I2P: End-to-End encrypted and anonymous Internet https://i2pd.website/
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14 KiB

#include <string.h>
#include <array>
#include <openssl/sha.h>
#include <openssl/evp.h>
#include "Gost.h"
namespace i2p
{
namespace crypto
{
// GOST R 34.10
GOSTR3410Curve::GOSTR3410Curve (BIGNUM * a, BIGNUM * b, BIGNUM * p, BIGNUM * q, BIGNUM * x, BIGNUM * y)
{
m_KeyLen = BN_num_bytes (p);
BN_CTX * ctx = BN_CTX_new ();
m_Group = EC_GROUP_new_curve_GFp (p, a, b, ctx);
EC_POINT * P = EC_POINT_new (m_Group);
EC_POINT_set_affine_coordinates_GFp (m_Group, P, x, y, ctx);
EC_GROUP_set_generator (m_Group, P, q, nullptr);
EC_GROUP_set_curve_name (m_Group, NID_id_GostR3410_2001);
EC_POINT_free(P);
BN_CTX_free (ctx);
}
GOSTR3410Curve::~GOSTR3410Curve ()
{
EC_GROUP_free (m_Group);
}
EC_POINT * GOSTR3410Curve::MulP (const BIGNUM * n) const
{
BN_CTX * ctx = BN_CTX_new ();
auto p = EC_POINT_new (m_Group);
EC_POINT_mul (m_Group, p, n, nullptr, nullptr, ctx);
BN_CTX_free (ctx);
return p;
}
bool GOSTR3410Curve::GetXY (const EC_POINT * p, BIGNUM * x, BIGNUM * y) const
{
return EC_POINT_get_affine_coordinates_GFp (m_Group, p, x, y, nullptr);
}
EC_POINT * GOSTR3410Curve::CreatePoint (const BIGNUM * x, const BIGNUM * y) const
{
EC_POINT * p = EC_POINT_new (m_Group);
EC_POINT_set_affine_coordinates_GFp (m_Group, p, x, y, nullptr);
return p;
}
void GOSTR3410Curve::Sign (const BIGNUM * priv, const BIGNUM * digest, BIGNUM * r, BIGNUM * s)
{
BN_CTX * ctx = BN_CTX_new ();
BN_CTX_start (ctx);
BIGNUM * q = BN_CTX_get (ctx);
EC_GROUP_get_order(m_Group, q, ctx);
BIGNUM * k = BN_CTX_get (ctx);
BN_rand_range (k, q); // 0 < k < q
EC_POINT * C = MulP (k); // C = k*P
GetXY (C, r, nullptr); // r = Cx
EC_POINT_free (C);
BN_mod_mul (s, r, priv, q, ctx); // (r*priv)%q
BIGNUM * tmp = BN_CTX_get (ctx);
BN_mod_mul (tmp, k, digest, q, ctx); // (k*digest)%q
BN_mod_add (s, s, tmp, q, ctx); // (r*priv+k*digest)%q
BN_CTX_end (ctx);
BN_CTX_free (ctx);
}
bool GOSTR3410Curve::Verify (const EC_POINT * pub, const BIGNUM * digest, const BIGNUM * r, const BIGNUM * s)
{
BN_CTX * ctx = BN_CTX_new ();
BN_CTX_start (ctx);
BIGNUM * q = BN_CTX_get (ctx);
EC_GROUP_get_order(m_Group, q, ctx);
BIGNUM * h = BN_CTX_get (ctx);
BN_mod (h, digest, q, ctx); // h = digest % q
BN_mod_inverse (h, h, q, ctx); // 1/h mod q
BIGNUM * z1 = BN_CTX_get (ctx);
BN_mod_mul (z1, s, h, q, ctx); // z1 = s/h
BIGNUM * z2 = BN_CTX_get (ctx);
BN_sub (z2, q, r); // z2 = -r
BN_mod_mul (z2, z2, h, q, ctx); // z2 = -r/h
EC_POINT * C = EC_POINT_new (m_Group);
EC_POINT_mul (m_Group, C, z1, pub, z2, ctx); // z1*P + z2*pub
BIGNUM * x = BN_CTX_get (ctx);
GetXY (C, x, nullptr); // Cx
BN_mod (x, x, q, ctx); // Cx % q
bool ret = !BN_cmp (x, r); // Cx = r ?
EC_POINT_free (C);
BN_CTX_end (ctx);
BN_CTX_free (ctx);
return ret;
}
static GOSTR3410Curve * CreateGOSTR3410Curve (GOSTR3410ParamSet paramSet)
{
// a, b, p, q, x, y
static const char * params[eGOSTR3410NumParamSets][6] =
{
{
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD94",
"A6",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6C611070995AD10045841B09B761B893",
"1",
"8D91E471E0989CDA27DF505A453F2B7635294F2DDF23E3B122ACC99C9E9F1E14"
}, // A
{
"C2173F1513981673AF4892C23035A27CE25E2013BF95AA33B22C656F277E7335",
"295F9BAE7428ED9CCC20E7C359A9D41A22FCCD9108E17BF7BA9337A6F8AE9513",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97",
"400000000000000000000000000000000FD8CDDFC87B6635C115AF556C360C67",
"0D",
"32879423AB1A0375895786C4BB46E9565FDE0B5344766740AF268ADB32322E5C"
}, // tc26-2012-paramSetA-256
{
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC4",
"E8C2505DEDFC86DDC1BD0B2B6667F1DA34B82574761CB0E879BD081CFD0B6265EE3CB090F30D27614CB4574010DA90DD862EF9D4EBEE4761503190785A71C760",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC7",
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF27E69532F48D89116FF22B8D4E0560609B4B38ABFAD2B85DCACDB1411F10B275",
"3",
"7503CFE87A836AE3A61B8816E25450E6CE5E1C93ACF1ABC1778064FDCBEFA921DF1626BE4FD036E93D75E6A50E3A41E98028FE5FC235F5B889A589CB5215F2A4"
} // tc26-2012-paramSetA-512
};
BIGNUM * a = nullptr, * b = nullptr, * p = nullptr, * q =nullptr, * x = nullptr, * y = nullptr;
BN_hex2bn(&a, params[paramSet][0]);
BN_hex2bn(&b, params[paramSet][1]);
BN_hex2bn(&p, params[paramSet][2]);
BN_hex2bn(&q, params[paramSet][3]);
BN_hex2bn(&x, params[paramSet][4]);
BN_hex2bn(&y, params[paramSet][5]);
auto curve = new GOSTR3410Curve (a, b, p, q, x, y);
BN_free (a); BN_free (b); BN_free (p); BN_free (q); BN_free (x); BN_free (y);
return curve;
}
static std::array<std::unique_ptr<GOSTR3410Curve>, eGOSTR3410NumParamSets> g_GOSTR3410Curves;
std::unique_ptr<GOSTR3410Curve>& GetGOSTR3410Curve (GOSTR3410ParamSet paramSet)
{
if (!g_GOSTR3410Curves[paramSet])
{
auto c = CreateGOSTR3410Curve (paramSet);
if (!g_GOSTR3410Curves[paramSet]) // make sure it was not created already
g_GOSTR3410Curves[paramSet].reset (c);
else
delete c;
}
return g_GOSTR3410Curves[paramSet];
}
// ГОСТ 34.11-2012
static const uint8_t sbox_[256] =
{
0xFC, 0xEE, 0xDD, 0x11, 0xCF, 0x6E, 0x31, 0x16, 0xFB, 0xC4, 0xFA, 0xDA, 0x23, 0xC5, 0x04, 0x4D,
0xE9, 0x77, 0xF0, 0xDB, 0x93, 0x2E, 0x99, 0xBA, 0x17, 0x36, 0xF1, 0xBB, 0x14, 0xCD, 0x5F, 0xC1,
0xF9, 0x18, 0x65, 0x5A, 0xE2, 0x5C, 0xEF, 0x21, 0x81, 0x1C, 0x3C, 0x42, 0x8B, 0x01, 0x8E, 0x4F,
0x05, 0x84, 0x02, 0xAE, 0xE3, 0x6A, 0x8F, 0xA0, 0x06, 0x0B, 0xED, 0x98, 0x7F, 0xD4, 0xD3, 0x1F,
0xEB, 0x34, 0x2C, 0x51, 0xEA, 0xC8, 0x48, 0xAB, 0xF2, 0x2A, 0x68, 0xA2, 0xFD, 0x3A, 0xCE, 0xCC,
0xB5, 0x70, 0x0E, 0x56, 0x08, 0x0C, 0x76, 0x12, 0xBF, 0x72, 0x13, 0x47, 0x9C, 0xB7, 0x5D, 0x87,
0x15, 0xA1, 0x96, 0x29, 0x10, 0x7B, 0x9A, 0xC7, 0xF3, 0x91, 0x78, 0x6F, 0x9D, 0x9E, 0xB2, 0xB1,
0x32, 0x75, 0x19, 0x3D, 0xFF, 0x35, 0x8A, 0x7E, 0x6D, 0x54, 0xC6, 0x80, 0xC3, 0xBD, 0x0D, 0x57,
0xDF, 0xF5, 0x24, 0xA9, 0x3E, 0xA8, 0x43, 0xC9, 0xD7, 0x79, 0xD6, 0xF6, 0x7C, 0x22, 0xB9, 0x03,
0xE0, 0x0F, 0xEC, 0xDE, 0x7A, 0x94, 0xB0, 0xBC, 0xDC, 0xE8, 0x28, 0x50, 0x4E, 0x33, 0x0A, 0x4A,
0xA7, 0x97, 0x60, 0x73, 0x1E, 0x00, 0x62, 0x44, 0x1A, 0xB8, 0x38, 0x82, 0x64, 0x9F, 0x26, 0x41,
0xAD, 0x45, 0x46, 0x92, 0x27, 0x5E, 0x55, 0x2F, 0x8C, 0xA3, 0xA5, 0x7D, 0x69, 0xD5, 0x95, 0x3B,
0x07, 0x58, 0xB3, 0x40, 0x86, 0xAC, 0x1D, 0xF7, 0x30, 0x37, 0x6B, 0xE4, 0x88, 0xD9, 0xE7, 0x89,
0xE1, 0x1B, 0x83, 0x49, 0x4C, 0x3F, 0xF8, 0xFE, 0x8D, 0x53, 0xAA, 0x90, 0xCA, 0xD8, 0x85, 0x61,
0x20, 0x71, 0x67, 0xA4, 0x2D, 0x2B, 0x09, 0x5B, 0xCB, 0x9B, 0x25, 0xD0, 0xBE, 0xE5, 0x6C, 0x52,
0x59, 0xA6, 0x74, 0xD2, 0xE6, 0xF4, 0xB4, 0xC0, 0xD1, 0x66, 0xAF, 0xC2, 0x39, 0x4B, 0x63, 0xB6
};
static const uint64_t A_[64] =
{
0x8e20faa72ba0b470, 0x47107ddd9b505a38, 0xad08b0e0c3282d1c, 0xd8045870ef14980e,
0x6c022c38f90a4c07, 0x3601161cf205268d, 0x1b8e0b0e798c13c8, 0x83478b07b2468764,
0xa011d380818e8f40, 0x5086e740ce47c920, 0x2843fd2067adea10, 0x14aff010bdd87508,
0x0ad97808d06cb404, 0x05e23c0468365a02, 0x8c711e02341b2d01, 0x46b60f011a83988e,
0x90dab52a387ae76f, 0x486dd4151c3dfdb9, 0x24b86a840e90f0d2, 0x125c354207487869,
0x092e94218d243cba, 0x8a174a9ec8121e5d, 0x4585254f64090fa0, 0xaccc9ca9328a8950,
0x9d4df05d5f661451, 0xc0a878a0a1330aa6, 0x60543c50de970553, 0x302a1e286fc58ca7,
0x18150f14b9ec46dd, 0x0c84890ad27623e0, 0x0642ca05693b9f70, 0x0321658cba93c138,
0x86275df09ce8aaa8, 0x439da0784e745554, 0xafc0503c273aa42a, 0xd960281e9d1d5215,
0xe230140fc0802984, 0x71180a8960409a42, 0xb60c05ca30204d21, 0x5b068c651810a89e,
0x456c34887a3805b9, 0xac361a443d1c8cd2, 0x561b0d22900e4669, 0x2b838811480723ba,
0x9bcf4486248d9f5d, 0xc3e9224312c8c1a0, 0xeffa11af0964ee50, 0xf97d86d98a327728,
0xe4fa2054a80b329c, 0x727d102a548b194e, 0x39b008152acb8227, 0x9258048415eb419d,
0x492c024284fbaec0, 0xaa16012142f35760, 0x550b8e9e21f7a530, 0xa48b474f9ef5dc18,
0x70a6a56e2440598e, 0x3853dc371220a247, 0x1ca76e95091051ad, 0x0edd37c48a08a6d8,
0x07e095624504536c, 0x8d70c431ac02a736, 0xc83862965601dd1b, 0x641c314b2b8ee083
};
static const uint8_t C_[12][64] =
{
{
0xb1,0x08,0x5b,0xda,0x1e,0xca,0xda,0xe9,0xeb,0xcb,0x2f,0x81,0xc0,0x65,0x7c,0x1f,
0x2f,0x6a,0x76,0x43,0x2e,0x45,0xd0,0x16,0x71,0x4e,0xb8,0x8d,0x75,0x85,0xc4,0xfc,
0x4b,0x7c,0xe0,0x91,0x92,0x67,0x69,0x01,0xa2,0x42,0x2a,0x08,0xa4,0x60,0xd3,0x15,
0x05,0x76,0x74,0x36,0xcc,0x74,0x4d,0x23,0xdd,0x80,0x65,0x59,0xf2,0xa6,0x45,0x07
},
{
0x6f,0xa3,0xb5,0x8a,0xa9,0x9d,0x2f,0x1a,0x4f,0xe3,0x9d,0x46,0x0f,0x70,0xb5,0xd7,
0xf3,0xfe,0xea,0x72,0x0a,0x23,0x2b,0x98,0x61,0xd5,0x5e,0x0f,0x16,0xb5,0x01,0x31,
0x9a,0xb5,0x17,0x6b,0x12,0xd6,0x99,0x58,0x5c,0xb5,0x61,0xc2,0xdb,0x0a,0xa7,0xca,
0x55,0xdd,0xa2,0x1b,0xd7,0xcb,0xcd,0x56,0xe6,0x79,0x04,0x70,0x21,0xb1,0x9b,0xb7
},
{
0xf5,0x74,0xdc,0xac,0x2b,0xce,0x2f,0xc7,0x0a,0x39,0xfc,0x28,0x6a,0x3d,0x84,0x35,
0x06,0xf1,0x5e,0x5f,0x52,0x9c,0x1f,0x8b,0xf2,0xea,0x75,0x14,0xb1,0x29,0x7b,0x7b,
0xd3,0xe2,0x0f,0xe4,0x90,0x35,0x9e,0xb1,0xc1,0xc9,0x3a,0x37,0x60,0x62,0xdb,0x09,
0xc2,0xb6,0xf4,0x43,0x86,0x7a,0xdb,0x31,0x99,0x1e,0x96,0xf5,0x0a,0xba,0x0a,0xb2
},
{
0xef,0x1f,0xdf,0xb3,0xe8,0x15,0x66,0xd2,0xf9,0x48,0xe1,0xa0,0x5d,0x71,0xe4,0xdd,
0x48,0x8e,0x85,0x7e,0x33,0x5c,0x3c,0x7d,0x9d,0x72,0x1c,0xad,0x68,0x5e,0x35,0x3f,
0xa9,0xd7,0x2c,0x82,0xed,0x03,0xd6,0x75,0xd8,0xb7,0x13,0x33,0x93,0x52,0x03,0xbe,
0x34,0x53,0xea,0xa1,0x93,0xe8,0x37,0xf1,0x22,0x0c,0xbe,0xbc,0x84,0xe3,0xd1,0x2e
},
{
0x4b,0xea,0x6b,0xac,0xad,0x47,0x47,0x99,0x9a,0x3f,0x41,0x0c,0x6c,0xa9,0x23,0x63,
0x7f,0x15,0x1c,0x1f,0x16,0x86,0x10,0x4a,0x35,0x9e,0x35,0xd7,0x80,0x0f,0xff,0xbd,
0xbf,0xcd,0x17,0x47,0x25,0x3a,0xf5,0xa3,0xdf,0xff,0x00,0xb7,0x23,0x27,0x1a,0x16,
0x7a,0x56,0xa2,0x7e,0xa9,0xea,0x63,0xf5,0x60,0x17,0x58,0xfd,0x7c,0x6c,0xfe,0x57
},
{
0xae,0x4f,0xae,0xae,0x1d,0x3a,0xd3,0xd9,0x6f,0xa4,0xc3,0x3b,0x7a,0x30,0x39,0xc0,
0x2d,0x66,0xc4,0xf9,0x51,0x42,0xa4,0x6c,0x18,0x7f,0x9a,0xb4,0x9a,0xf0,0x8e,0xc6,
0xcf,0xfa,0xa6,0xb7,0x1c,0x9a,0xb7,0xb4,0x0a,0xf2,0x1f,0x66,0xc2,0xbe,0xc6,0xb6,
0xbf,0x71,0xc5,0x72,0x36,0x90,0x4f,0x35,0xfa,0x68,0x40,0x7a,0x46,0x64,0x7d,0x6e
},
{
0xf4,0xc7,0x0e,0x16,0xee,0xaa,0xc5,0xec,0x51,0xac,0x86,0xfe,0xbf,0x24,0x09,0x54,
0x39,0x9e,0xc6,0xc7,0xe6,0xbf,0x87,0xc9,0xd3,0x47,0x3e,0x33,0x19,0x7a,0x93,0xc9,
0x09,0x92,0xab,0xc5,0x2d,0x82,0x2c,0x37,0x06,0x47,0x69,0x83,0x28,0x4a,0x05,0x04,
0x35,0x17,0x45,0x4c,0xa2,0x3c,0x4a,0xf3,0x88,0x86,0x56,0x4d,0x3a,0x14,0xd4,0x93
},
{
0x9b,0x1f,0x5b,0x42,0x4d,0x93,0xc9,0xa7,0x03,0xe7,0xaa,0x02,0x0c,0x6e,0x41,0x41,
0x4e,0xb7,0xf8,0x71,0x9c,0x36,0xde,0x1e,0x89,0xb4,0x44,0x3b,0x4d,0xdb,0xc4,0x9a,
0xf4,0x89,0x2b,0xcb,0x92,0x9b,0x06,0x90,0x69,0xd1,0x8d,0x2b,0xd1,0xa5,0xc4,0x2f,
0x36,0xac,0xc2,0x35,0x59,0x51,0xa8,0xd9,0xa4,0x7f,0x0d,0xd4,0xbf,0x02,0xe7,0x1e
},
{
0x37,0x8f,0x5a,0x54,0x16,0x31,0x22,0x9b,0x94,0x4c,0x9a,0xd8,0xec,0x16,0x5f,0xde,
0x3a,0x7d,0x3a,0x1b,0x25,0x89,0x42,0x24,0x3c,0xd9,0x55,0xb7,0xe0,0x0d,0x09,0x84,
0x80,0x0a,0x44,0x0b,0xdb,0xb2,0xce,0xb1,0x7b,0x2b,0x8a,0x9a,0xa6,0x07,0x9c,0x54,
0x0e,0x38,0xdc,0x92,0xcb,0x1f,0x2a,0x60,0x72,0x61,0x44,0x51,0x83,0x23,0x5a,0xdb
},
{
0xab,0xbe,0xde,0xa6,0x80,0x05,0x6f,0x52,0x38,0x2a,0xe5,0x48,0xb2,0xe4,0xf3,0xf3,
0x89,0x41,0xe7,0x1c,0xff,0x8a,0x78,0xdb,0x1f,0xff,0xe1,0x8a,0x1b,0x33,0x61,0x03,
0x9f,0xe7,0x67,0x02,0xaf,0x69,0x33,0x4b,0x7a,0x1e,0x6c,0x30,0x3b,0x76,0x52,0xf4,
0x36,0x98,0xfa,0xd1,0x15,0x3b,0xb6,0xc3,0x74,0xb4,0xc7,0xfb,0x98,0x45,0x9c,0xed
},
{
0x7b,0xcd,0x9e,0xd0,0xef,0xc8,0x89,0xfb,0x30,0x02,0xc6,0xcd,0x63,0x5a,0xfe,0x94,
0xd8,0xfa,0x6b,0xbb,0xeb,0xab,0x07,0x61,0x20,0x01,0x80,0x21,0x14,0x84,0x66,0x79,
0x8a,0x1d,0x71,0xef,0xea,0x48,0xb9,0xca,0xef,0xba,0xcd,0x1d,0x7d,0x47,0x6e,0x98,
0xde,0xa2,0x59,0x4a,0xc0,0x6f,0xd8,0x5d,0x6b,0xca,0xa4,0xcd,0x81,0xf3,0x2d,0x1b
},
{
0x37,0x8e,0xe7,0x67,0xf1,0x16,0x31,0xba,0xd2,0x13,0x80,0xb0,0x04,0x49,0xb1,0x7a,
0xcd,0xa4,0x3c,0x32,0xbc,0xdf,0x1d,0x77,0xf8,0x20,0x12,0xd4,0x30,0x21,0x9f,0x9b,
0x5d,0x80,0xef,0x9d,0x18,0x91,0xcc,0x86,0xe7,0x1d,0xa4,0xaa,0x88,0xe1,0x28,0x52,
0xfa,0xf4,0x17,0xd5,0xd9,0xb2,0x1b,0x99,0x48,0xbc,0x92,0x4a,0xf1,0x1b,0xd7,0x20
}
};
union GOST3411Block // 8 bytes aligned
{
uint8_t buf[64];
uint64_t ll[8];
GOST3411Block operator^(const GOST3411Block& other)
{
GOST3411Block ret;
for (int i = 0; i < 8; i++)
ret.ll[i] = ll[i]^other.ll[i];
return ret;
}
GOST3411Block operator^(const uint8_t * other)
{
GOST3411Block ret;
for (int i = 0; i < 64; i++)
ret.buf[i] = buf[i]^other[i];
return ret;
}
GOST3411Block operator+(const GOST3411Block& other)
{
GOST3411Block ret;
uint8_t carry = 0;
for (int i = 63; i >= 0; i--)
{
uint16_t sum = buf[i] + other.buf[i] + carry;
ret.buf[i] = sum & 0xFF;
carry = sum >> 8;
}
return ret;
}
void S ()
{
for (int i = 0; i < 64; i++)
buf[i] = sbox_[buf[i]];
}
void LP ()
{
uint8_t tmp[64];
memcpy (tmp, buf, 64);
for (int i = 0; i < 8; i++)
{
uint64_t c = 0;
for (int j = 0; j < 8; j++)
{
uint8_t bit = 0x80;
for (int k = 0; k < 8; k++)
{
if (tmp[j*8+i] & bit) c ^= A_[j*8+k];
bit >>= 1;
}
}
for (int j = 0; j < 8; j++)
buf[i*8+j] = c >> ((7 - j) << 3);
}
}
GOST3411Block E (const GOST3411Block& m)
{
GOST3411Block k = *this;
GOST3411Block res = k^m;
for (int i = 0; i < 12; i++)
{
res.S ();
res.LP ();
k = k^C_[i];
k.S ();
k.LP ();
res = k^res;
}
return res;
}
};
}
}