//------------------------------------------------------------------------------ // // ecdsa_fpga_curve.h // ---------------------------------------------- // Elliptic curve arithmetic procedures for ECDSA // // Authors: Pavel Shatov // // Copyright 2015-2016, 2018 NORDUnet A/S // Copyright 2021 The Commons Conservancy Cryptech Project // SPDX-License-Identifier: BSD-3-Clause // // 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 copyright holder 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. // //------------------------------------------------------------------------------ //------------------------------------------------------------------------------ // ECDSA Parameters (P-256) //------------------------------------------------------------------------------ /* Base Point */ #define ECDSA_P256_GX_INIT \ {0x6b17d1f2, 0xe12c4247, 0xf8bce6e5, 0x63a440f2, \ 0x77037d81, 0x2deb33a0, 0xf4a13945, 0xd898c296} #define ECDSA_P256_GY_INIT \ {0x4fe342e2, 0xfe1a7f9b, 0x8ee7eb4a, 0x7c0f9e16, \ 0x2bce3357, 0x6b315ece, 0xcbb64068, 0x37bf51f5} /* Doubled Base Point */ #define ECDSA_P256_HX_INIT \ {0x7cf27b18, 0x8d034f7e, 0x8a523803, 0x04b51ac3, \ 0xc08969e2, 0x77f21b35, 0xa60b48fc, 0x47669978} #define ECDSA_P256_HY_INIT \ {0x07775510, 0xdb8ed040, 0x293d9ac6, 0x9f7430db, \ 0xba7dade6, 0x3ce98229, 0x9e04b79d, 0x227873d1} /* Order of the Base Point */ #define ECDSA_P256_N_INIT \ {0xffffffff, 0x00000000, 0xffffffff, 0xffffffff, \ 0xbce6faad, 0xa7179e84, 0xf3b9cac2, 0xfc632551} //------------------------------------------------------------------------------ // ECDSA Parameters (P-384) //------------------------------------------------------------------------------ /* Base Point */ #define ECDSA_P384_GX_INIT \ {0xaa87ca22, 0xbe8b0537, 0x8eb1c71e, 0xf320ad74, \ 0x6e1d3b62, 0x8ba79b98, 0x59f741e0, 0x82542a38, \ 0x5502f25d, 0xbf55296c, 0x3a545e38, 0x72760ab7} #define ECDSA_P384_GY_INIT \ {0x3617de4a, 0x96262c6f, 0x5d9e98bf, 0x9292dc29, \ 0xf8f41dbd, 0x289a147c, 0xe9da3113, 0xb5f0b8c0, \ 0x0a60b1ce, 0x1d7e819d, 0x7a431d7c, 0x90ea0e5f} /* Doubled Base Point */ #define ECDSA_P384_HX_INIT \ {0x08d99905, 0x7ba3d2d9, 0x69260045, 0xc55b97f0, \ 0x89025959, 0xa6f434d6, 0x51d207d1, 0x9fb96e9e, \ 0x4fe0e86e, 0xbe0e64f8, 0x5b96a9c7, 0x5295df61} #define ECDSA_P384_HY_INIT \ {0x8e80f1fa, 0x5b1b3ced, 0xb7bfe8df, 0xfd6dba74, \ 0xb275d875, 0xbc6cc43e, 0x904e505f, 0x256ab425, \ 0x5ffd43e9, 0x4d39e22d, 0x61501e70, 0x0a940e80} /* Order of the Base Point */ #define ECDSA_P384_N_INIT \ {0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, \ 0xffffffff, 0xffffffff, 0xc7634d81, 0xf4372ddf, \ 0x581a0db2, 0x48b0a77a, 0xecec196a, 0xccc52973} //------------------------------------------------------------------------------ // ECDSA Parameters Switch //------------------------------------------------------------------------------ #if USE_CURVE == 1 #define ECDSA_GX_INIT ECDSA_P256_GX_INIT #define ECDSA_GY_INIT ECDSA_P256_GY_INIT #define ECDSA_HX_INIT ECDSA_P256_HX_INIT #define ECDSA_HY_INIT ECDSA_P256_HY_INIT #define ECDSA_N_INIT ECDSA_P256_N_INIT #elif USE_CURVE == 2 #define ECDSA_GX_INIT ECDSA_P384_GX_INIT #define ECDSA_GY_INIT ECDSA_P384_GY_INIT #define ECDSA_HX_INIT ECDSA_P384_HX_INIT #define ECDSA_HY_INIT ECDSA_P384_HY_INIT #define ECDSA_N_INIT ECDSA_P384_N_INIT #else BAD_CURVE #endif //------------------------------------------------------------------------------ // Globals //------------------------------------------------------------------------------ extern FPGA_BUFFER ECDSA_GX, ECDSA_GY; extern FPGA_BUFFER ECDSA_HX, ECDSA_HY; extern FPGA_BUFFER ECDSA_N; //------------------------------------------------------------------------------ // Switch //------------------------------------------------------------------------------ #ifdef USE_MICROCODE #define fpga_curve_base_scalar_multiply fpga_curve_base_scalar_multiply_microcode #define fpga_curve_add_jacobian_2_shim fpga_curve_add_jacobian_microcode_2_wrapper #define fpga_curve_double_jacobian_shim fpga_curve_double_jacobian_microcode_wrapper void fpga_curve_double_jacobian_microcode_wrapper (const FPGA_BUFFER *px, const FPGA_BUFFER *py, const FPGA_BUFFER *pz, FPGA_BUFFER *rx, FPGA_BUFFER *ry, FPGA_BUFFER *rz); void fpga_curve_add_jacobian_microcode_2_wrapper(const FPGA_BUFFER *px, const FPGA_BUFFER *py, const FPGA_BUFFER *pz, const FPGA_BUFFER *qx, const FPGA_BUFFER *qy, const FPGA_BUFFER *qz, FPGA_BUFFER *rx, FPGA_BUFFER *ry, FPGA_BUFFER *rz); #else #define fpga_curve_base_scalar_multiply fpga_curve_base_scalar_multiply_abstract #define fpga_curve_add_jacobian_2_shim fpga_curve_add_jacobian_abstract_2 #define fpga_curve_double_jacobian_shim fpga_curve_double_jacobian_abstract #endif //------------------------------------------------------------------------------ // Prototypes //------------------------------------------------------------------------------ void fpga_curve_init (); void fpga_curve_base_scalar_multiply_abstract (const FPGA_BUFFER *k, FPGA_BUFFER *qx, FPGA_BUFFER *qy); void fpga_curve_base_scalar_multiply_microcode (const FPGA_BUFFER *k, FPGA_BUFFER *qx, FPGA_BUFFER *qy); void fpga_curve_add_jacobian_abstract_2 (const FPGA_BUFFER *px, const FPGA_BUFFER *py, const FPGA_BUFFER *pz, const FPGA_BUFFER *qx, const FPGA_BUFFER *qy, const FPGA_BUFFER *qz, FPGA_BUFFER *rx, FPGA_BUFFER *ry, FPGA_BUFFER *rz); void fpga_curve_double_jacobian_abstract (const FPGA_BUFFER *px, const FPGA_BUFFER *py, const FPGA_BUFFER *pz, FPGA_BUFFER *rx, FPGA_BUFFER *ry, FPGA_BUFFER *rz); void fpga_curve_add_jacobian_microcode_2 (); void fpga_curve_double_jacobian_microcode_r0 (); void fpga_curve_double_jacobian_microcode_r1 (); //------------------------------------------------------------------------------ // End-of-File //------------------------------------------------------------------------------