL; /* Look for flags. */ l1 = sexp_find_token (keyparms, "flags", 0); if (l1) { rc = _gcry_pk_util_parse_flaglist (l1, &flags, NULL); if (rc) goto leave; } /* Extract the parameters. */ if ((flags & PUBKEY_FLAG_PARAM)) rc = sexp_extract_param (keyparms, NULL, "p?a?b?g?n?h?/q", &values[0], &values[1], &values[2], &values[3], &values[4], &values[5], &values[6], NULL); else rc = sexp_extract_param (keyparms, NULL, "/q", &values[6], NULL); if (rc) goto leave; /* Check whether a curve parameter is available and use that to fill in missing values. */ sexp_release (l1); l1 = sexp_find_token (keyparms, "curve", 5); if (l1) { curvename = sexp_nth_string (l1, 1); if (curvename) { rc = _gcry_ecc_update_curve_param (curvename, &model, &dialect, &values[0], &values[1], &values[2], &values[3], &values[4], &values[5]); if (rc) goto leave; } } /* Guess required fields if a curve parameter has not been given. FIXME: This is a crude hacks. We need to fix that. */ if (!curvename) { model = ((flags & PUBKEY_FLAG_EDDSA) ? MPI_EC_EDWARDS : MPI_EC_WEIERSTRASS); dialect = ((flags & PUBKEY_FLAG_EDDSA) ? ECC_DIALECT_ED25519 : ECC_DIALECT_STANDARD); if (!values[5]) values[5] = mpi_const (MPI_C_ONE); } /* Check that all parameters are known and normalize all MPIs (that should not be required but we use an internal function later and thus we better make 100% sure that they are normalized). */ for (idx = 0; idx < N_COMPONENTS; idx++) if (!values[idx]) { rc = GPG_ERR_NO_OBJ; goto leave; } else _gcry_mpi_normalize (values[idx]); /* Uncompress the public key with the exception of EdDSA where compression is the default and we thus compute the keygrip using the compressed version. Because we don't support any non-eddsa compression, the only thing we need to do is to compress EdDSA. */ if ((flags & PUBKEY_FLAG_EDDSA) && dialect == ECC_DIALECT_ED25519) { const unsigned int pbits = mpi_get_nbits (values[0]); rc = _gcry_ecc_eddsa_ensure_compact (values[6], pbits); if (rc) goto leave; } - else if ((flags & PUBKEY_FLAG_DJB_TWEAK)) + else if (dialect == ECC_DIALECT_SAFECURVE || (flags & PUBKEY_FLAG_DJB_TWEAK)) { /* Remove the prefix 0x40 for keygrip computation. */ raw = mpi_get_opaque (values[6], &n); if (raw) { n = (n + 7)/8; if (n > 1 && (n%2) && raw[0] == 0x40) if (!_gcry_mpi_set_opaque_copy (values[6], raw + 1, (n - 1)*8)) rc = gpg_err_code_from_syserror (); } else { rc = GPG_ERR_INV_OBJ; goto leave; } } /* Hash them all. */ for (idx = 0; idx < N_COMPONENTS; idx++) { char buf[30]; if (idx == 5) continue; /* Skip cofactor. */ if (mpi_is_opaque (values[idx])) { raw = mpi_get_opaque (values[idx], &n); n = (n + 7)/8; snprintf (buf, sizeof buf, "(1:%c%u:", names[idx], n); _gcry_md_write (md, buf, strlen (buf)); _gcry_md_write (md, raw, n); _gcry_md_write (md, ")", 1); } else { unsigned char *rawmpi; unsigned int rawmpilen; rawmpi = _gcry_mpi_get_buffer (values[idx], 0, &rawmpilen, NULL); if (!rawmpi) { rc = gpg_err_code_from_syserror (); goto leave; } snprintf (buf, sizeof buf, "(1:%c%u:", names[idx], rawmpilen); _gcry_md_write (md, buf, strlen (buf)); _gcry_md_write (md, rawmpi, rawmpilen); _gcry_md_write (md, ")", 1); xfree (rawmpi); } } leave: xfree (curvename); sexp_release (l1); for (idx = 0; idx < N_COMPONENTS; idx++) _gcry_mpi_release (values[idx]); return rc; #undef N_COMPONENTS } /* Low-level API helper functions. */ /* This is the worker function for gcry_pubkey_get_sexp for ECC algorithms. Note that the caller has already stored NULL at R_SEXP. */ gpg_err_code_t _gcry_pk_ecc_get_sexp (gcry_sexp_t *r_sexp, int mode, mpi_ec_t ec) { gpg_err_code_t rc; gcry_mpi_t mpi_G = NULL; gcry_mpi_t mpi_Q = NULL; if (!ec->p || !ec->a || !ec->b || !ec->G || !ec->n || !ec->h) return GPG_ERR_BAD_CRYPT_CTX; if (mode == GCRY_PK_GET_SECKEY && !ec->d) return GPG_ERR_NO_SECKEY; /* Compute the public point if it is missing. */ if (!ec->Q && ec->d) ec->Q = _gcry_ecc_compute_public (NULL, ec, NULL, NULL); /* Encode G and Q. */ mpi_G = _gcry_mpi_ec_ec2os (ec->G, ec); if (!mpi_G) { rc = GPG_ERR_BROKEN_PUBKEY; goto leave; } if (!ec->Q) { rc = GPG_ERR_BAD_CRYPT_CTX; goto leave; } if (ec->dialect == ECC_DIALECT_ED25519) { unsigned char *encpk; unsigned int encpklen; rc = _gcry_ecc_eddsa_encodepoint (ec->Q, ec, NULL, NULL, 0, &encpk, &encpklen); if (rc) goto leave; mpi_Q = mpi_set_opaque (NULL, encpk, encpklen*8); encpk = NULL; } else if (ec->model == MPI_EC_MONTGOMERY) { unsigned char *encpk; unsigned int encpklen; encpk = _gcry_mpi_get_buffer_extra (ec->Q->x, (ec->nbits+7)/8, -1, &encpklen, NULL); if (encpk == NULL) rc = gpg_err_code_from_syserror (); else { encpk[0] = 0x40; encpklen++; rc = 0; } if (rc) goto leave; mpi_Q = mpi_set_opaque (NULL, encpk, encpklen*8); } else { mpi_Q = _gcry_mpi_ec_ec2os (ec->Q, ec); } if (!mpi_Q) { rc = GPG_ERR_BROKEN_PUBKEY; goto leave; } /* Fixme: We should return a curve name instead of the parameters if if know that they match a curve. */ if (ec->d && (!mode || mode == GCRY_PK_GET_SECKEY)) { /* Let's return a private key. */ rc = sexp_build (r_sexp, NULL, "(private-key(ecc(p%m)(a%m)(b%m)(g%m)(n%m)(h%m)(q%m)(d%m)))", ec->p, ec->a, ec->b, mpi_G, ec->n, ec->h, mpi_Q, ec->d); } else if (ec->Q) { /* Let's return a public key. */ rc = sexp_build (r_sexp, NULL, "(public-key(ecc(p%m)(a%m)(b%m)(g%m)(n%m)(h%m)(q%m)))", ec->p, ec->a, ec->b, mpi_G, ec->n, ec->h, mpi_Q); } else rc = GPG_ERR_BAD_CRYPT_CTX; leave: mpi_free (mpi_Q); mpi_free (mpi_G); return rc; } /* Self-test section. */ static const char * selftest_sign (gcry_sexp_t pkey, gcry_sexp_t skey) { /* Sample data from RFC 6979 section A.2.5, hash is of message "sample" */ static const char sample_data[] = "(data (flags rfc6979)" " (hash sha256 #af2bdbe1aa9b6ec1e2ade1d694f41fc71a831d0268e98915" /**/ "62113d8a62add1bf#))"; static const char sample_data_bad[] = "(data (flags rfc6979)" " (hash sha256 #bf2bdbe1aa9b6ec1e2ade1d694f41fc71a831d0268e98915" /**/ "62113d8a62add1bf#))"; static const char signature_r[] = "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716"; static const char signature_s[] = "f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8"; const char *errtxt = NULL; gcry_error_t err; gcry_sexp_t data = NULL; gcry_sexp_t data_bad = NULL; gcry_sexp_t sig = NULL; gcry_sexp_t l1 = NULL; gcry_sexp_t l2 = NULL; gcry_mpi_t r = NULL; gcry_mpi_t s = NULL; gcry_mpi_t calculated_r = NULL; gcry_mpi_t calculated_s = NULL; int cmp; err = sexp_sscan (&data, NULL, sample_data, strlen (sample_data)); if (!err) err = sexp_sscan (&data_bad, NULL, sample_data_bad, strlen (sample_data_bad)); if (!err) err = _gcry_mpi_scan (&r, GCRYMPI_FMT_HEX, signature_r, 0, NULL); if (!err) err = _gcry_mpi_scan (&s, GCRYMPI_FMT_HEX, signature_s, 0, NULL); if (err) { errtxt = "converting data failed"; goto leave; } err = _gcry_pk_sign (&sig, data, skey); if (err) { errtxt = "signing failed"; goto leave; } /* check against known signature */ errtxt = "signature validity failed"; l1 = _gcry_sexp_find_token (sig, "sig-val", 0); if (!l1) goto leave; l2 = _gcry_sexp_find_token (l1, "ecdsa", 0); if (!l2) goto leave; sexp_release (l1); l1 = l2; l2 = _gcry_sexp_find_token (l1, "r", 0); if (!l2) goto leave; calculated_r = _gcry_sexp_nth_mpi (l2, 1, GCRYMPI_FMT_USG); if (!calculated_r) goto leave; sexp_release (l2); l2 = _gcry_sexp_find_token (l1, "s", 0); if (!l2) goto leave; calculated_s = _gcry_sexp_nth_mpi (l2, 1, GCRYMPI_FMT_USG); if (!calculated_s) goto leave; errtxt = "known sig check failed"; cmp = _gcry_mpi_cmp (r, calculated_r); if (cmp) goto leave; cmp = _gcry_mpi_cmp (s, calculated_s); if (cmp) goto leave; errtxt = NULL; /* verify generated signature */ err = _gcry_pk_verify (sig, data, pkey); if (err) { errtxt = "verify failed"; goto leave; } err = _gcry_pk_verify (sig, data_bad, pkey); if (gcry_err_code (err) != GPG_ERR_BAD_SIGNATURE) { errtxt = "bad signature not detected"; goto leave; } leave: sexp_release (sig); sexp_release (data_bad); sexp_release (data); sexp_release (l1); sexp_release (l2); mpi_release (r); mpi_release (s); mpi_release (calculated_r); mpi_release (calculated_s); return errtxt; } static gpg_err_code_t selftests_ecdsa (selftest_report_func_t report) { const char *what; const char *errtxt; gcry_error_t err; gcry_sexp_t skey = NULL; gcry_sexp_t pkey = NULL; what = "convert"; err = sexp_sscan (&skey, NULL, sample_secret_key_secp256, strlen (sample_secret_key_secp256)); if (!err) err = sexp_sscan (&pkey, NULL, sample_public_key_secp256, strlen (sample_public_key_secp256)); if (err) { errtxt = _gcry_strerror (err); goto failed; } what = "key consistency"; err = ecc_check_secret_key(skey); if (err) { errtxt = _gcry_strerror (err); goto failed; } what = "sign"; errtxt = selftest_sign (pkey, skey); if (errtxt) goto failed; sexp_release(pkey); sexp_release(skey); return 0; /* Succeeded. */ failed: sexp_release(pkey); sexp_release(skey); if (report) report ("pubkey", GCRY_PK_ECC, what, errtxt); return GPG_ERR_SELFTEST_FAILED; } /* Run a full self-test for ALGO and return 0 on success. */ static gpg_err_code_t run_selftests (int algo, int extended, selftest_report_func_t report) { (void)extended; if (algo != GCRY_PK_ECC) return GPG_ERR_PUBKEY_ALGO; return selftests_ecdsa (report); } gcry_pk_spec_t _gcry_pubkey_spec_ecc = { GCRY_PK_ECC, { 0, 1 }, (GCRY_PK_USAGE_SIGN | GCRY_PK_USAGE_ENCR), "ECC", ecc_names, "pabgnhq", "pabgnhqd", "sw", "rs", "pabgnhq", ecc_generate, ecc_check_secret_key, ecc_encrypt_raw, ecc_decrypt_raw, ecc_sign, ecc_verify, ecc_get_nbits, run_selftests, compute_keygrip, _gcry_ecc_get_curve, _gcry_ecc_get_param_sexp }; diff --git a/src/mpi.h b/src/mpi.h index aeba7f8b..ee6be2f7 100644 --- a/src/mpi.h +++ b/src/mpi.h @@ -1,320 +1,321 @@ /* mpi.h - Multi Precision Integers * Copyright (C) 1994, 1996, 1998, * 2001, 2002, 2003, 2005 Free Software Foundation, Inc. * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser general Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA * * Note: This code is heavily based on the GNU MP Library. * Actually it's the same code with only minor changes in the * way the data is stored; this is to support the abstraction * of an optional secure memory allocation which may be used * to avoid revealing of sensitive data due to paging etc. */ #ifndef G10_MPI_H #define G10_MPI_H #include #include #include #include "types.h" #include "../mpi/mpi-asm-defs.h" #include "g10lib.h" #ifndef _GCRYPT_IN_LIBGCRYPT #error this file should only be used inside libgcrypt #endif #ifndef BITS_PER_MPI_LIMB #if BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_INT typedef unsigned int mpi_limb_t; typedef signed int mpi_limb_signed_t; #elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_LONG typedef unsigned long int mpi_limb_t; typedef signed long int mpi_limb_signed_t; #elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_LONG_LONG typedef unsigned long long int mpi_limb_t; typedef signed long long int mpi_limb_signed_t; #elif BYTES_PER_MPI_LIMB == SIZEOF_UNSIGNED_SHORT typedef unsigned short int mpi_limb_t; typedef signed short int mpi_limb_signed_t; #else #error BYTES_PER_MPI_LIMB does not match any C type #endif #define BITS_PER_MPI_LIMB (8*BYTES_PER_MPI_LIMB) #endif /*BITS_PER_MPI_LIMB*/ #define DBG_MPI _gcry_get_debug_flag( 2 ); struct gcry_mpi { int alloced; /* Array size (# of allocated limbs). */ int nlimbs; /* Number of valid limbs. */ int sign; /* Indicates a negative number and is also used for opaque MPIs to store the length. */ unsigned int flags; /* Bit 0: Array to be allocated in secure memory space.*/ /* Bit 2: The limb is a pointer to some m_alloced data.*/ /* Bit 4: Immutable MPI - the MPI may not be modified. */ /* Bit 5: Constant MPI - the MPI will not be freed. */ mpi_limb_t *d; /* Array with the limbs */ }; #define MPI_NULL NULL #define mpi_get_nlimbs(a) ((a)->nlimbs) #define mpi_has_sign(a) ((a)->sign) /*-- mpiutil.c --*/ #ifdef M_DEBUG # define mpi_alloc(n) _gcry_mpi_debug_alloc((n), M_DBGINFO( __LINE__ ) ) # define mpi_alloc_secure(n) _gcry_mpi_debug_alloc_secure((n), M_DBGINFO( __LINE__ ) ) # define mpi_free(a) _gcry_mpi_debug_free((a), M_DBGINFO(__LINE__) ) # define mpi_resize(a,b) _gcry_mpi_debug_resize((a),(b), M_DBGINFO(__LINE__) ) # define mpi_copy(a) _gcry_mpi_debug_copy((a), M_DBGINFO(__LINE__) ) gcry_mpi_t _gcry_mpi_debug_alloc( unsigned nlimbs, const char *info ); gcry_mpi_t _gcry_mpi_debug_alloc_secure( unsigned nlimbs, const char *info ); void _gcry_mpi_debug_free( gcry_mpi_t a, const char *info ); void _gcry_mpi_debug_resize( gcry_mpi_t a, unsigned nlimbs, const char *info ); gcry_mpi_t _gcry_mpi_debug_copy( gcry_mpi_t a, const char *info ); #else # define mpi_alloc(n) _gcry_mpi_alloc((n) ) # define mpi_alloc_secure(n) _gcry_mpi_alloc_secure((n) ) # define mpi_free(a) _gcry_mpi_free((a) ) # define mpi_resize(a,b) _gcry_mpi_resize((a),(b)) # define mpi_copy(a) _gcry_mpi_copy((a)) gcry_mpi_t _gcry_mpi_alloc( unsigned nlimbs ); gcry_mpi_t _gcry_mpi_alloc_secure( unsigned nlimbs ); void _gcry_mpi_free( gcry_mpi_t a ); void _gcry_mpi_resize( gcry_mpi_t a, unsigned nlimbs ); gcry_mpi_t _gcry_mpi_copy( gcry_mpi_t a ); #endif void _gcry_mpi_immutable_failed (void); #define mpi_immutable_failed() _gcry_mpi_immutable_failed () #define mpi_is_const(a) ((a)->flags&32) #define mpi_is_immutable(a) ((a)->flags&16) #define mpi_is_opaque(a) ((a) && ((a)->flags&4)) #define mpi_is_secure(a) ((a) && ((a)->flags&1)) #define mpi_clear(a) _gcry_mpi_clear ((a)) #define mpi_alloc_like(a) _gcry_mpi_alloc_like((a)) #define mpi_alloc_set_ui(a) _gcry_mpi_alloc_set_ui ((a)) #define mpi_m_check(a) _gcry_mpi_m_check ((a)) #define mpi_const(n) _gcry_mpi_const ((n)) #define mpi_swap_cond(a,b,sw) _gcry_mpi_swap_cond ((a),(b),(sw)) #define mpi_set_cond(w,u,set) _gcry_mpi_set_cond ((w),(u),(set)) void _gcry_mpi_clear( gcry_mpi_t a ); gcry_mpi_t _gcry_mpi_set_cond (gcry_mpi_t w, const gcry_mpi_t u, unsigned long swap); gcry_mpi_t _gcry_mpi_alloc_like( gcry_mpi_t a ); gcry_mpi_t _gcry_mpi_alloc_set_ui( unsigned long u); void _gcry_mpi_m_check( gcry_mpi_t a ); void _gcry_mpi_swap( gcry_mpi_t a, gcry_mpi_t b); void _gcry_mpi_swap_cond (gcry_mpi_t a, gcry_mpi_t b, unsigned long swap); gcry_mpi_t _gcry_mpi_new (unsigned int nbits); gcry_mpi_t _gcry_mpi_snew (unsigned int nbits); gcry_mpi_t _gcry_mpi_set_opaque_copy (gcry_mpi_t a, const void *p, unsigned int nbits); void *_gcry_mpi_get_opaque_copy (gcry_mpi_t a, unsigned int *nbits); int _gcry_mpi_is_neg (gcry_mpi_t a); void _gcry_mpi_neg (gcry_mpi_t w, gcry_mpi_t u); void _gcry_mpi_abs (gcry_mpi_t w); /* Constants used to return constant MPIs. See _gcry_mpi_init if you want to add more constants. */ #define MPI_NUMBER_OF_CONSTANTS 6 enum gcry_mpi_constants { MPI_C_ZERO, MPI_C_ONE, MPI_C_TWO, MPI_C_THREE, MPI_C_FOUR, MPI_C_EIGHT }; gcry_mpi_t _gcry_mpi_const (enum gcry_mpi_constants no); /*-- mpicoder.c --*/ void _gcry_log_mpidump( const char *text, gcry_mpi_t a ); u32 _gcry_mpi_get_keyid( gcry_mpi_t a, u32 *keyid ); byte *_gcry_mpi_get_buffer (gcry_mpi_t a, unsigned int fill_le, unsigned int *r_nbytes, int *sign); byte *_gcry_mpi_get_buffer_extra (gcry_mpi_t a, unsigned int fill_le, int extraalloc, unsigned int *r_nbytes, int *sign); byte *_gcry_mpi_get_secure_buffer (gcry_mpi_t a, unsigned int fill_le, unsigned *r_nbytes, int *sign); void _gcry_mpi_set_buffer ( gcry_mpi_t a, const void *buffer, unsigned int nbytes, int sign ); gpg_err_code_t _gcry_mpi_to_octet_string (unsigned char **r_frame, void *space, gcry_mpi_t value, size_t nbytes); /*-- mpi-div.c --*/ #define mpi_fdiv_r_ui(a,b,c) _gcry_mpi_fdiv_r_ui((a),(b),(c)) #define mpi_fdiv_r(a,b,c) _gcry_mpi_fdiv_r((a),(b),(c)) #define mpi_fdiv_q(a,b,c) _gcry_mpi_fdiv_q((a),(b),(c)) #define mpi_fdiv_qr(a,b,c,d) _gcry_mpi_fdiv_qr((a),(b),(c),(d)) #define mpi_tdiv_r(a,b,c) _gcry_mpi_tdiv_r((a),(b),(c)) #define mpi_tdiv_qr(a,b,c,d) _gcry_mpi_tdiv_qr((a),(b),(c),(d)) #define mpi_tdiv_q_2exp(a,b,c) _gcry_mpi_tdiv_q_2exp((a),(b),(c)) #define mpi_divisible_ui(a,b) _gcry_mpi_divisible_ui((a),(b)) ulong _gcry_mpi_fdiv_r_ui( gcry_mpi_t rem, gcry_mpi_t dividend, ulong divisor ); void _gcry_mpi_fdiv_r( gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor ); void _gcry_mpi_fdiv_q( gcry_mpi_t quot, gcry_mpi_t dividend, gcry_mpi_t divisor ); void _gcry_mpi_fdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t dividend, gcry_mpi_t divisor ); void _gcry_mpi_tdiv_r( gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den); void _gcry_mpi_tdiv_qr( gcry_mpi_t quot, gcry_mpi_t rem, gcry_mpi_t num, gcry_mpi_t den); void _gcry_mpi_tdiv_q_2exp( gcry_mpi_t w, gcry_mpi_t u, unsigned count ); int _gcry_mpi_divisible_ui(gcry_mpi_t dividend, ulong divisor ); /*-- mpi-mod.c --*/ #define mpi_barrett_init(m,f) _gcry_mpi_barrett_init ((m),(f)) #define mpi_barrett_free(c) _gcry_mpi_barrett_free ((c)) #define mpi_mod_barrett(r,a,c) _gcry_mpi_mod_barrett ((r), (a), (c)) #define mpi_mul_barrett(r,u,v,c) _gcry_mpi_mul_barrett ((r), (u), (v), (c)) /* Context used with Barrett reduction. */ struct barrett_ctx_s; typedef struct barrett_ctx_s *mpi_barrett_t; mpi_barrett_t _gcry_mpi_barrett_init (gcry_mpi_t m, int copy); void _gcry_mpi_barrett_free (mpi_barrett_t ctx); void _gcry_mpi_mod_barrett (gcry_mpi_t r, gcry_mpi_t x, mpi_barrett_t ctx); void _gcry_mpi_mul_barrett (gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t v, mpi_barrett_t ctx); /*-- mpi-mpow.c --*/ #define mpi_mulpowm(a,b,c,d) _gcry_mpi_mulpowm ((a),(b),(c),(d)) void _gcry_mpi_mulpowm( gcry_mpi_t res, gcry_mpi_t *basearray, gcry_mpi_t *exparray, gcry_mpi_t mod); /*-- mpi-scan.c --*/ #define mpi_trailing_zeros(a) _gcry_mpi_trailing_zeros ((a)) int _gcry_mpi_getbyte( gcry_mpi_t a, unsigned idx ); void _gcry_mpi_putbyte( gcry_mpi_t a, unsigned idx, int value ); unsigned _gcry_mpi_trailing_zeros( gcry_mpi_t a ); /*-- mpi-bit.c --*/ #define mpi_normalize(a) _gcry_mpi_normalize ((a)) void _gcry_mpi_normalize( gcry_mpi_t a ); /*-- ec.c --*/ /* Object to represent a point in projective coordinates. */ struct gcry_mpi_point { gcry_mpi_t x; gcry_mpi_t y; gcry_mpi_t z; }; typedef struct gcry_mpi_point mpi_point_struct; typedef struct gcry_mpi_point *mpi_point_t; void _gcry_mpi_point_init (mpi_point_t p); void _gcry_mpi_point_free_parts (mpi_point_t p); void _gcry_mpi_get_point (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t z, mpi_point_t point); void _gcry_mpi_snatch_point (gcry_mpi_t x, gcry_mpi_t y, gcry_mpi_t z, mpi_point_t point); /* Models describing an elliptic curve. */ enum gcry_mpi_ec_models { /* The Short Weierstrass equation is y^2 = x^3 + ax + b */ MPI_EC_WEIERSTRASS = 0, /* The Montgomery equation is by^2 = x^3 + ax^2 + x */ MPI_EC_MONTGOMERY, /* The Twisted Edwards equation is ax^2 + y^2 = 1 + bx^2y^2 Note that we use 'b' instead of the commonly used 'd'. */ MPI_EC_EDWARDS }; /* Dialects used with elliptic curves. It is easier to keep the definition here than in ecc-common.h. */ enum ecc_dialects { ECC_DIALECT_STANDARD = 0, - ECC_DIALECT_ED25519 + ECC_DIALECT_ED25519, + ECC_DIALECT_SAFECURVE }; void _gcry_mpi_point_log (const char *name, mpi_point_t point, mpi_ec_t ctx); #define log_printpnt(a,p,c) _gcry_mpi_point_log ((a), (p), (c)) mpi_ec_t _gcry_mpi_ec_p_internal_new (enum gcry_mpi_ec_models model, enum ecc_dialects dialect, int flags, gcry_mpi_t p, gcry_mpi_t a, gcry_mpi_t b); gpg_err_code_t _gcry_mpi_ec_p_new (gcry_ctx_t *r_ctx, enum gcry_mpi_ec_models model, enum ecc_dialects dialect, int flags, gcry_mpi_t p, gcry_mpi_t a, gcry_mpi_t b); void _gcry_mpi_ec_free (mpi_ec_t ctx); void _gcry_mpi_ec_dup_point (mpi_point_t result, mpi_point_t point, mpi_ec_t ctx); void _gcry_mpi_ec_add_points (mpi_point_t result, mpi_point_t p1, mpi_point_t p2, mpi_ec_t ctx); void _gcry_mpi_ec_sub_points (mpi_point_t result, mpi_point_t p1, mpi_point_t p2, mpi_ec_t ctx); void _gcry_mpi_ec_mul_point (mpi_point_t result, gcry_mpi_t scalar, mpi_point_t point, mpi_ec_t ctx); int _gcry_mpi_ec_curve_point (gcry_mpi_point_t point, mpi_ec_t ctx); int _gcry_mpi_ec_bad_point (gcry_mpi_point_t point, mpi_ec_t ctx); gcry_mpi_t _gcry_mpi_ec_ec2os (gcry_mpi_point_t point, mpi_ec_t ectx); gcry_mpi_t _gcry_mpi_ec_get_mpi (const char *name, gcry_ctx_t ctx, int copy); gcry_mpi_point_t _gcry_mpi_ec_get_point (const char *name, gcry_ctx_t ctx, int copy); gpg_err_code_t _gcry_mpi_ec_set_mpi (const char *name, gcry_mpi_t newvalue, gcry_ctx_t ctx); gpg_err_code_t _gcry_mpi_ec_set_point (const char *name, gcry_mpi_point_t newvalue, gcry_ctx_t ctx); gpg_err_code_t _gcry_mpi_ec_decode_point (mpi_point_t result, gcry_mpi_t value, mpi_ec_t ec); /*-- ecc-curves.c --*/ gpg_err_code_t _gcry_mpi_ec_new (gcry_ctx_t *r_ctx, gcry_sexp_t keyparam, const char *curvename); #endif /*G10_MPI_H*/ diff --git a/tests/t-x448.c b/tests/t-x448.c index e008b98f..35e85f77 100644 --- a/tests/t-x448.c +++ b/tests/t-x448.c @@ -1,602 +1,601 @@ /* t-x448.c - Check the X488 computation * Copyright (C) 2019 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with this program; if not, see . * SPDX-License-Identifier: LGPL-2.1+ */ #ifdef HAVE_CONFIG_H #include #endif #include #include #include #include #include #include #include "stopwatch.h" #define PGM "t-x448" #include "t-common.h" #define N_TESTS 9 static void print_mpi (const char *text, gcry_mpi_t a) { gcry_error_t err; char *buf; void *bufaddr = &buf; err = gcry_mpi_aprint (GCRYMPI_FMT_HEX, bufaddr, NULL, a); if (err) fprintf (stderr, "%s: [error printing number: %s]\n", text, gpg_strerror (err)); else { fprintf (stderr, "%s: %s\n", text, buf); gcry_free (buf); } } static void show_note (const char *format, ...) { va_list arg_ptr; if (!verbose && getenv ("srcdir")) fputs (" ", stderr); /* To align above "PASS: ". */ else fprintf (stderr, "%s: ", PGM); va_start (arg_ptr, format); vfprintf (stderr, format, arg_ptr); if (*format && format[strlen(format)-1] != '\n') putc ('\n', stderr); va_end (arg_ptr); } /* Convert STRING consisting of hex characters into its binary representation and return it as an allocated buffer. The valid length of the buffer is returned at R_LENGTH. The string is delimited by end of string. The function returns NULL on error. */ static void * hex2buffer (const char *string, size_t *r_length) { const char *s; unsigned char *buffer; size_t length; buffer = xmalloc (strlen(string)/2+1); length = 0; for (s=string; *s; s +=2 ) { if (!hexdigitp (s) || !hexdigitp (s+1)) return NULL; /* Invalid hex digits. */ ((unsigned char*)buffer)[length++] = xtoi_2 (s); } *r_length = length; return buffer; } static void reverse_buffer (unsigned char *buffer, unsigned int length) { unsigned int tmp, i; for (i=0; i < length/2; i++) { tmp = buffer[i]; buffer[i] = buffer[length-1-i]; buffer[length-1-i] = tmp; } } /* * Test X448 functionality through higher layer crypto routines. * * Input: K (as hex string), U (as hex string), R (as hex string) * * where R is expected result of X448 (K, U). * */ static void test_cv_hl (int testno, const char *k_str, const char *u_str, const char *result_str) { gpg_error_t err; void *buffer = NULL; size_t buflen; gcry_sexp_t s_pk = NULL; gcry_mpi_t mpi_k = NULL; gcry_sexp_t s_data = NULL; gcry_sexp_t s_result = NULL; gcry_sexp_t s_tmp = NULL; unsigned char *res = NULL; size_t res_len; if (verbose > 1) info ("Running test %d\n", testno); if (!(buffer = hex2buffer (k_str, &buflen)) || buflen != 56) { fail ("error building s-exp for test %d, %s: %s", testno, "k", "invalid hex string"); goto leave; } reverse_buffer (buffer, buflen); if ((err = gcry_mpi_scan (&mpi_k, GCRYMPI_FMT_USG, buffer, buflen, NULL))) { fail ("error converting MPI for test %d: %s", testno, gpg_strerror (err)); goto leave; } if ((err = gcry_sexp_build (&s_data, NULL, "%m", mpi_k))) { fail ("error building s-exp for test %d, %s: %s", testno, "data", gpg_strerror (err)); goto leave; } xfree (buffer); if (!(buffer = hex2buffer (u_str, &buflen)) || buflen != 56) { fail ("error building s-exp for test %d, %s: %s", testno, "u", "invalid hex string"); goto leave; } /* * The procedure of decodeUCoordinate will be done internally * by _gcry_ecc_mont_decodepoint. So, we just put the little-endian * binary to build S-exp. * * We could add the prefix 0x40, but libgcrypt also supports * format with no prefix. So, it is OK not to put the prefix. */ if ((err = gcry_sexp_build (&s_pk, NULL, "(public-key" " (ecc" " (curve \"X448\")" - " (flags djb-tweak)" " (q%b)))", (int)buflen, buffer))) { fail ("error building s-exp for test %d, %s: %s", testno, "pk", gpg_strerror (err)); goto leave; } xfree (buffer); buffer = NULL; if ((err = gcry_pk_encrypt (&s_result, s_data, s_pk))) fail ("gcry_pk_encrypt failed for test %d: %s", testno, gpg_strerror (err)); s_tmp = gcry_sexp_find_token (s_result, "s", 0); if (!s_tmp || !(res = gcry_sexp_nth_buffer (s_tmp, 1, &res_len))) fail ("gcry_pk_encrypt failed for test %d: %s", testno, "missing value"); else { char *r, *r0; int i; /* To skip the prefix 0x40, for-loop start with i=1 */ r0 = r = xmalloc (2*(res_len)+1); if (!r0) { fail ("memory allocation for test %d", testno); goto leave; } for (i=1; i < res_len; i++, r += 2) snprintf (r, 3, "%02x", res[i]); if (strcmp (result_str, r0)) { fail ("gcry_pk_encrypt failed for test %d: %s", testno, "wrong value returned"); info (" expected: '%s'", result_str); info (" got: '%s'", r0); } xfree (r0); } leave: xfree (res); gcry_mpi_release (mpi_k); gcry_sexp_release (s_tmp); gcry_sexp_release (s_result); gcry_sexp_release (s_data); gcry_sexp_release (s_pk); xfree (buffer); } /* * Test X448 functionality through the API for X448. * * Input: K (as hex string), U (as hex string), R (as hex string) * * where R is expected result of X448 (K, U). * */ static void test_cv_x448 (int testno, const char *k_str, const char *u_str, const char *result_str) { gpg_error_t err; void *scalar; void *point = NULL; size_t buflen; unsigned char result[56]; char result_hex[113]; int i; if (verbose > 1) info ("Running test %d\n", testno); if (!(scalar = hex2buffer (k_str, &buflen)) || buflen != 56) { fail ("error building s-exp for test %d, %s: %s", testno, "k", "invalid hex string"); goto leave; } if (!(point = hex2buffer (u_str, &buflen)) || buflen != 56) { fail ("error building s-exp for test %d, %s: %s", testno, "u", "invalid hex string"); goto leave; } if ((err = gcry_ecc_mul_point (GCRY_ECC_CURVE448, result, scalar, point))) fail ("gcry_ecc_mul_point failed for test %d: %s", testno, gpg_strerror (err)); for (i=0; i < 56; i++) snprintf (&result_hex[i*2], 3, "%02x", result[i]); if (strcmp (result_str, result_hex)) { fail ("gcry_ecc_mul_point failed for test %d: %s", testno, "wrong value returned"); info (" expected: '%s'", result_str); info (" got: '%s'", result_hex); } leave: xfree (scalar); xfree (point); } static void test_cv (int testno, const char *k_str, const char *u_str, const char *result_str) { test_cv_hl (testno, k_str, u_str, result_str); test_cv_x448 (testno, k_str, u_str, result_str); } /* * Test iterative X448 computation through lower layer MPI routines. * * Input: K (as hex string), ITER, R (as hex string) * * where R is expected result of iterating X448 by ITER times. * */ static void test_it (int testno, const char *k_str, int iter, const char *result_str) { gcry_ctx_t ctx; gpg_error_t err; void *buffer = NULL; size_t buflen; gcry_mpi_t mpi_k = NULL; gcry_mpi_t mpi_x = NULL; gcry_mpi_point_t P = NULL; gcry_mpi_point_t Q; int i; gcry_mpi_t mpi_kk = NULL; if (verbose > 1) info ("Running test %d: iteration=%d\n", testno, iter); gcry_mpi_ec_new (&ctx, NULL, "X448"); Q = gcry_mpi_point_new (0); if (!(buffer = hex2buffer (k_str, &buflen)) || buflen != 56) { fail ("error scanning MPI for test %d, %s: %s", testno, "k", "invalid hex string"); goto leave; } reverse_buffer (buffer, buflen); if ((err = gcry_mpi_scan (&mpi_x, GCRYMPI_FMT_USG, buffer, buflen, NULL))) { fail ("error scanning MPI for test %d, %s: %s", testno, "x", gpg_strerror (err)); goto leave; } xfree (buffer); buffer = NULL; P = gcry_mpi_point_set (NULL, mpi_x, NULL, GCRYMPI_CONST_ONE); mpi_k = gcry_mpi_copy (mpi_x); if (debug) print_mpi ("k", mpi_k); for (i = 0; i < iter; i++) { /* * Another variant of decodeScalar448 thing. */ mpi_kk = gcry_mpi_set (mpi_kk, mpi_k); gcry_mpi_set_bit (mpi_kk, 447); gcry_mpi_clear_bit (mpi_kk, 0); gcry_mpi_clear_bit (mpi_kk, 1); gcry_mpi_ec_mul (Q, mpi_kk, P, ctx); P = gcry_mpi_point_set (P, mpi_k, NULL, GCRYMPI_CONST_ONE); gcry_mpi_ec_get_affine (mpi_k, NULL, Q, ctx); if (debug) print_mpi ("k", mpi_k); } { unsigned char res[56]; char *r, *r0; gcry_mpi_print (GCRYMPI_FMT_USG, res, 56, NULL, mpi_k); reverse_buffer (res, 56); r0 = r = xmalloc (113); if (!r0) { fail ("memory allocation for test %d", testno); goto leave; } for (i=0; i < 56; i++, r += 2) snprintf (r, 3, "%02x", res[i]); if (strcmp (result_str, r0)) { fail ("X448 failed for test %d: %s", testno, "wrong value returned"); info (" expected: '%s'", result_str); info (" got: '%s'", r0); } xfree (r0); } leave: gcry_mpi_release (mpi_kk); gcry_mpi_release (mpi_k); gcry_mpi_point_release (P); gcry_mpi_release (mpi_x); xfree (buffer); gcry_mpi_point_release (Q); gcry_ctx_release (ctx); } /* * X-coordinate of generator of the X448. */ #define G_X ("0500000000000000000000000000000000000000000000000000000000000000" \ "000000000000000000000000000000000000000000000000") /* * Test Diffie-Hellman in RFC-7748. * * Note that it's not like the ECDH of OpenPGP, where we use * ephemeral public key. */ static void test_dh (int testno, const char *a_priv_str, const char *a_pub_str, const char *b_priv_str, const char *b_pub_str, const char *result_str) { /* Test A for private key corresponds to public key. */ test_cv (testno, a_priv_str, G_X, a_pub_str); /* Test B for private key corresponds to public key. */ test_cv (testno, b_priv_str, G_X, b_pub_str); /* Test DH with A's private key and B's public key. */ test_cv (testno, a_priv_str, b_pub_str, result_str); /* Test DH with B's private key and A's public key. */ test_cv (testno, b_priv_str, a_pub_str, result_str); } static void check_x448 (void) { int ntests; info ("Checking X448.\n"); ntests = 0; /* * Values are cited from RFC-7748: 5.2. Test Vectors. * Following two tests are for the first type test. */ test_cv (1, "3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121" "700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3", "06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9" "814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086", "ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239f" "e14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f"); ntests++; test_cv (2, "203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c5" "38345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f", "0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b" "165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db", "884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7" "ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d"); ntests++; /* * Additional test. Value is from second type test. */ test_cv (3, G_X, G_X, "3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a" "4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113"); ntests++; /* * Following two tests are for the second type test, * with one iteration and 1,000 iterations. (1,000,000 iterations * takes too long.) */ test_it (4, G_X, 1, "3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a" "4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113"); ntests++; test_it (5, G_X, 1000, "aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4" "af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38"); ntests++; /* * Last test is from: 6. Diffie-Hellman, 6.2. Curve448 */ test_dh (6, /* Alice's private key, a */ "9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28d" "d9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b", /* Alice's public key, X448(a, 5) */ "9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c" "22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0", /* Bob's private key, b */ "1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d" "6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d", /* Bob's public key, X448(b, 5) */ "3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b430" "27d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609", /* Their shared secret, K */ "07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282b" "b60c0b56fd2464c335543936521c24403085d59a449a5037514a879d"); ntests++; /* three tests which results 0. */ test_cv (7, "3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121" "700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3", "00000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (8, "3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121" "700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3", "01000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (9, "3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121" "700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3", "feffffffffffffffffffffffffffffffffffffffffffffffffffffff" "feffffffffffffffffffffffffffffffffffffffffffffffffffffff", "00000000000000000000000000000000000000000000000000000000" "00000000000000000000000000000000000000000000000000000000"); ntests++; if (ntests != N_TESTS) fail ("did %d tests but expected %d", ntests, N_TESTS); else if ((ntests % 256)) show_note ("%d tests done\n", ntests); } int main (int argc, char **argv) { int last_argc = -1; if (argc) { argc--; argv++; } while (argc && last_argc != argc ) { last_argc = argc; if (!strcmp (*argv, "--")) { argc--; argv++; break; } else if (!strcmp (*argv, "--help")) { fputs ("usage: " PGM " [options]\n" "Options:\n" " --verbose print timings etc.\n" " --debug flyswatter\n", stdout); exit (0); } else if (!strcmp (*argv, "--verbose")) { verbose++; argc--; argv++; } else if (!strcmp (*argv, "--debug")) { verbose += 2; debug++; argc--; argv++; } else if (!strncmp (*argv, "--", 2)) die ("unknown option '%s'", *argv); } xgcry_control ((GCRYCTL_DISABLE_SECMEM, 0)); if (!gcry_check_version (GCRYPT_VERSION)) die ("version mismatch\n"); if (debug) xgcry_control ((GCRYCTL_SET_DEBUG_FLAGS, 1u , 0)); xgcry_control ((GCRYCTL_ENABLE_QUICK_RANDOM, 0)); xgcry_control ((GCRYCTL_INITIALIZATION_FINISHED, 0)); start_timer (); check_x448 (); stop_timer (); info ("All tests completed in %s. Errors: %d\n", elapsed_time (1), error_count); return !!error_count; }