#pragma once /** @file @brief Elliptic curve parameter @author MITSUNARI Shigeo(@herumi) @license modified new BSD license http://opensource.org/licenses/BSD-3-Clause */ #include namespace mcl { namespace ecparam { const struct mcl::EcParam secp160k1 = { "secp160k1", "0xfffffffffffffffffffffffffffffffeffffac73", "0", "7", "0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb", "0x938cf935318fdced6bc28286531733c3f03c4fee", "0x100000000000000000001b8fa16dfab9aca16b6b3", 160 }; // p=2^160 + 7 const struct mcl::EcParam p160_1 = { "p160_1", "0x10000000000000000000000000000000000000007", "10", "1343632762150092499701637438970764818528075565078", "1", "1236612389951462151661156731535316138439983579284", "1461501637330902918203683518218126812711137002561", 161 }; const struct mcl::EcParam secp192k1 = { "secp192k1", "0xfffffffffffffffffffffffffffffffffffffffeffffee37", "0", "3", "0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d", "0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d", "0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d", 192 }; const struct mcl::EcParam secp224k1 = { "secp224k1", "0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d", "0", "5", "0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c", "0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5", "0x10000000000000000000000000001dce8d2ec6184caf0a971769fb1f7", 224 }; const struct mcl::EcParam secp256k1 = { "secp256k1", "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "0", "7", "0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", "0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", "0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141", 256 }; const struct mcl::EcParam secp384r1 = { "secp384r1", "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff", "-3", "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef", "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f", "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973", 384 }; const struct mcl::EcParam secp521r1 = { "secp521r1", "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "-3", "0x51953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", "0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", "0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", 521 }; const struct mcl::EcParam NIST_P192 = { "NIST_P192", "0xfffffffffffffffffffffffffffffffeffffffffffffffff", "-3", "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811", "0xffffffffffffffffffffffff99def836146bc9b1b4d22831", 192 }; const struct mcl::EcParam NIST_P224 = { "NIST_P224", "0xffffffffffffffffffffffffffffffff000000000000000000000001", "-3", "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4", "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", "0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d", 224 }; const struct mcl::EcParam NIST_P256 = { "NIST_P256", "0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff", "-3", "0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", "0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", "0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", 256 }; // same secp384r1 const struct mcl::EcParam NIST_P384 = { "NIST_P384", "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff", "-3", "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef", "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f", "0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973", 384 }; // same secp521r1 const struct mcl::EcParam NIST_P521 = { "NIST_P521", "0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "-3", "0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", "0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", "0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", "0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", 521 }; } // mcl::ecparam static inline const mcl::EcParam* getEcParam(const std::string& name) { static const mcl::EcParam *tbl[] = { &ecparam::p160_1, &ecparam::secp160k1, &ecparam::secp192k1, &ecparam::secp224k1, &ecparam::secp256k1, &ecparam::secp384r1, &ecparam::secp521r1, &ecparam::NIST_P192, &ecparam::NIST_P224, &ecparam::NIST_P256, &ecparam::NIST_P384, &ecparam::NIST_P521, }; for (size_t i = 0; i < CYBOZU_NUM_OF_ARRAY(tbl); i++) { if (name == tbl[i]->name) return tbl[i]; } throw cybozu::Exception("mcl::getEcParam:not support name") << name; } } // mcl