/* * Copyright (c) 2021-2023, Texas Instruments Incorporated * All rights reserved. * * 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 Texas Instruments Incorporated 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 OWNER 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. */ /* * ======== ECCParamsLPF3SW.c ======== * * This file contains structure definitions for various ECC curves for use * on L devices. */ #include #include #include #include #include /* * Curve parameters are formatted as little-endian integers with a prepended * length word in words as required by the ECC SW library. */ /* * NIST P256 curve params in little endian format. * byte[0-3] are the param length word as required by the ECC SW library. * byte[4] is the least significant byte of the curve parameter. */ const ECC_NISTP256_Param ECC_NISTP256_generatorX = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x96, 0xc2, 0x98, 0xd8, 0x45, 0x39, 0xa1, 0xf4, 0xa0, 0x33, 0xeb, 0x2d, 0x81, 0x7d, 0x03, 0x77, 0xf2, 0x40, 0xa4, 0x63, 0xe5, 0xe6, 0xbc, 0xf8, 0x47, 0x42, 0x2c, 0xe1, 0xf2, 0xd1, 0x17, 0x6b}}; const ECC_NISTP256_Param ECC_NISTP256_generatorY = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xf5, 0x51, 0xbf, 0x37, 0x68, 0x40, 0xb6, 0xcb, 0xce, 0x5e, 0x31, 0x6b, 0x57, 0x33, 0xce, 0x2b, 0x16, 0x9e, 0x0f, 0x7c, 0x4a, 0xeb, 0xe7, 0x8e, 0x9b, 0x7f, 0x1a, 0xfe, 0xe2, 0x42, 0xe3, 0x4f}}; const ECC_NISTP256_Param ECC_NISTP256_prime = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff}}; const ECC_NISTP256_Param ECC_NISTP256_a = {.byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff}}; const ECC_NISTP256_Param ECC_NISTP256_b = {.byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x4b, 0x60, 0xd2, 0x27, 0x3e, 0x3c, 0xce, 0x3b, 0xf6, 0xb0, 0x53, 0xcc, 0xb0, 0x06, 0x1d, 0x65, 0xbc, 0x86, 0x98, 0x76, 0x55, 0xbd, 0xeb, 0xb3, 0xe7, 0x93, 0x3a, 0xaa, 0xd8, 0x35, 0xc6, 0x5a}}; const ECC_NISTP256_Param ECC_NISTP256_order = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x51, 0x25, 0x63, 0xfc, 0xc2, 0xca, 0xb9, 0xf3, 0x84, 0x9e, 0x17, 0xa7, 0xad, 0xfa, 0xe6, 0xbc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff}}; /* * Curve params in Montgomery domain are used for public key validation only * and are not prefixed with a length word. */ /* Invert of square of Montgomery constant, k = 2^(256) mod p, p is the curve prime */ const ECC_NISTP256_Param ECC_NISTP256_k_mont = { .byte = {0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xfb, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfd, 0xff, 0xff, 0xff, 0x04, 0x00, 0x00, 0x00}}; /* Converted to Montgomery domain by modular multiplication of ECC_NISTP256_a with ECC_NISTP224_k_mont */ const ECC_NISTP256_Param ECC_NISTP256_a_mont = { .byte = {0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, 0xfc, 0xff, 0xff, 0xff}}; /* Converted to Montgomery domain by modular multiplication of ECC_NISTP256_b with ECC_NISTP224_k_mont */ const ECC_NISTP256_Param ECC_NISTP256_b_mont = { .byte = {0xdf, 0xbd, 0xc4, 0x29, 0x62, 0xdf, 0x9c, 0xd8, 0x90, 0x30, 0x84, 0x78, 0xcd, 0x05, 0xf0, 0xac, 0xd6, 0x2e, 0x21, 0xf7, 0xab, 0x20, 0xa2, 0xe5, 0x34, 0x48, 0x87, 0x04, 0x1d, 0x06, 0x30, 0xdc}}; const ECCParams_CurveParams ECCParams_NISTP256 = {.curveType = ECCParams_CURVE_TYPE_SHORT_WEIERSTRASS_AN3, .length = ECCParams_NISTP256_LENGTH, .prime = ECC_NISTP256_prime.byte, .order = ECC_NISTP256_order.byte, .a = ECC_NISTP256_a.byte, .b = ECC_NISTP256_b.byte, .generatorX = ECC_NISTP256_generatorX.byte, .generatorY = ECC_NISTP256_generatorY.byte, .cofactor = 1}; /* * NIST P224 curve params in little endian format. * byte[0-3] are the param length word as required by the ECC SW library. * byte[4] is the least significant byte of the curve parameter. */ const ECC_NISTP224_Param ECC_NISTP224_generatorX = {.byte = {0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0x21, 0x1d, 0x5c, 0x11, 0xd6, 0x80, 0x32, 0x34, 0x22, 0x11, 0xc2, 0x56, 0xd3, 0xc1, 0x03, 0x4a, 0xb9, 0x90, 0x13, 0x32, 0x7f, 0xbf, 0xb4, 0x6b, 0xbd, 0x0c, 0x0e, 0xb7}}; const ECC_NISTP224_Param ECC_NISTP224_generatorY = {.byte = { 0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0x34, 0x7e, 0x00, 0x85, 0x99, 0x81, 0xd5, 0x44, 0x64, 0x47, 0x07, 0x5a, 0xa0, 0x75, 0x43, 0xcd, 0xe6, 0xdf, 0x22, 0x4c, 0xfb, 0x23, 0xf7, 0xb5, 0x88, 0x63, 0x37, 0xbd, }}; const ECC_NISTP224_Param ECC_NISTP224_prime = {.byte = {0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}; const ECC_NISTP224_Param ECC_NISTP224_a = {.byte = {0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}; const ECC_NISTP224_Param ECC_NISTP224_b = {.byte = {0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0xb4, 0xff, 0x55, 0x23, 0x43, 0x39, 0x0b, 0x27, 0xba, 0xd8, 0xbf, 0xd7, 0xb7, 0xb0, 0x44, 0x50, 0x56, 0x32, 0x41, 0xf5, 0xab, 0xb3, 0x04, 0x0c, 0x85, 0x0a, 0x05, 0xb4}}; const ECC_NISTP224_Param ECC_NISTP224_order = {.byte = {0x07, 0x00, 0x00, 0x00, /* Length word prefix */ 0x3d, 0x2a, 0x5c, 0x5c, 0x45, 0x29, 0xdd, 0x13, 0x3e, 0xf0, 0xb8, 0xe0, 0xa2, 0x16, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}}; /* * Curve params in Montgomery domain are used for public key validation only * and are not prefixed with a length word. */ /* Invert of square of Montgomery constant, k = 2^(224) mod p, p is the curve prime */ const ECC_NISTP224_Param ECC_NISTP224_k_mont = {.byte = {0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00}}; /* Converted to Montgomery domain by modular multiplication of ECC_NISTP224_a with ECC_NISTP224_k_mont */ const ECC_NISTP224_Param ECC_NISTP224_a_mont = {.byte = {0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFC, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF}}; /* Converted to Montgomery domain by modular multiplication of ECC_NISTP224_b with ECC_NISTP224_k_mont */ const ECC_NISTP224_Param ECC_NISTP224_b_mont = {.byte = {0xF7, 0xCD, 0x68, 0xE7, 0x10, 0x13, 0xF0, 0xCC, 0xC0, 0x1C, 0x3B, 0x74, 0x50, 0x81, 0x52, 0xC8, 0x98, 0xBA, 0xCE, 0x3D, 0x93, 0x2F, 0xC0, 0x7F, 0x33, 0xA6, 0x3F, 0x9C}}; const ECCParams_CurveParams ECCParams_NISTP224 = {.curveType = ECCParams_CURVE_TYPE_SHORT_WEIERSTRASS_AN3, .length = ECCParams_NISTP224_LENGTH, .prime = ECC_NISTP224_prime.byte, .order = ECC_NISTP224_order.byte, .a = ECC_NISTP224_a.byte, .b = ECC_NISTP224_b.byte, .generatorX = ECC_NISTP224_generatorX.byte, .generatorY = ECC_NISTP224_generatorY.byte, .cofactor = 1}; /* * Curve25519 curve params in little endian format. * byte[0-3] are the param length word as required by the ECC SW library. * byte[4] is the least significant byte of the curve parameter. */ const ECC_Curve25519_Param ECC_Curve25519_generatorX = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}; const ECC_Curve25519_Param ECC_Curve25519_generatorY = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xd9, 0xd3, 0xce, 0x7e, 0xa2, 0xc5, 0xe9, 0x29, 0xb2, 0x61, 0x7c, 0x6d, 0x7e, 0x4d, 0x3d, 0x92, 0x4c, 0xd1, 0x48, 0x77, 0x2c, 0xdd, 0x1e, 0xe0, 0xb4, 0x86, 0xa0, 0xb8, 0xa1, 0x19, 0xae, 0x20}}; const ECC_Curve25519_Param ECC_Curve25519_prime = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f}}; const ECC_Curve25519_Param ECC_Curve25519_a = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x06, 0x6d, 0x07, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}; const ECC_Curve25519_Param ECC_Curve25519_b = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}; const ECC_Curve25519_Param ECC_Curve25519_order = { .byte = {0x08, 0x00, 0x00, 0x00, /* Length word prefix */ 0xb9, 0xdc, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}; const ECCParams_CurveParams ECCParams_Curve25519 = {.curveType = ECCParams_CURVE_TYPE_MONTGOMERY, .length = ECCParams_CURVE25519_LENGTH, .prime = ECC_Curve25519_prime.byte, .order = ECC_Curve25519_order.byte, .a = ECC_Curve25519_a.byte, .b = ECC_Curve25519_b.byte, .generatorX = ECC_Curve25519_generatorX.byte, .generatorY = ECC_Curve25519_generatorY.byte, .cofactor = 1}; /* * ======== ECCParams_formatCurve25519PrivateKey ======== */ int_fast16_t ECCParams_formatCurve25519PrivateKey(CryptoKey *myPrivateKey) { myPrivateKey->u.plaintext.keyMaterial[31] &= 0xF8; myPrivateKey->u.plaintext.keyMaterial[0] &= 0x7F; myPrivateKey->u.plaintext.keyMaterial[0] |= 0x40; return ECCParams_STATUS_SUCCESS; } /* * ======== ECCParams_getUncompressedGeneratorPoint ======== */ int_fast16_t ECCParams_getUncompressedGeneratorPoint(const ECCParams_CurveParams *curveParams, uint8_t *buffer, size_t length) { size_t paramLength = curveParams->length; size_t pointLength = (paramLength * 2) + 1; if (length < pointLength) { return ECCParams_STATUS_ERROR; } /* Reverse and concatenate x and y */ uint32_t i = 0; for (i = 0; i < paramLength; i++) { buffer[i + 1] = curveParams->generatorX[paramLength + ECC_LENGTH_PREFIX_BYTES - i - 1]; buffer[i + 1 + paramLength] = curveParams->generatorY[paramLength + ECC_LENGTH_PREFIX_BYTES - i - 1]; } buffer[0] = 0x04; /* Fill the remaining buffer with 0 if needed */ memset(buffer + pointLength, 0, length - pointLength); return ECCParams_STATUS_SUCCESS; }