#include #include #include #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", "91E38443A5E82C0D880923425712B2BB658B9196932E02C78B2582FE742DAA28", "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, eGOSTR3410NumParamSets> g_GOSTR3410Curves; std::unique_ptr& 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]; } } }