//------------------------------------------------------------------------------ // // ecdsa_model.h // -------------------------------------------- // Base point scalar multiplier model for ECDSA // // Authors: Pavel Shatov // // Copyright (c) 2015-2016, NORDUnet A/S // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are met: // // - Redistributions of source code must retain the above copyright notice, // this list of conditions and the following disclaimer. // // - Redistributions in binary form must reproduce the above copyright notice, // this list of conditions and the following disclaimer in the documentation // and/or other materials provided with the distribution. // // - Neither the name of the NORDUnet nor the names of its contributors may be // used to endorse or promote products derived from this software without // specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE // POSSIBILITY OF SUCH DAMAGE. // //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ // // Curve Selection // // USE_CURVE == 1 -> P-256 // USE_CURVE == 2 -> P-384 // //------------------------------------------------------------------------------ #ifndef USE_CURVE #define USE_CURVE 1 #endif //------------------------------------------------------------------------------ // Model Parameters //------------------------------------------------------------------------------ #if USE_CURVE == 1 #define OPERAND_WIDTH (256) // largest supported operand width in bits #elif USE_CURVE == 2 #define OPERAND_WIDTH (384) // largest supported operand width in bits #else #error USE_CURVE must be either 1 or 2! #endif //------------------------------------------------------------------------------ // P-256 Parameters and Test Vectors //------------------------------------------------------------------------------ /* Field Size */ #define P_256_Q {0xffffffff, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0xffffffff, 0xffffffff, 0xffffffff} /* Generic Numbers */ #define P_256_ZERO {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000} #define P_256_ONE {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001} /* Division Factor */ #define P_256_DELTA {0x7fffffff, 0x80000000, 0x80000000, 0x00000000, 0x00000000, 0x80000000, 0x00000000, 0x00000000} /* Base Point */ #define P_256_G_X {0x6b17d1f2, 0xe12c4247, 0xf8bce6e5, 0x63a440f2, 0x77037d81, 0x2deb33a0, 0xf4a13945, 0xd898c296} #define P_256_G_Y {0x4fe342e2, 0xfe1a7f9b, 0x8ee7eb4a, 0x7c0f9e16, 0x2bce3357, 0x6b315ece, 0xcbb64068, 0x37bf51f5} /* Doubled Base Point */ #define P_256_H_X {0x7cf27b18, 0x8d034f7e, 0x8a523803, 0x04b51ac3, 0xc08969e2, 0x77f21b35, 0xa60b48fc, 0x47669978} #define P_256_H_Y {0x07775510, 0xdb8ed040, 0x293d9ac6, 0x9f7430db, 0xba7dade6, 0x3ce98229, 0x9e04b79d, 0x227873d1} /* Base Point Order */ #define P_256_N {0xffffffff, 0x00000000, 0xffffffff, 0xffffffff, 0xbce6faad, 0xa7179e84, 0xf3b9cac2, 0xfc632551} /* Private Key */ #define P_256_D {0x70a12c2d, 0xb16845ed, 0x56ff68cf, 0xc21a472b, 0x3f04d7d6, 0x851bf634, 0x9f2d7d5b, 0x3452b38a} /* Per-message Random Number */ #define P_256_K {0x580ec00d, 0x85643433, 0x4cef3f71, 0xecaed496, 0x5b12ae37, 0xfa47055b, 0x1965c7b1, 0x34ee45d0} /* Public Key */ #define P_256_Q_X {0x8101ece4, 0x7464a6ea, 0xd70cf69a, 0x6e2bd3d8, 0x8691a326, 0x2d22cba4, 0xf7635eaf, 0xf26680a8} #define P_256_Q_Y {0xd8a12ba6, 0x1d599235, 0xf67d9cb4, 0xd58f1783, 0xd3ca43e7, 0x8f0a5aba, 0xa6240799, 0x36c0c3a9} /* Part of Signature */ #define P_256_R_X {0x7214bc96, 0x47160bbd, 0x39ff2f80, 0x533f5dc6, 0xddd70ddf, 0x86bb8156, 0x61e805d5, 0xd4e6f27c} #define P_256_R_Y {0x8b81e3e9, 0x77597110, 0xc7cf2633, 0x435b2294, 0xb7264298, 0x7defd3d4, 0x007e1cfc, 0x5df84541} //------------------------------------------------------------------------------ // P-384 Parameters and Test Vectors //------------------------------------------------------------------------------ /* Field Size */ #define P_384_Q {0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xffffffff, 0x00000000, 0x00000000, 0xffffffff} /* Generic Numbers */ #define P_384_ZERO {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000} #define P_384_ONE {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001} /* Division Factor */ #define P_384_DELTA {0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7fffffff, 0x80000000, 0x00000000, 0x80000000} /* Base Point */ #define P_384_G_X {0xaa87ca22, 0xbe8b0537, 0x8eb1c71e, 0xf320ad74, 0x6e1d3b62, 0x8ba79b98, 0x59f741e0, 0x82542a38, 0x5502f25d, 0xbf55296c, 0x3a545e38, 0x72760ab7} #define P_384_G_Y {0x3617de4a, 0x96262c6f, 0x5d9e98bf, 0x9292dc29, 0xf8f41dbd, 0x289a147c, 0xe9da3113, 0xb5f0b8c0, 0x0a60b1ce, 0x1d7e819d, 0x7a431d7c, 0x90ea0e5f} /* Doubled Base Point */ #define P_384_H_X {0x08d99905, 0x7ba3d2d9, 0x69260045, 0xc55b97f0, 0x89025959, 0xa6f434d6, 0x51d207d1, 0x9fb96e9e, 0x4fe0e86e, 0xbe0e64f8, 0x5b96a9c7, 0x5295df61} #define P_384_H_Y {0x8e80f1fa, 0x5b1b3ced, 0xb7bfe8df, 0xfd6dba74, 0xb275d875, 0xbc6cc43e, 0x904e505f, 0x256ab425, 0x5ffd43e9, 0x4d39e22d, 0x61501e70, 0x0a940e80} /* Base Point Order */ #define P_384_N {0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xc7634d81, 0xf4372ddf, 0x581a0db2, 0x48b0a77a, 0xecec196a, 0xccc52973} /* Private Key */ #define P_384_D {0xc838b852, 0x53ef8dc7, 0x394fa580, 0x8a518398, 0x1c7deef5, 0xa69ba8f4, 0xf2117ffe, 0xa39cfcd9, 0x0e95f6cb, 0xc854abac, 0xab701d50, 0xc1f3cf24} /* Per-message Random Number */ #define P_384_K {0xdc6b4403, 0x6989a196, 0xe39d1cda, 0xc000812f, 0x4bdd8b2d, 0xb41bb33a, 0xf5137258, 0x5ebd1db6, 0x3f0ce827, 0x5aa1fd45, 0xe2d2a735, 0xf8749359} /* Public Key */ #define P_384_Q_X {0x1fbac8ee, 0xbd0cbf35, 0x640b39ef, 0xe0808dd7, 0x74debff2, 0x0a2a329e, 0x91713baf, 0x7d7f3c3e, 0x81546d88, 0x3730bee7, 0xe48678f8, 0x57b02ca0} #define P_384_Q_Y {0xeb213103, 0xbd68ce34, 0x3365a8a4, 0xc3d4555f, 0xa385f533, 0x0203bdd7, 0x6ffad1f3, 0xaffb9575, 0x1c132007, 0xe1b24035, 0x3cb0a4cf, 0x1693bdf9} /* Part of Signature */ #define P_384_R_X {0xa0c27ec8, 0x93092dea, 0x1e1bd2cc, 0xfed3cf94, 0x5c8134ed, 0x0c9f8131, 0x1a0f4a05, 0x942db8db, 0xed8dd59f, 0x267471d5, 0x462aa14f, 0xe72de856} #define P_384_R_Y {0x85564940, 0x9815bb91, 0x424eaca5, 0xfd76c973, 0x75d575d1, 0x422ec53d, 0x343bd33b, 0x847fdf0c, 0x11569685, 0xb528ab25, 0x49301542, 0x8d7cf72b} //------------------------------------------------------------------------------ // Parameter and Test Vector Selection //------------------------------------------------------------------------------ #if USE_CURVE == 1 #define ECDSA_Q P_256_Q #define ECDSA_ZERO P_256_ZERO #define ECDSA_ONE P_256_ONE #define ECDSA_DELTA P_256_DELTA #define ECDSA_G_X P_256_G_X #define ECDSA_G_Y P_256_G_Y #define ECDSA_H_X P_256_H_X #define ECDSA_H_Y P_256_H_Y #define ECDSA_N P_256_N #define ECDSA_D P_256_D #define ECDSA_K P_256_K #define ECDSA_Q_X P_256_Q_X #define ECDSA_Q_Y P_256_Q_Y #define ECDSA_R_X P_256_R_X #define ECDSA_R_Y P_256_R_Y #elif USE_CURVE == 2 #define ECDSA_Q P_384_Q #define ECDSA_ZERO P_384_ZERO #define ECDSA_ONE P_384_ONE #define ECDSA_DELTA P_384_DELTA #define ECDSA_G_X P_384_G_X #define ECDSA_G_Y P_384_G_Y #define ECDSA_H_X P_384_H_X #define ECDSA_H_Y P_384_H_Y #define ECDSA_N P_384_N #define ECDSA_D P_384_D #define ECDSA_K P_384_K #define ECDSA_Q_X P_384_Q_X #define ECDSA_Q_Y P_384_Q_Y #define ECDSA_R_X P_384_R_X #define ECDSA_R_Y P_384_R_Y #else #error USE_CURVE must be either 1 or 2! #endif //------------------------------------------------------------------------------ // End-of-File //------------------------------------------------------------------------------