/********************************************************************************/ /* */ /* ECC curve data */ /* Written by Ken Goldman */ /* IBM Thomas J. Watson Research Center */ /* $Id: CryptEccData.c 1658 2021-01-22 23:14:01Z kgoldman $ */ /* */ /* Licenses and Notices */ /* */ /* 1. Copyright Licenses: */ /* */ /* - Trusted Computing Group (TCG) grants to the user of the source code in */ /* this specification (the "Source Code") a worldwide, irrevocable, */ /* nonexclusive, royalty free, copyright license to reproduce, create */ /* derivative works, distribute, display and perform the Source Code and */ /* derivative works thereof, and to grant others the rights granted herein. */ /* */ /* - The TCG grants to the user of the other parts of the specification */ /* (other than the Source Code) the rights to reproduce, distribute, */ /* display, and perform the specification solely for the purpose of */ /* developing products based on such documents. */ /* */ /* 2. 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The format of the data depends on the setting of USE_BN_ECC_DATA. If it is defined, then the TPM's BigNum() format is used. Otherwise, it is kept in TPM2B format. The purpose of having the data in BigNum() format is so that it does not have to be reformatted before being used by the crypto library. */ #if ALG_ECC #if USE_BN_ECC_DATA # define TO_ECC_64 TO_CRYPT_WORD_64 # define TO_ECC_56(a, b, c, d, e, f, g) TO_ECC_64(0, a, b, c, d, e, f, g) # define TO_ECC_48(a, b, c, d, e, f) TO_ECC_64(0, 0, a, b, c, d, e, f) # define TO_ECC_40(a, b, c, d, e) TO_ECC_64(0, 0, 0, a, b, c, d, e) # if RADIX_BITS > 32 # define TO_ECC_32(a, b, c, d) TO_ECC_64(0, 0, 0, 0, a, b, c, d) # define TO_ECC_24(a, b, c) TO_ECC_64(0, 0, 0, 0, 0, a, b, c) # define TO_ECC_16(a, b) TO_ECC_64(0, 0, 0, 0, 0, 0, a, b) # define TO_ECC_8(a) TO_ECC_64(0, 0, 0, 0, 0, 0, 0, a) # else // RADIX_BITS == 32 # define TO_ECC_32 BIG_ENDIAN_BYTES_TO_UINT32 # define TO_ECC_24(a, b, c) TO_ECC_32(0, a, b, c) # define TO_ECC_16(a, b) TO_ECC_32(0, 0, a, b) # define TO_ECC_8(a) TO_ECC_32(0, 0, 0, a) # endif #else // TPM2B_ # define TO_ECC_64(a, b, c, d, e, f, g, h) a, b, c, d, e, f, g, h # define TO_ECC_56(a, b, c, d, e, f, g) a, b, c, d, e, f, g # define TO_ECC_48(a, b, c, d, e, f) a, b, c, d, e, f # define TO_ECC_40(a, b, c, d, e) a, b, c, d, e # define TO_ECC_32(a, b, c, d) a, b, c, d # define TO_ECC_24(a, b, c) a, b, c # define TO_ECC_16(a, b) a, b # define TO_ECC_8(a) a #endif #if USE_BN_ECC_DATA #define BN_MIN_ALLOC(bytes) \ (BYTES_TO_CRYPT_WORDS(bytes) == 0) ? 1 : BYTES_TO_CRYPT_WORDS(bytes) # define ECC_CONST(NAME, bytes, initializer) \ const struct { \ crypt_uword_t allocate, size, d[BN_MIN_ALLOC(bytes)]; \ } NAME = {BN_MIN_ALLOC(bytes), BYTES_TO_CRYPT_WORDS(bytes),{initializer}} ECC_CONST(ECC_ZERO, 0, 0); #else # define ECC_CONST(NAME, bytes, initializer) \ const TPM2B_##bytes##_BYTE_VALUE NAME = {bytes, {initializer}} /* Have to special case ECC_ZERO */ TPM2B_BYTE_VALUE(1); TPM2B_1_BYTE_VALUE ECC_ZERO = {1, {0}}; #endif ECC_CONST(ECC_ONE, 1, 1); #if !USE_BN_ECC_DATA TPM2B_BYTE_VALUE(24); #define TO_ECC_192(a, b, c) a, b, c TPM2B_BYTE_VALUE(28); #define TO_ECC_224(a, b, c, d) a, b, c, d TPM2B_BYTE_VALUE(32); #define TO_ECC_256(a, b, c, d) a, b, c, d TPM2B_BYTE_VALUE(48); #define TO_ECC_384(a, b, c, d, e, f) a, b, c, d, e, f TPM2B_BYTE_VALUE(66); #define TO_ECC_528(a, b, c, d, e, f, g, h, i) a, b, c, d, e, f, g, h, i TPM2B_BYTE_VALUE(80); #define TO_ECC_640(a, b, c, d, e, f, g, h, i, j) a, b, c, d, e, f, g, h, i, j #else #define TO_ECC_192(a, b, c) c, b, a #define TO_ECC_224(a, b, c, d) d, c, b, a #define TO_ECC_256(a, b, c, d) d, c, b, a #define TO_ECC_384(a, b, c, d, e, f) f, e, d, c, b, a #define TO_ECC_528(a, b, c, d, e, f, g, h, i) i, h, g, f, e, d, c, b, a #define TO_ECC_640(a, b, c, d, e, f, g, h, i, j) j, i, h, g, f, e, d, c, b, a #endif // !USE_BN_ECC_DATA #if ECC_NIST_P192 ECC_CONST(NIST_P192_p, 24, TO_ECC_192( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF))); ECC_CONST(NIST_P192_a, 24, TO_ECC_192( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC))); ECC_CONST(NIST_P192_b, 24, TO_ECC_192( TO_ECC_64(0x64, 0x21, 0x05, 0x19, 0xE5, 0x9C, 0x80, 0xE7), TO_ECC_64(0x0F, 0xA7, 0xE9, 0xAB, 0x72, 0x24, 0x30, 0x49), TO_ECC_64(0xFE, 0xB8, 0xDE, 0xEC, 0xC1, 0x46, 0xB9, 0xB1))); ECC_CONST(NIST_P192_gX, 24, TO_ECC_192( TO_ECC_64(0x18, 0x8D, 0xA8, 0x0E, 0xB0, 0x30, 0x90, 0xF6), TO_ECC_64(0x7C, 0xBF, 0x20, 0xEB, 0x43, 0xA1, 0x88, 0x00), TO_ECC_64(0xF4, 0xFF, 0x0A, 0xFD, 0x82, 0xFF, 0x10, 0x12))); ECC_CONST(NIST_P192_gY, 24, TO_ECC_192( TO_ECC_64(0x07, 0x19, 0x2B, 0x95, 0xFF, 0xC8, 0xDA, 0x78), TO_ECC_64(0x63, 0x10, 0x11, 0xED, 0x6B, 0x24, 0xCD, 0xD5), TO_ECC_64(0x73, 0xF9, 0x77, 0xA1, 0x1E, 0x79, 0x48, 0x11))); ECC_CONST(NIST_P192_n, 24, TO_ECC_192( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x99, 0xDE, 0xF8, 0x36), TO_ECC_64(0x14, 0x6B, 0xC9, 0xB1, 0xB4, 0xD2, 0x28, 0x31))); #define NIST_P192_h ECC_ONE #define NIST_P192_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA NIST_P192 = { (bigNum)&NIST_P192_p, (bigNum)&NIST_P192_n, (bigNum)&NIST_P192_h, (bigNum)&NIST_P192_a, (bigNum)&NIST_P192_b, {(bigNum)&NIST_P192_gX, (bigNum)&NIST_P192_gY, (bigNum)&NIST_P192_gZ}}; #else const ECC_CURVE_DATA NIST_P192 = { &NIST_P192_p.b, &NIST_P192_n.b, &NIST_P192_h.b, &NIST_P192_a.b, &NIST_P192_b.b, {&NIST_P192_gX.b, &NIST_P192_gY.b, &NIST_P192_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_NIST_P192 #if ECC_NIST_P224 ECC_CONST(NIST_P224_p, 28, TO_ECC_224( TO_ECC_32(0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01))); ECC_CONST(NIST_P224_a, 28, TO_ECC_224( TO_ECC_32(0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE))); ECC_CONST(NIST_P224_b, 28, TO_ECC_224( TO_ECC_32(0xB4, 0x05, 0x0A, 0x85), TO_ECC_64(0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56), TO_ECC_64(0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA), TO_ECC_64(0x27, 0x0B, 0x39, 0x43, 0x23, 0x55, 0xFF, 0xB4))); ECC_CONST(NIST_P224_gX, 28, TO_ECC_224( TO_ECC_32(0xB7, 0x0E, 0x0C, 0xBD), TO_ECC_64(0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9), TO_ECC_64(0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22), TO_ECC_64(0x34, 0x32, 0x80, 0xD6, 0x11, 0x5C, 0x1D, 0x21))); ECC_CONST(NIST_P224_gY, 28, TO_ECC_224( TO_ECC_32(0xBD, 0x37, 0x63, 0x88), TO_ECC_64(0xB5, 0xF7, 0x23, 0xFB, 0x4C, 0x22, 0xDF, 0xE6), TO_ECC_64(0xCD, 0x43, 0x75, 0xA0, 0x5A, 0x07, 0x47, 0x64), TO_ECC_64(0x44, 0xD5, 0x81, 0x99, 0x85, 0x00, 0x7E, 0x34))); ECC_CONST(NIST_P224_n, 28, TO_ECC_224( TO_ECC_32(0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E), TO_ECC_64(0x13, 0xDD, 0x29, 0x45, 0x5C, 0x5C, 0x2A, 0x3D))); #define NIST_P224_h ECC_ONE #define NIST_P224_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA NIST_P224 = { (bigNum)&NIST_P224_p, (bigNum)&NIST_P224_n, (bigNum)&NIST_P224_h, (bigNum)&NIST_P224_a, (bigNum)&NIST_P224_b, {(bigNum)&NIST_P224_gX, (bigNum)&NIST_P224_gY, (bigNum)&NIST_P224_gZ}}; #else const ECC_CURVE_DATA NIST_P224 = { &NIST_P224_p.b, &NIST_P224_n.b, &NIST_P224_h.b, &NIST_P224_a.b, &NIST_P224_b.b, {&NIST_P224_gX.b, &NIST_P224_gY.b, &NIST_P224_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_NIST_P224 #if ECC_NIST_P256 ECC_CONST(NIST_P256_p, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF))); ECC_CONST(NIST_P256_a, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC))); ECC_CONST(NIST_P256_b, 32, TO_ECC_256( TO_ECC_64(0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7), TO_ECC_64(0xB3, 0xEB, 0xBD, 0x55, 0x76, 0x98, 0x86, 0xBC), TO_ECC_64(0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6), TO_ECC_64(0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B))); ECC_CONST(NIST_P256_gX, 32, TO_ECC_256( TO_ECC_64(0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47), TO_ECC_64(0xF8, 0xBC, 0xE6, 0xE5, 0x63, 0xA4, 0x40, 0xF2), TO_ECC_64(0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0), TO_ECC_64(0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96))); ECC_CONST(NIST_P256_gY, 32, TO_ECC_256( TO_ECC_64(0x4F, 0xE3, 0x42, 0xE2, 0xFE, 0x1A, 0x7F, 0x9B), TO_ECC_64(0x8E, 0xE7, 0xEB, 0x4A, 0x7C, 0x0F, 0x9E, 0x16), TO_ECC_64(0x2B, 0xCE, 0x33, 0x57, 0x6B, 0x31, 0x5E, 0xCE), TO_ECC_64(0xCB, 0xB6, 0x40, 0x68, 0x37, 0xBF, 0x51, 0xF5))); ECC_CONST(NIST_P256_n, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84), TO_ECC_64(0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51))); #define NIST_P256_h ECC_ONE #define NIST_P256_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA NIST_P256 = { (bigNum)&NIST_P256_p, (bigNum)&NIST_P256_n, (bigNum)&NIST_P256_h, (bigNum)&NIST_P256_a, (bigNum)&NIST_P256_b, {(bigNum)&NIST_P256_gX, (bigNum)&NIST_P256_gY, (bigNum)&NIST_P256_gZ}}; #else const ECC_CURVE_DATA NIST_P256 = { &NIST_P256_p.b, &NIST_P256_n.b, &NIST_P256_h.b, &NIST_P256_a.b, &NIST_P256_b.b, {&NIST_P256_gX.b, &NIST_P256_gY.b, &NIST_P256_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_NIST_P256 #if ECC_NIST_P384 ECC_CONST(NIST_P384_p, 48, TO_ECC_384( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF))); ECC_CONST(NIST_P384_a, 48, TO_ECC_384( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC))); ECC_CONST(NIST_P384_b, 48, TO_ECC_384( TO_ECC_64(0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4), TO_ECC_64(0x98, 0x8E, 0x05, 0x6B, 0xE3, 0xF8, 0x2D, 0x19), TO_ECC_64(0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12), TO_ECC_64(0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A), TO_ECC_64(0xC6, 0x56, 0x39, 0x8D, 0x8A, 0x2E, 0xD1, 0x9D), TO_ECC_64(0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF))); ECC_CONST(NIST_P384_gX, 48, TO_ECC_384( TO_ECC_64(0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37), TO_ECC_64(0x8E, 0xB1, 0xC7, 0x1E, 0xF3, 0x20, 0xAD, 0x74), TO_ECC_64(0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98), TO_ECC_64(0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38), TO_ECC_64(0x55, 0x02, 0xF2, 0x5D, 0xBF, 0x55, 0x29, 0x6C), TO_ECC_64(0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7))); ECC_CONST(NIST_P384_gY, 48, TO_ECC_384( TO_ECC_64(0x36, 0x17, 0xDE, 0x4A, 0x96, 0x26, 0x2C, 0x6F), TO_ECC_64(0x5D, 0x9E, 0x98, 0xBF, 0x92, 0x92, 0xDC, 0x29), TO_ECC_64(0xF8, 0xF4, 0x1D, 0xBD, 0x28, 0x9A, 0x14, 0x7C), TO_ECC_64(0xE9, 0xDA, 0x31, 0x13, 0xB5, 0xF0, 0xB8, 0xC0), TO_ECC_64(0x0A, 0x60, 0xB1, 0xCE, 0x1D, 0x7E, 0x81, 0x9D), TO_ECC_64(0x7A, 0x43, 0x1D, 0x7C, 0x90, 0xEA, 0x0E, 0x5F))); ECC_CONST(NIST_P384_n, 48, TO_ECC_384( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF), TO_ECC_64(0x58, 0x1A, 0x0D, 0xB2, 0x48, 0xB0, 0xA7, 0x7A), TO_ECC_64(0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73))); #define NIST_P384_h ECC_ONE #define NIST_P384_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA NIST_P384 = { (bigNum)&NIST_P384_p, (bigNum)&NIST_P384_n, (bigNum)&NIST_P384_h, (bigNum)&NIST_P384_a, (bigNum)&NIST_P384_b, {(bigNum)&NIST_P384_gX, (bigNum)&NIST_P384_gY, (bigNum)&NIST_P384_gZ}}; #else const ECC_CURVE_DATA NIST_P384 = { &NIST_P384_p.b, &NIST_P384_n.b, &NIST_P384_h.b, &NIST_P384_a.b, &NIST_P384_b.b, {&NIST_P384_gX.b, &NIST_P384_gY.b, &NIST_P384_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_NIST_P384 #if ECC_NIST_P521 ECC_CONST(NIST_P521_p, 66, TO_ECC_528( TO_ECC_16(0x01, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF))); ECC_CONST(NIST_P521_a, 66, TO_ECC_528( TO_ECC_16(0x01, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC))); ECC_CONST(NIST_P521_b, 66, TO_ECC_528( TO_ECC_16(0x00, 0x51), TO_ECC_64(0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F), TO_ECC_64(0x92, 0x9A, 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE), TO_ECC_64(0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3, 0x15, 0xF3), TO_ECC_64(0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1), TO_ECC_64(0x56, 0x19, 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B), TO_ECC_64(0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1, 0xBF, 0x07), TO_ECC_64(0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1), TO_ECC_64(0xEF, 0x45, 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00))); ECC_CONST(NIST_P521_gX, 66, TO_ECC_528( TO_ECC_16(0x00, 0xC6), TO_ECC_64(0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD), TO_ECC_64(0x9E, 0x3E, 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42), TO_ECC_64(0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F, 0xB5, 0x21), TO_ECC_64(0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA), TO_ECC_64(0xA1, 0x4B, 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28), TO_ECC_64(0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF, 0xA8, 0xDE), TO_ECC_64(0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B), TO_ECC_64(0xF9, 0x7E, 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66))); ECC_CONST(NIST_P521_gY, 66, TO_ECC_528( TO_ECC_16(0x01, 0x18), TO_ECC_64(0x39, 0x29, 0x6A, 0x78, 0x9A, 0x3B, 0xC0, 0x04), TO_ECC_64(0x5C, 0x8A, 0x5F, 0xB4, 0x2C, 0x7D, 0x1B, 0xD9), TO_ECC_64(0x98, 0xF5, 0x44, 0x49, 0x57, 0x9B, 0x44, 0x68), TO_ECC_64(0x17, 0xAF, 0xBD, 0x17, 0x27, 0x3E, 0x66, 0x2C), TO_ECC_64(0x97, 0xEE, 0x72, 0x99, 0x5E, 0xF4, 0x26, 0x40), TO_ECC_64(0xC5, 0x50, 0xB9, 0x01, 0x3F, 0xAD, 0x07, 0x61), TO_ECC_64(0x35, 0x3C, 0x70, 0x86, 0xA2, 0x72, 0xC2, 0x40), TO_ECC_64(0x88, 0xBE, 0x94, 0x76, 0x9F, 0xD1, 0x66, 0x50))); ECC_CONST(NIST_P521_n, 66, TO_ECC_528( TO_ECC_16(0x01, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA), TO_ECC_64(0x51, 0x86, 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B), TO_ECC_64(0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09, 0xA5, 0xD0), TO_ECC_64(0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE), TO_ECC_64(0xBB, 0x6F, 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09))); #define NIST_P521_h ECC_ONE #define NIST_P521_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA NIST_P521 = { (bigNum)&NIST_P521_p, (bigNum)&NIST_P521_n, (bigNum)&NIST_P521_h, (bigNum)&NIST_P521_a, (bigNum)&NIST_P521_b, {(bigNum)&NIST_P521_gX, (bigNum)&NIST_P521_gY, (bigNum)&NIST_P521_gZ}}; #else const ECC_CURVE_DATA NIST_P521 = { &NIST_P521_p.b, &NIST_P521_n.b, &NIST_P521_h.b, &NIST_P521_a.b, &NIST_P521_b.b, {&NIST_P521_gX.b, &NIST_P521_gY.b, &NIST_P521_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_NIST_P521 #if ECC_BN_P256 ECC_CONST(BN_P256_p, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0xF0, 0xCD), TO_ECC_64(0x46, 0xE5, 0xF2, 0x5E, 0xEE, 0x71, 0xA4, 0x9F), TO_ECC_64(0x0C, 0xDC, 0x65, 0xFB, 0x12, 0x98, 0x0A, 0x82), TO_ECC_64(0xD3, 0x29, 0x2D, 0xDB, 0xAE, 0xD3, 0x30, 0x13))); #define BN_P256_a ECC_ZERO ECC_CONST(BN_P256_b, 1, TO_ECC_8(3)); #define BN_P256_gX ECC_ONE ECC_CONST(BN_P256_gY, 1, TO_ECC_8(2)); ECC_CONST(BN_P256_n, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0xF0, 0xCD), TO_ECC_64(0x46, 0xE5, 0xF2, 0x5E, 0xEE, 0x71, 0xA4, 0x9E), TO_ECC_64(0x0C, 0xDC, 0x65, 0xFB, 0x12, 0x99, 0x92, 0x1A), TO_ECC_64(0xF6, 0x2D, 0x53, 0x6C, 0xD1, 0x0B, 0x50, 0x0D))); #define BN_P256_h ECC_ONE #define BN_P256_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA BN_P256 = { (bigNum)&BN_P256_p, (bigNum)&BN_P256_n, (bigNum)&BN_P256_h, (bigNum)&BN_P256_a, (bigNum)&BN_P256_b, {(bigNum)&BN_P256_gX, (bigNum)&BN_P256_gY, (bigNum)&BN_P256_gZ}}; #else const ECC_CURVE_DATA BN_P256 = { &BN_P256_p.b, &BN_P256_n.b, &BN_P256_h.b, &BN_P256_a.b, &BN_P256_b.b, {&BN_P256_gX.b, &BN_P256_gY.b, &BN_P256_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_BN_P256 #if ECC_BN_P638 ECC_CONST(BN_P638_p, 80, TO_ECC_640( TO_ECC_64(0x23, 0xFF, 0xFF, 0xFD, 0xC0, 0x00, 0x00, 0x0D), TO_ECC_64(0x7F, 0xFF, 0xFF, 0xB8, 0x00, 0x00, 0x01, 0xD3), TO_ECC_64(0xFF, 0xFF, 0xF9, 0x42, 0xD0, 0x00, 0x16, 0x5E), TO_ECC_64(0x3F, 0xFF, 0x94, 0x87, 0x00, 0x00, 0xD5, 0x2F), TO_ECC_64(0xFF, 0xFD, 0xD0, 0xE0, 0x00, 0x08, 0xDE, 0x55), TO_ECC_64(0xC0, 0x00, 0x86, 0x52, 0x00, 0x21, 0xE5, 0x5B), TO_ECC_64(0xFF, 0xFF, 0xF5, 0x1F, 0xFF, 0xF4, 0xEB, 0x80), TO_ECC_64(0x00, 0x00, 0x00, 0x4C, 0x80, 0x01, 0x5A, 0xCD), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xEC, 0xE0), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x67))); #define BN_P638_a ECC_ZERO ECC_CONST(BN_P638_b, 2, TO_ECC_16(0x01,0x01)); ECC_CONST(BN_P638_gX, 80, TO_ECC_640( TO_ECC_64(0x23, 0xFF, 0xFF, 0xFD, 0xC0, 0x00, 0x00, 0x0D), TO_ECC_64(0x7F, 0xFF, 0xFF, 0xB8, 0x00, 0x00, 0x01, 0xD3), TO_ECC_64(0xFF, 0xFF, 0xF9, 0x42, 0xD0, 0x00, 0x16, 0x5E), TO_ECC_64(0x3F, 0xFF, 0x94, 0x87, 0x00, 0x00, 0xD5, 0x2F), TO_ECC_64(0xFF, 0xFD, 0xD0, 0xE0, 0x00, 0x08, 0xDE, 0x55), TO_ECC_64(0xC0, 0x00, 0x86, 0x52, 0x00, 0x21, 0xE5, 0x5B), TO_ECC_64(0xFF, 0xFF, 0xF5, 0x1F, 0xFF, 0xF4, 0xEB, 0x80), TO_ECC_64(0x00, 0x00, 0x00, 0x4C, 0x80, 0x01, 0x5A, 0xCD), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xEC, 0xE0), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x66))); ECC_CONST(BN_P638_gY, 1, TO_ECC_8(0x10)); ECC_CONST(BN_P638_n, 80, TO_ECC_640( TO_ECC_64(0x23, 0xFF, 0xFF, 0xFD, 0xC0, 0x00, 0x00, 0x0D), TO_ECC_64(0x7F, 0xFF, 0xFF, 0xB8, 0x00, 0x00, 0x01, 0xD3), TO_ECC_64(0xFF, 0xFF, 0xF9, 0x42, 0xD0, 0x00, 0x16, 0x5E), TO_ECC_64(0x3F, 0xFF, 0x94, 0x87, 0x00, 0x00, 0xD5, 0x2F), TO_ECC_64(0xFF, 0xFD, 0xD0, 0xE0, 0x00, 0x08, 0xDE, 0x55), TO_ECC_64(0x60, 0x00, 0x86, 0x55, 0x00, 0x21, 0xE5, 0x55), TO_ECC_64(0xFF, 0xFF, 0xF5, 0x4F, 0xFF, 0xF4, 0xEA, 0xC0), TO_ECC_64(0x00, 0x00, 0x00, 0x49, 0x80, 0x01, 0x54, 0xD9), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xED, 0xA0), TO_ECC_64(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x61))); #define BN_P638_h ECC_ONE #define BN_P638_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA BN_P638 = { (bigNum)&BN_P638_p, (bigNum)&BN_P638_n, (bigNum)&BN_P638_h, (bigNum)&BN_P638_a, (bigNum)&BN_P638_b, {(bigNum)&BN_P638_gX, (bigNum)&BN_P638_gY, (bigNum)&BN_P638_gZ}}; #else const ECC_CURVE_DATA BN_P638 = { &BN_P638_p.b, &BN_P638_n.b, &BN_P638_h.b, &BN_P638_a.b, &BN_P638_b.b, {&BN_P638_gX.b, &BN_P638_gY.b, &BN_P638_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_BN_P638 #if ECC_SM2_P256 ECC_CONST(SM2_P256_p, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF))); ECC_CONST(SM2_P256_a, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC))); ECC_CONST(SM2_P256_b, 32, TO_ECC_256( TO_ECC_64(0x28, 0xE9, 0xFA, 0x9E, 0x9D, 0x9F, 0x5E, 0x34), TO_ECC_64(0x4D, 0x5A, 0x9E, 0x4B, 0xCF, 0x65, 0x09, 0xA7), TO_ECC_64(0xF3, 0x97, 0x89, 0xF5, 0x15, 0xAB, 0x8F, 0x92), TO_ECC_64(0xDD, 0xBC, 0xBD, 0x41, 0x4D, 0x94, 0x0E, 0x93))); ECC_CONST(SM2_P256_gX, 32, TO_ECC_256( TO_ECC_64(0x32, 0xC4, 0xAE, 0x2C, 0x1F, 0x19, 0x81, 0x19), TO_ECC_64(0x5F, 0x99, 0x04, 0x46, 0x6A, 0x39, 0xC9, 0x94), TO_ECC_64(0x8F, 0xE3, 0x0B, 0xBF, 0xF2, 0x66, 0x0B, 0xE1), TO_ECC_64(0x71, 0x5A, 0x45, 0x89, 0x33, 0x4C, 0x74, 0xC7))); ECC_CONST(SM2_P256_gY, 32, TO_ECC_256( TO_ECC_64(0xBC, 0x37, 0x36, 0xA2, 0xF4, 0xF6, 0x77, 0x9C), TO_ECC_64(0x59, 0xBD, 0xCE, 0xE3, 0x6B, 0x69, 0x21, 0x53), TO_ECC_64(0xD0, 0xA9, 0x87, 0x7C, 0xC6, 0x2A, 0x47, 0x40), TO_ECC_64(0x02, 0xDF, 0x32, 0xE5, 0x21, 0x39, 0xF0, 0xA0))); ECC_CONST(SM2_P256_n, 32, TO_ECC_256( TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF), TO_ECC_64(0x72, 0x03, 0xDF, 0x6B, 0x21, 0xC6, 0x05, 0x2B), TO_ECC_64(0x53, 0xBB, 0xF4, 0x09, 0x39, 0xD5, 0x41, 0x23))); #define SM2_P256_h ECC_ONE #define SM2_P256_gZ ECC_ONE #if USE_BN_ECC_DATA const ECC_CURVE_DATA SM2_P256 = { (bigNum)&SM2_P256_p, (bigNum)&SM2_P256_n, (bigNum)&SM2_P256_h, (bigNum)&SM2_P256_a, (bigNum)&SM2_P256_b, {(bigNum)&SM2_P256_gX, (bigNum)&SM2_P256_gY, (bigNum)&SM2_P256_gZ}}; #else const ECC_CURVE_DATA SM2_P256 = { &SM2_P256_p.b, &SM2_P256_n.b, &SM2_P256_h.b, &SM2_P256_a.b, &SM2_P256_b.b, {&SM2_P256_gX.b, &SM2_P256_gY.b, &SM2_P256_gZ.b}}; #endif // USE_BN_ECC_DATA #endif // ECC_SM2_P256 #define comma const ECC_CURVE eccCurves[] = { #if ECC_NIST_P192 comma {TPM_ECC_NIST_P192, 192, {TPM_ALG_KDF1_SP800_56A, {{TPM_ALG_SHA256}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &NIST_P192, OID_ECC_NIST_P192 CURVE_NAME("NIST_P192")} # undef comma # define comma , #endif // ECC_NIST_P192 #if ECC_NIST_P224 comma {TPM_ECC_NIST_P224, 224, {TPM_ALG_KDF1_SP800_56A_, {{TPM_ALG_SHA256}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &NIST_P224, OID_ECC_NIST_P224 CURVE_NAME("NIST_P224")} # undef comma # define comma , #endif // ECC_NIST_P224 #if ECC_NIST_P256 comma {TPM_ECC_NIST_P256, 256, {TPM_ALG_KDF1_SP800_56A, {{TPM_ALG_SHA256}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &NIST_P256, OID_ECC_NIST_P256 CURVE_NAME("NIST_P256")} # undef comma # define comma , #endif // ECC_NIST_P256 #if ECC_NIST_P384 comma {TPM_ECC_NIST_P384, 384, {TPM_ALG_KDF1_SP800_56A, {{TPM_ALG_SHA384}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &NIST_P384, OID_ECC_NIST_P384 CURVE_NAME("NIST_P384")} # undef comma # define comma , #endif // ECC_NIST_P384 #if ECC_NIST_P521 comma {TPM_ECC_NIST_P521, 521, {TPM_ALG_KDF1_SP800_56A, {{TPM_ALG_SHA512}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &NIST_P521, OID_ECC_NIST_P521 CURVE_NAME("NIST_P521")} # undef comma # define comma , #endif // ECC_NIST_P521 #if ECC_BN_P256 comma {TPM_ECC_BN_P256, 256, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &BN_P256, OID_ECC_BN_P256 CURVE_NAME("BN_P256")} # undef comma # define comma , #endif // ECC_BN_P256 #if ECC_BN_P638 comma {TPM_ECC_BN_P638, 638, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &BN_P638, OID_ECC_BN_P638 CURVE_NAME("BN_P638")} # undef comma # define comma , #endif // ECC_BN_P638 #if ECC_SM2_P256 comma {TPM_ECC_SM2_P256, 256, {TPM_ALG_KDF1_SP800_56A, {{TPM_ALG_SM3_256}}}, {TPM_ALG_NULL, {{TPM_ALG_NULL}}}, &SM2_P256, OID_ECC_SM2_P256 CURVE_NAME("SM2_P256")} # undef comma # define comma , #endif // ECC_SM2_P256 }; #endif // TPM_ALG_ECC