Maxim nexpaq / nexpaq_dev

Preliminary main mbed library for nexpaq development

features/mbedtls/src/ecp_curves.c@1:d96dbedaebdb, 2016-11-04 (annotated)

Committer:
nexpaq
Date:
Fri Nov 04 20:54:50 2016 +0000
Revision:
1:d96dbedaebdb
Parent:
0:6c56fb4bc5f0 
Removed extra directories for other platforms

Who changed what in which revision?

UserRevisionLine numberNew contents of line
nexpaq 0:6c56fb4bc5f0 1 /*
nexpaq 0:6c56fb4bc5f0 2 * Elliptic curves over GF(p): curve-specific data and functions
nexpaq 0:6c56fb4bc5f0 3 *
nexpaq 0:6c56fb4bc5f0 4 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
nexpaq 0:6c56fb4bc5f0 5 * SPDX-License-Identifier: Apache-2.0
nexpaq 0:6c56fb4bc5f0 6 *
nexpaq 0:6c56fb4bc5f0 7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
nexpaq 0:6c56fb4bc5f0 8 * not use this file except in compliance with the License.
nexpaq 0:6c56fb4bc5f0 9 * You may obtain a copy of the License at
nexpaq 0:6c56fb4bc5f0 10 *
nexpaq 0:6c56fb4bc5f0 11 * http://www.apache.org/licenses/LICENSE-2.0
nexpaq 0:6c56fb4bc5f0 12 *
nexpaq 0:6c56fb4bc5f0 13 * Unless required by applicable law or agreed to in writing, software
nexpaq 0:6c56fb4bc5f0 14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
nexpaq 0:6c56fb4bc5f0 15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
nexpaq 0:6c56fb4bc5f0 16 * See the License for the specific language governing permissions and
nexpaq 0:6c56fb4bc5f0 17 * limitations under the License.
nexpaq 0:6c56fb4bc5f0 18 *
nexpaq 0:6c56fb4bc5f0 19 * This file is part of mbed TLS (https://tls.mbed.org)
nexpaq 0:6c56fb4bc5f0 20 */
nexpaq 0:6c56fb4bc5f0 21
nexpaq 0:6c56fb4bc5f0 22 #if !defined(MBEDTLS_CONFIG_FILE)
nexpaq 0:6c56fb4bc5f0 23 #include "mbedtls/config.h"
nexpaq 0:6c56fb4bc5f0 24 #else
nexpaq 0:6c56fb4bc5f0 25 #include MBEDTLS_CONFIG_FILE
nexpaq 0:6c56fb4bc5f0 26 #endif
nexpaq 0:6c56fb4bc5f0 27
nexpaq 0:6c56fb4bc5f0 28 #if defined(MBEDTLS_ECP_C)
nexpaq 0:6c56fb4bc5f0 29
nexpaq 0:6c56fb4bc5f0 30 #include "mbedtls/ecp.h"
nexpaq 0:6c56fb4bc5f0 31
nexpaq 0:6c56fb4bc5f0 32 #include <string.h>
nexpaq 0:6c56fb4bc5f0 33
nexpaq 0:6c56fb4bc5f0 34 #if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
nexpaq 0:6c56fb4bc5f0 35 !defined(inline) && !defined(__cplusplus)
nexpaq 0:6c56fb4bc5f0 36 #define inline __inline
nexpaq 0:6c56fb4bc5f0 37 #endif
nexpaq 0:6c56fb4bc5f0 38
nexpaq 0:6c56fb4bc5f0 39 /*
nexpaq 0:6c56fb4bc5f0 40 * Conversion macros for embedded constants:
nexpaq 0:6c56fb4bc5f0 41 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
nexpaq 0:6c56fb4bc5f0 42 */
nexpaq 0:6c56fb4bc5f0 43 #if defined(MBEDTLS_HAVE_INT32)
nexpaq 0:6c56fb4bc5f0 44
nexpaq 0:6c56fb4bc5f0 45 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
nexpaq 0:6c56fb4bc5f0 46 ( (mbedtls_mpi_uint) a << 0 ) | \
nexpaq 0:6c56fb4bc5f0 47 ( (mbedtls_mpi_uint) b << 8 ) | \
nexpaq 0:6c56fb4bc5f0 48 ( (mbedtls_mpi_uint) c << 16 ) | \
nexpaq 0:6c56fb4bc5f0 49 ( (mbedtls_mpi_uint) d << 24 )
nexpaq 0:6c56fb4bc5f0 50
nexpaq 0:6c56fb4bc5f0 51 #define BYTES_TO_T_UINT_2( a, b ) \
nexpaq 0:6c56fb4bc5f0 52 BYTES_TO_T_UINT_4( a, b, 0, 0 )
nexpaq 0:6c56fb4bc5f0 53
nexpaq 0:6c56fb4bc5f0 54 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
nexpaq 0:6c56fb4bc5f0 55 BYTES_TO_T_UINT_4( a, b, c, d ), \
nexpaq 0:6c56fb4bc5f0 56 BYTES_TO_T_UINT_4( e, f, g, h )
nexpaq 0:6c56fb4bc5f0 57
nexpaq 0:6c56fb4bc5f0 58 #else /* 64-bits */
nexpaq 0:6c56fb4bc5f0 59
nexpaq 0:6c56fb4bc5f0 60 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
nexpaq 0:6c56fb4bc5f0 61 ( (mbedtls_mpi_uint) a << 0 ) | \
nexpaq 0:6c56fb4bc5f0 62 ( (mbedtls_mpi_uint) b << 8 ) | \
nexpaq 0:6c56fb4bc5f0 63 ( (mbedtls_mpi_uint) c << 16 ) | \
nexpaq 0:6c56fb4bc5f0 64 ( (mbedtls_mpi_uint) d << 24 ) | \
nexpaq 0:6c56fb4bc5f0 65 ( (mbedtls_mpi_uint) e << 32 ) | \
nexpaq 0:6c56fb4bc5f0 66 ( (mbedtls_mpi_uint) f << 40 ) | \
nexpaq 0:6c56fb4bc5f0 67 ( (mbedtls_mpi_uint) g << 48 ) | \
nexpaq 0:6c56fb4bc5f0 68 ( (mbedtls_mpi_uint) h << 56 )
nexpaq 0:6c56fb4bc5f0 69
nexpaq 0:6c56fb4bc5f0 70 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
nexpaq 0:6c56fb4bc5f0 71 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
nexpaq 0:6c56fb4bc5f0 72
nexpaq 0:6c56fb4bc5f0 73 #define BYTES_TO_T_UINT_2( a, b ) \
nexpaq 0:6c56fb4bc5f0 74 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
nexpaq 0:6c56fb4bc5f0 75
nexpaq 0:6c56fb4bc5f0 76 #endif /* bits in mbedtls_mpi_uint */
nexpaq 0:6c56fb4bc5f0 77
nexpaq 0:6c56fb4bc5f0 78 /*
nexpaq 0:6c56fb4bc5f0 79 * Note: the constants are in little-endian order
nexpaq 0:6c56fb4bc5f0 80 * to be directly usable in MPIs
nexpaq 0:6c56fb4bc5f0 81 */
nexpaq 0:6c56fb4bc5f0 82
nexpaq 0:6c56fb4bc5f0 83 /*
nexpaq 0:6c56fb4bc5f0 84 * Domain parameters for secp192r1
nexpaq 0:6c56fb4bc5f0 85 */
nexpaq 0:6c56fb4bc5f0 86 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 87 static const mbedtls_mpi_uint secp192r1_p[] = {
nexpaq 0:6c56fb4bc5f0 88 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 89 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 90 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 91 };
nexpaq 0:6c56fb4bc5f0 92 static const mbedtls_mpi_uint secp192r1_b[] = {
nexpaq 0:6c56fb4bc5f0 93 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
nexpaq 0:6c56fb4bc5f0 94 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
nexpaq 0:6c56fb4bc5f0 95 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
nexpaq 0:6c56fb4bc5f0 96 };
nexpaq 0:6c56fb4bc5f0 97 static const mbedtls_mpi_uint secp192r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 98 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
nexpaq 0:6c56fb4bc5f0 99 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
nexpaq 0:6c56fb4bc5f0 100 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
nexpaq 0:6c56fb4bc5f0 101 };
nexpaq 0:6c56fb4bc5f0 102 static const mbedtls_mpi_uint secp192r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 103 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
nexpaq 0:6c56fb4bc5f0 104 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
nexpaq 0:6c56fb4bc5f0 105 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
nexpaq 0:6c56fb4bc5f0 106 };
nexpaq 0:6c56fb4bc5f0 107 static const mbedtls_mpi_uint secp192r1_n[] = {
nexpaq 0:6c56fb4bc5f0 108 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
nexpaq 0:6c56fb4bc5f0 109 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 110 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 111 };
nexpaq 0:6c56fb4bc5f0 112 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 113
nexpaq 0:6c56fb4bc5f0 114 /*
nexpaq 0:6c56fb4bc5f0 115 * Domain parameters for secp224r1
nexpaq 0:6c56fb4bc5f0 116 */
nexpaq 0:6c56fb4bc5f0 117 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 118 static const mbedtls_mpi_uint secp224r1_p[] = {
nexpaq 0:6c56fb4bc5f0 119 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 120 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 121 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 122 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 123 };
nexpaq 0:6c56fb4bc5f0 124 static const mbedtls_mpi_uint secp224r1_b[] = {
nexpaq 0:6c56fb4bc5f0 125 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
nexpaq 0:6c56fb4bc5f0 126 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
nexpaq 0:6c56fb4bc5f0 127 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
nexpaq 0:6c56fb4bc5f0 128 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
nexpaq 0:6c56fb4bc5f0 129 };
nexpaq 0:6c56fb4bc5f0 130 static const mbedtls_mpi_uint secp224r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 131 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
nexpaq 0:6c56fb4bc5f0 132 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
nexpaq 0:6c56fb4bc5f0 133 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
nexpaq 0:6c56fb4bc5f0 134 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
nexpaq 0:6c56fb4bc5f0 135 };
nexpaq 0:6c56fb4bc5f0 136 static const mbedtls_mpi_uint secp224r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 137 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
nexpaq 0:6c56fb4bc5f0 138 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
nexpaq 0:6c56fb4bc5f0 139 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
nexpaq 0:6c56fb4bc5f0 140 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
nexpaq 0:6c56fb4bc5f0 141 };
nexpaq 0:6c56fb4bc5f0 142 static const mbedtls_mpi_uint secp224r1_n[] = {
nexpaq 0:6c56fb4bc5f0 143 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
nexpaq 0:6c56fb4bc5f0 144 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 145 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 146 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 147 };
nexpaq 0:6c56fb4bc5f0 148 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 149
nexpaq 0:6c56fb4bc5f0 150 /*
nexpaq 0:6c56fb4bc5f0 151 * Domain parameters for secp256r1
nexpaq 0:6c56fb4bc5f0 152 */
nexpaq 0:6c56fb4bc5f0 153 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 154 static const mbedtls_mpi_uint secp256r1_p[] = {
nexpaq 0:6c56fb4bc5f0 155 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 156 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 157 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 158 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 159 };
nexpaq 0:6c56fb4bc5f0 160 static const mbedtls_mpi_uint secp256r1_b[] = {
nexpaq 0:6c56fb4bc5f0 161 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
nexpaq 0:6c56fb4bc5f0 162 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
nexpaq 0:6c56fb4bc5f0 163 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
nexpaq 0:6c56fb4bc5f0 164 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
nexpaq 0:6c56fb4bc5f0 165 };
nexpaq 0:6c56fb4bc5f0 166 static const mbedtls_mpi_uint secp256r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 167 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
nexpaq 0:6c56fb4bc5f0 168 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
nexpaq 0:6c56fb4bc5f0 169 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
nexpaq 0:6c56fb4bc5f0 170 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
nexpaq 0:6c56fb4bc5f0 171 };
nexpaq 0:6c56fb4bc5f0 172 static const mbedtls_mpi_uint secp256r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 173 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
nexpaq 0:6c56fb4bc5f0 174 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
nexpaq 0:6c56fb4bc5f0 175 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
nexpaq 0:6c56fb4bc5f0 176 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
nexpaq 0:6c56fb4bc5f0 177 };
nexpaq 0:6c56fb4bc5f0 178 static const mbedtls_mpi_uint secp256r1_n[] = {
nexpaq 0:6c56fb4bc5f0 179 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
nexpaq 0:6c56fb4bc5f0 180 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
nexpaq 0:6c56fb4bc5f0 181 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 182 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 183 };
nexpaq 0:6c56fb4bc5f0 184 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 185
nexpaq 0:6c56fb4bc5f0 186 /*
nexpaq 0:6c56fb4bc5f0 187 * Domain parameters for secp384r1
nexpaq 0:6c56fb4bc5f0 188 */
nexpaq 0:6c56fb4bc5f0 189 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 190 static const mbedtls_mpi_uint secp384r1_p[] = {
nexpaq 0:6c56fb4bc5f0 191 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 192 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 193 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 194 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 195 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 196 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 197 };
nexpaq 0:6c56fb4bc5f0 198 static const mbedtls_mpi_uint secp384r1_b[] = {
nexpaq 0:6c56fb4bc5f0 199 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
nexpaq 0:6c56fb4bc5f0 200 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
nexpaq 0:6c56fb4bc5f0 201 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
nexpaq 0:6c56fb4bc5f0 202 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
nexpaq 0:6c56fb4bc5f0 203 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
nexpaq 0:6c56fb4bc5f0 204 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
nexpaq 0:6c56fb4bc5f0 205 };
nexpaq 0:6c56fb4bc5f0 206 static const mbedtls_mpi_uint secp384r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 207 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
nexpaq 0:6c56fb4bc5f0 208 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
nexpaq 0:6c56fb4bc5f0 209 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
nexpaq 0:6c56fb4bc5f0 210 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
nexpaq 0:6c56fb4bc5f0 211 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
nexpaq 0:6c56fb4bc5f0 212 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
nexpaq 0:6c56fb4bc5f0 213 };
nexpaq 0:6c56fb4bc5f0 214 static const mbedtls_mpi_uint secp384r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 215 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
nexpaq 0:6c56fb4bc5f0 216 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
nexpaq 0:6c56fb4bc5f0 217 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
nexpaq 0:6c56fb4bc5f0 218 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
nexpaq 0:6c56fb4bc5f0 219 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
nexpaq 0:6c56fb4bc5f0 220 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
nexpaq 0:6c56fb4bc5f0 221 };
nexpaq 0:6c56fb4bc5f0 222 static const mbedtls_mpi_uint secp384r1_n[] = {
nexpaq 0:6c56fb4bc5f0 223 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
nexpaq 0:6c56fb4bc5f0 224 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
nexpaq 0:6c56fb4bc5f0 225 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
nexpaq 0:6c56fb4bc5f0 226 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 227 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 228 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 229 };
nexpaq 0:6c56fb4bc5f0 230 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 231
nexpaq 0:6c56fb4bc5f0 232 /*
nexpaq 0:6c56fb4bc5f0 233 * Domain parameters for secp521r1
nexpaq 0:6c56fb4bc5f0 234 */
nexpaq 0:6c56fb4bc5f0 235 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 236 static const mbedtls_mpi_uint secp521r1_p[] = {
nexpaq 0:6c56fb4bc5f0 237 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 238 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 239 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 240 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 241 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 242 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 243 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 244 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 245 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
nexpaq 0:6c56fb4bc5f0 246 };
nexpaq 0:6c56fb4bc5f0 247 static const mbedtls_mpi_uint secp521r1_b[] = {
nexpaq 0:6c56fb4bc5f0 248 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
nexpaq 0:6c56fb4bc5f0 249 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
nexpaq 0:6c56fb4bc5f0 250 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
nexpaq 0:6c56fb4bc5f0 251 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
nexpaq 0:6c56fb4bc5f0 252 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
nexpaq 0:6c56fb4bc5f0 253 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
nexpaq 0:6c56fb4bc5f0 254 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
nexpaq 0:6c56fb4bc5f0 255 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
nexpaq 0:6c56fb4bc5f0 256 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
nexpaq 0:6c56fb4bc5f0 257 };
nexpaq 0:6c56fb4bc5f0 258 static const mbedtls_mpi_uint secp521r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 259 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
nexpaq 0:6c56fb4bc5f0 260 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
nexpaq 0:6c56fb4bc5f0 261 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
nexpaq 0:6c56fb4bc5f0 262 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
nexpaq 0:6c56fb4bc5f0 263 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
nexpaq 0:6c56fb4bc5f0 264 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
nexpaq 0:6c56fb4bc5f0 265 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
nexpaq 0:6c56fb4bc5f0 266 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
nexpaq 0:6c56fb4bc5f0 267 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
nexpaq 0:6c56fb4bc5f0 268 };
nexpaq 0:6c56fb4bc5f0 269 static const mbedtls_mpi_uint secp521r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 270 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
nexpaq 0:6c56fb4bc5f0 271 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
nexpaq 0:6c56fb4bc5f0 272 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
nexpaq 0:6c56fb4bc5f0 273 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
nexpaq 0:6c56fb4bc5f0 274 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
nexpaq 0:6c56fb4bc5f0 275 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
nexpaq 0:6c56fb4bc5f0 276 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
nexpaq 0:6c56fb4bc5f0 277 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
nexpaq 0:6c56fb4bc5f0 278 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
nexpaq 0:6c56fb4bc5f0 279 };
nexpaq 0:6c56fb4bc5f0 280 static const mbedtls_mpi_uint secp521r1_n[] = {
nexpaq 0:6c56fb4bc5f0 281 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
nexpaq 0:6c56fb4bc5f0 282 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
nexpaq 0:6c56fb4bc5f0 283 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
nexpaq 0:6c56fb4bc5f0 284 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
nexpaq 0:6c56fb4bc5f0 285 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 286 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 287 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 288 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 289 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
nexpaq 0:6c56fb4bc5f0 290 };
nexpaq 0:6c56fb4bc5f0 291 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 292
nexpaq 0:6c56fb4bc5f0 293 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 294 static const mbedtls_mpi_uint secp192k1_p[] = {
nexpaq 0:6c56fb4bc5f0 295 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 296 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 297 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 298 };
nexpaq 0:6c56fb4bc5f0 299 static const mbedtls_mpi_uint secp192k1_a[] = {
nexpaq 0:6c56fb4bc5f0 300 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 301 };
nexpaq 0:6c56fb4bc5f0 302 static const mbedtls_mpi_uint secp192k1_b[] = {
nexpaq 0:6c56fb4bc5f0 303 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
nexpaq 0:6c56fb4bc5f0 304 };
nexpaq 0:6c56fb4bc5f0 305 static const mbedtls_mpi_uint secp192k1_gx[] = {
nexpaq 0:6c56fb4bc5f0 306 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
nexpaq 0:6c56fb4bc5f0 307 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
nexpaq 0:6c56fb4bc5f0 308 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
nexpaq 0:6c56fb4bc5f0 309 };
nexpaq 0:6c56fb4bc5f0 310 static const mbedtls_mpi_uint secp192k1_gy[] = {
nexpaq 0:6c56fb4bc5f0 311 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
nexpaq 0:6c56fb4bc5f0 312 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
nexpaq 0:6c56fb4bc5f0 313 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
nexpaq 0:6c56fb4bc5f0 314 };
nexpaq 0:6c56fb4bc5f0 315 static const mbedtls_mpi_uint secp192k1_n[] = {
nexpaq 0:6c56fb4bc5f0 316 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
nexpaq 0:6c56fb4bc5f0 317 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 318 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 319 };
nexpaq 0:6c56fb4bc5f0 320 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 321
nexpaq 0:6c56fb4bc5f0 322 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 323 static const mbedtls_mpi_uint secp224k1_p[] = {
nexpaq 0:6c56fb4bc5f0 324 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 325 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 326 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 327 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 328 };
nexpaq 0:6c56fb4bc5f0 329 static const mbedtls_mpi_uint secp224k1_a[] = {
nexpaq 0:6c56fb4bc5f0 330 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 331 };
nexpaq 0:6c56fb4bc5f0 332 static const mbedtls_mpi_uint secp224k1_b[] = {
nexpaq 0:6c56fb4bc5f0 333 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
nexpaq 0:6c56fb4bc5f0 334 };
nexpaq 0:6c56fb4bc5f0 335 static const mbedtls_mpi_uint secp224k1_gx[] = {
nexpaq 0:6c56fb4bc5f0 336 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
nexpaq 0:6c56fb4bc5f0 337 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
nexpaq 0:6c56fb4bc5f0 338 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
nexpaq 0:6c56fb4bc5f0 339 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
nexpaq 0:6c56fb4bc5f0 340 };
nexpaq 0:6c56fb4bc5f0 341 static const mbedtls_mpi_uint secp224k1_gy[] = {
nexpaq 0:6c56fb4bc5f0 342 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
nexpaq 0:6c56fb4bc5f0 343 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
nexpaq 0:6c56fb4bc5f0 344 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
nexpaq 0:6c56fb4bc5f0 345 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
nexpaq 0:6c56fb4bc5f0 346 };
nexpaq 0:6c56fb4bc5f0 347 static const mbedtls_mpi_uint secp224k1_n[] = {
nexpaq 0:6c56fb4bc5f0 348 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
nexpaq 0:6c56fb4bc5f0 349 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
nexpaq 0:6c56fb4bc5f0 350 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 351 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 352 };
nexpaq 0:6c56fb4bc5f0 353 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 354
nexpaq 0:6c56fb4bc5f0 355 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 356 static const mbedtls_mpi_uint secp256k1_p[] = {
nexpaq 0:6c56fb4bc5f0 357 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 358 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 359 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 360 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 361 };
nexpaq 0:6c56fb4bc5f0 362 static const mbedtls_mpi_uint secp256k1_a[] = {
nexpaq 0:6c56fb4bc5f0 363 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
nexpaq 0:6c56fb4bc5f0 364 };
nexpaq 0:6c56fb4bc5f0 365 static const mbedtls_mpi_uint secp256k1_b[] = {
nexpaq 0:6c56fb4bc5f0 366 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
nexpaq 0:6c56fb4bc5f0 367 };
nexpaq 0:6c56fb4bc5f0 368 static const mbedtls_mpi_uint secp256k1_gx[] = {
nexpaq 0:6c56fb4bc5f0 369 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
nexpaq 0:6c56fb4bc5f0 370 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
nexpaq 0:6c56fb4bc5f0 371 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
nexpaq 0:6c56fb4bc5f0 372 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
nexpaq 0:6c56fb4bc5f0 373 };
nexpaq 0:6c56fb4bc5f0 374 static const mbedtls_mpi_uint secp256k1_gy[] = {
nexpaq 0:6c56fb4bc5f0 375 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
nexpaq 0:6c56fb4bc5f0 376 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
nexpaq 0:6c56fb4bc5f0 377 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
nexpaq 0:6c56fb4bc5f0 378 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
nexpaq 0:6c56fb4bc5f0 379 };
nexpaq 0:6c56fb4bc5f0 380 static const mbedtls_mpi_uint secp256k1_n[] = {
nexpaq 0:6c56fb4bc5f0 381 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
nexpaq 0:6c56fb4bc5f0 382 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
nexpaq 0:6c56fb4bc5f0 383 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 384 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
nexpaq 0:6c56fb4bc5f0 385 };
nexpaq 0:6c56fb4bc5f0 386 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 387
nexpaq 0:6c56fb4bc5f0 388 /*
nexpaq 0:6c56fb4bc5f0 389 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
nexpaq 0:6c56fb4bc5f0 390 */
nexpaq 0:6c56fb4bc5f0 391 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 392 static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
nexpaq 0:6c56fb4bc5f0 393 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
nexpaq 0:6c56fb4bc5f0 394 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
nexpaq 0:6c56fb4bc5f0 395 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
nexpaq 0:6c56fb4bc5f0 396 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
nexpaq 0:6c56fb4bc5f0 397 };
nexpaq 0:6c56fb4bc5f0 398 static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
nexpaq 0:6c56fb4bc5f0 399 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
nexpaq 0:6c56fb4bc5f0 400 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
nexpaq 0:6c56fb4bc5f0 401 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
nexpaq 0:6c56fb4bc5f0 402 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
nexpaq 0:6c56fb4bc5f0 403 };
nexpaq 0:6c56fb4bc5f0 404 static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
nexpaq 0:6c56fb4bc5f0 405 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
nexpaq 0:6c56fb4bc5f0 406 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
nexpaq 0:6c56fb4bc5f0 407 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
nexpaq 0:6c56fb4bc5f0 408 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
nexpaq 0:6c56fb4bc5f0 409 };
nexpaq 0:6c56fb4bc5f0 410 static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 411 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
nexpaq 0:6c56fb4bc5f0 412 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
nexpaq 0:6c56fb4bc5f0 413 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
nexpaq 0:6c56fb4bc5f0 414 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
nexpaq 0:6c56fb4bc5f0 415 };
nexpaq 0:6c56fb4bc5f0 416 static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 417 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
nexpaq 0:6c56fb4bc5f0 418 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
nexpaq 0:6c56fb4bc5f0 419 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
nexpaq 0:6c56fb4bc5f0 420 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
nexpaq 0:6c56fb4bc5f0 421 };
nexpaq 0:6c56fb4bc5f0 422 static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
nexpaq 0:6c56fb4bc5f0 423 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
nexpaq 0:6c56fb4bc5f0 424 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
nexpaq 0:6c56fb4bc5f0 425 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
nexpaq 0:6c56fb4bc5f0 426 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
nexpaq 0:6c56fb4bc5f0 427 };
nexpaq 0:6c56fb4bc5f0 428 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 429
nexpaq 0:6c56fb4bc5f0 430 /*
nexpaq 0:6c56fb4bc5f0 431 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
nexpaq 0:6c56fb4bc5f0 432 */
nexpaq 0:6c56fb4bc5f0 433 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 434 static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
nexpaq 0:6c56fb4bc5f0 435 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
nexpaq 0:6c56fb4bc5f0 436 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
nexpaq 0:6c56fb4bc5f0 437 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
nexpaq 0:6c56fb4bc5f0 438 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
nexpaq 0:6c56fb4bc5f0 439 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
nexpaq 0:6c56fb4bc5f0 440 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
nexpaq 0:6c56fb4bc5f0 441 };
nexpaq 0:6c56fb4bc5f0 442 static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
nexpaq 0:6c56fb4bc5f0 443 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
nexpaq 0:6c56fb4bc5f0 444 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
nexpaq 0:6c56fb4bc5f0 445 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
nexpaq 0:6c56fb4bc5f0 446 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
nexpaq 0:6c56fb4bc5f0 447 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
nexpaq 0:6c56fb4bc5f0 448 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
nexpaq 0:6c56fb4bc5f0 449 };
nexpaq 0:6c56fb4bc5f0 450 static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
nexpaq 0:6c56fb4bc5f0 451 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
nexpaq 0:6c56fb4bc5f0 452 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
nexpaq 0:6c56fb4bc5f0 453 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
nexpaq 0:6c56fb4bc5f0 454 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
nexpaq 0:6c56fb4bc5f0 455 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
nexpaq 0:6c56fb4bc5f0 456 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
nexpaq 0:6c56fb4bc5f0 457 };
nexpaq 0:6c56fb4bc5f0 458 static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 459 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
nexpaq 0:6c56fb4bc5f0 460 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
nexpaq 0:6c56fb4bc5f0 461 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
nexpaq 0:6c56fb4bc5f0 462 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
nexpaq 0:6c56fb4bc5f0 463 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
nexpaq 0:6c56fb4bc5f0 464 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
nexpaq 0:6c56fb4bc5f0 465 };
nexpaq 0:6c56fb4bc5f0 466 static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 467 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
nexpaq 0:6c56fb4bc5f0 468 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
nexpaq 0:6c56fb4bc5f0 469 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
nexpaq 0:6c56fb4bc5f0 470 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
nexpaq 0:6c56fb4bc5f0 471 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
nexpaq 0:6c56fb4bc5f0 472 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
nexpaq 0:6c56fb4bc5f0 473 };
nexpaq 0:6c56fb4bc5f0 474 static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
nexpaq 0:6c56fb4bc5f0 475 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
nexpaq 0:6c56fb4bc5f0 476 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
nexpaq 0:6c56fb4bc5f0 477 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
nexpaq 0:6c56fb4bc5f0 478 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
nexpaq 0:6c56fb4bc5f0 479 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
nexpaq 0:6c56fb4bc5f0 480 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
nexpaq 0:6c56fb4bc5f0 481 };
nexpaq 0:6c56fb4bc5f0 482 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 483
nexpaq 0:6c56fb4bc5f0 484 /*
nexpaq 0:6c56fb4bc5f0 485 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
nexpaq 0:6c56fb4bc5f0 486 */
nexpaq 0:6c56fb4bc5f0 487 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 488 static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
nexpaq 0:6c56fb4bc5f0 489 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
nexpaq 0:6c56fb4bc5f0 490 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
nexpaq 0:6c56fb4bc5f0 491 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
nexpaq 0:6c56fb4bc5f0 492 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
nexpaq 0:6c56fb4bc5f0 493 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
nexpaq 0:6c56fb4bc5f0 494 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
nexpaq 0:6c56fb4bc5f0 495 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
nexpaq 0:6c56fb4bc5f0 496 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
nexpaq 0:6c56fb4bc5f0 497 };
nexpaq 0:6c56fb4bc5f0 498 static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
nexpaq 0:6c56fb4bc5f0 499 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
nexpaq 0:6c56fb4bc5f0 500 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
nexpaq 0:6c56fb4bc5f0 501 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
nexpaq 0:6c56fb4bc5f0 502 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
nexpaq 0:6c56fb4bc5f0 503 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
nexpaq 0:6c56fb4bc5f0 504 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
nexpaq 0:6c56fb4bc5f0 505 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
nexpaq 0:6c56fb4bc5f0 506 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
nexpaq 0:6c56fb4bc5f0 507 };
nexpaq 0:6c56fb4bc5f0 508 static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
nexpaq 0:6c56fb4bc5f0 509 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
nexpaq 0:6c56fb4bc5f0 510 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
nexpaq 0:6c56fb4bc5f0 511 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
nexpaq 0:6c56fb4bc5f0 512 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
nexpaq 0:6c56fb4bc5f0 513 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
nexpaq 0:6c56fb4bc5f0 514 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
nexpaq 0:6c56fb4bc5f0 515 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
nexpaq 0:6c56fb4bc5f0 516 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
nexpaq 0:6c56fb4bc5f0 517 };
nexpaq 0:6c56fb4bc5f0 518 static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
nexpaq 0:6c56fb4bc5f0 519 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
nexpaq 0:6c56fb4bc5f0 520 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
nexpaq 0:6c56fb4bc5f0 521 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
nexpaq 0:6c56fb4bc5f0 522 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
nexpaq 0:6c56fb4bc5f0 523 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
nexpaq 0:6c56fb4bc5f0 524 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
nexpaq 0:6c56fb4bc5f0 525 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
nexpaq 0:6c56fb4bc5f0 526 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
nexpaq 0:6c56fb4bc5f0 527 };
nexpaq 0:6c56fb4bc5f0 528 static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
nexpaq 0:6c56fb4bc5f0 529 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
nexpaq 0:6c56fb4bc5f0 530 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
nexpaq 0:6c56fb4bc5f0 531 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
nexpaq 0:6c56fb4bc5f0 532 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
nexpaq 0:6c56fb4bc5f0 533 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
nexpaq 0:6c56fb4bc5f0 534 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
nexpaq 0:6c56fb4bc5f0 535 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
nexpaq 0:6c56fb4bc5f0 536 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
nexpaq 0:6c56fb4bc5f0 537 };
nexpaq 0:6c56fb4bc5f0 538 static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
nexpaq 0:6c56fb4bc5f0 539 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
nexpaq 0:6c56fb4bc5f0 540 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
nexpaq 0:6c56fb4bc5f0 541 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
nexpaq 0:6c56fb4bc5f0 542 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
nexpaq 0:6c56fb4bc5f0 543 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
nexpaq 0:6c56fb4bc5f0 544 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
nexpaq 0:6c56fb4bc5f0 545 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
nexpaq 0:6c56fb4bc5f0 546 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
nexpaq 0:6c56fb4bc5f0 547 };
nexpaq 0:6c56fb4bc5f0 548 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 549
nexpaq 0:6c56fb4bc5f0 550 /*
nexpaq 0:6c56fb4bc5f0 551 * Create an MPI from embedded constants
nexpaq 0:6c56fb4bc5f0 552 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
nexpaq 0:6c56fb4bc5f0 553 */
nexpaq 0:6c56fb4bc5f0 554 static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
nexpaq 0:6c56fb4bc5f0 555 {
nexpaq 0:6c56fb4bc5f0 556 X->s = 1;
nexpaq 0:6c56fb4bc5f0 557 X->n = len / sizeof( mbedtls_mpi_uint );
nexpaq 0:6c56fb4bc5f0 558 X->p = (mbedtls_mpi_uint *) p;
nexpaq 0:6c56fb4bc5f0 559 }
nexpaq 0:6c56fb4bc5f0 560
nexpaq 0:6c56fb4bc5f0 561 /*
nexpaq 0:6c56fb4bc5f0 562 * Set an MPI to static value 1
nexpaq 0:6c56fb4bc5f0 563 */
nexpaq 0:6c56fb4bc5f0 564 static inline void ecp_mpi_set1( mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 565 {
nexpaq 0:6c56fb4bc5f0 566 static mbedtls_mpi_uint one[] = { 1 };
nexpaq 0:6c56fb4bc5f0 567 X->s = 1;
nexpaq 0:6c56fb4bc5f0 568 X->n = 1;
nexpaq 0:6c56fb4bc5f0 569 X->p = one;
nexpaq 0:6c56fb4bc5f0 570 }
nexpaq 0:6c56fb4bc5f0 571
nexpaq 0:6c56fb4bc5f0 572 /*
nexpaq 0:6c56fb4bc5f0 573 * Make group available from embedded constants
nexpaq 0:6c56fb4bc5f0 574 */
nexpaq 0:6c56fb4bc5f0 575 static int ecp_group_load( mbedtls_ecp_group *grp,
nexpaq 0:6c56fb4bc5f0 576 const mbedtls_mpi_uint *p, size_t plen,
nexpaq 0:6c56fb4bc5f0 577 const mbedtls_mpi_uint *a, size_t alen,
nexpaq 0:6c56fb4bc5f0 578 const mbedtls_mpi_uint *b, size_t blen,
nexpaq 0:6c56fb4bc5f0 579 const mbedtls_mpi_uint *gx, size_t gxlen,
nexpaq 0:6c56fb4bc5f0 580 const mbedtls_mpi_uint *gy, size_t gylen,
nexpaq 0:6c56fb4bc5f0 581 const mbedtls_mpi_uint *n, size_t nlen)
nexpaq 0:6c56fb4bc5f0 582 {
nexpaq 0:6c56fb4bc5f0 583 ecp_mpi_load( &grp->P, p, plen );
nexpaq 0:6c56fb4bc5f0 584 if( a != NULL )
nexpaq 0:6c56fb4bc5f0 585 ecp_mpi_load( &grp->A, a, alen );
nexpaq 0:6c56fb4bc5f0 586 ecp_mpi_load( &grp->B, b, blen );
nexpaq 0:6c56fb4bc5f0 587 ecp_mpi_load( &grp->N, n, nlen );
nexpaq 0:6c56fb4bc5f0 588
nexpaq 0:6c56fb4bc5f0 589 ecp_mpi_load( &grp->G.X, gx, gxlen );
nexpaq 0:6c56fb4bc5f0 590 ecp_mpi_load( &grp->G.Y, gy, gylen );
nexpaq 0:6c56fb4bc5f0 591 ecp_mpi_set1( &grp->G.Z );
nexpaq 0:6c56fb4bc5f0 592
nexpaq 0:6c56fb4bc5f0 593 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
nexpaq 0:6c56fb4bc5f0 594 grp->nbits = mbedtls_mpi_bitlen( &grp->N );
nexpaq 0:6c56fb4bc5f0 595
nexpaq 0:6c56fb4bc5f0 596 grp->h = 1;
nexpaq 0:6c56fb4bc5f0 597
nexpaq 0:6c56fb4bc5f0 598 return( 0 );
nexpaq 0:6c56fb4bc5f0 599 }
nexpaq 0:6c56fb4bc5f0 600
nexpaq 0:6c56fb4bc5f0 601 #if defined(MBEDTLS_ECP_NIST_OPTIM)
nexpaq 0:6c56fb4bc5f0 602 /* Forward declarations */
nexpaq 0:6c56fb4bc5f0 603 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 604 static int ecp_mod_p192( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 605 #endif
nexpaq 0:6c56fb4bc5f0 606 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 607 static int ecp_mod_p224( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 608 #endif
nexpaq 0:6c56fb4bc5f0 609 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 610 static int ecp_mod_p256( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 611 #endif
nexpaq 0:6c56fb4bc5f0 612 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 613 static int ecp_mod_p384( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 614 #endif
nexpaq 0:6c56fb4bc5f0 615 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 616 static int ecp_mod_p521( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 617 #endif
nexpaq 0:6c56fb4bc5f0 618
nexpaq 0:6c56fb4bc5f0 619 #define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
nexpaq 0:6c56fb4bc5f0 620 #else
nexpaq 0:6c56fb4bc5f0 621 #define NIST_MODP( P )
nexpaq 0:6c56fb4bc5f0 622 #endif /* MBEDTLS_ECP_NIST_OPTIM */
nexpaq 0:6c56fb4bc5f0 623
nexpaq 0:6c56fb4bc5f0 624 /* Additional forward declarations */
nexpaq 0:6c56fb4bc5f0 625 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
nexpaq 0:6c56fb4bc5f0 626 static int ecp_mod_p255( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 627 #endif
nexpaq 0:6c56fb4bc5f0 628 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 629 static int ecp_mod_p192k1( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 630 #endif
nexpaq 0:6c56fb4bc5f0 631 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 632 static int ecp_mod_p224k1( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 633 #endif
nexpaq 0:6c56fb4bc5f0 634 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 635 static int ecp_mod_p256k1( mbedtls_mpi * );
nexpaq 0:6c56fb4bc5f0 636 #endif
nexpaq 0:6c56fb4bc5f0 637
nexpaq 0:6c56fb4bc5f0 638 #define LOAD_GROUP_A( G ) ecp_group_load( grp, \
nexpaq 0:6c56fb4bc5f0 639 G ## _p, sizeof( G ## _p ), \
nexpaq 0:6c56fb4bc5f0 640 G ## _a, sizeof( G ## _a ), \
nexpaq 0:6c56fb4bc5f0 641 G ## _b, sizeof( G ## _b ), \
nexpaq 0:6c56fb4bc5f0 642 G ## _gx, sizeof( G ## _gx ), \
nexpaq 0:6c56fb4bc5f0 643 G ## _gy, sizeof( G ## _gy ), \
nexpaq 0:6c56fb4bc5f0 644 G ## _n, sizeof( G ## _n ) )
nexpaq 0:6c56fb4bc5f0 645
nexpaq 0:6c56fb4bc5f0 646 #define LOAD_GROUP( G ) ecp_group_load( grp, \
nexpaq 0:6c56fb4bc5f0 647 G ## _p, sizeof( G ## _p ), \
nexpaq 0:6c56fb4bc5f0 648 NULL, 0, \
nexpaq 0:6c56fb4bc5f0 649 G ## _b, sizeof( G ## _b ), \
nexpaq 0:6c56fb4bc5f0 650 G ## _gx, sizeof( G ## _gx ), \
nexpaq 0:6c56fb4bc5f0 651 G ## _gy, sizeof( G ## _gy ), \
nexpaq 0:6c56fb4bc5f0 652 G ## _n, sizeof( G ## _n ) )
nexpaq 0:6c56fb4bc5f0 653
nexpaq 0:6c56fb4bc5f0 654 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
nexpaq 0:6c56fb4bc5f0 655 /*
nexpaq 0:6c56fb4bc5f0 656 * Specialized function for creating the Curve25519 group
nexpaq 0:6c56fb4bc5f0 657 */
nexpaq 0:6c56fb4bc5f0 658 static int ecp_use_curve25519( mbedtls_ecp_group *grp )
nexpaq 0:6c56fb4bc5f0 659 {
nexpaq 0:6c56fb4bc5f0 660 int ret;
nexpaq 0:6c56fb4bc5f0 661
nexpaq 0:6c56fb4bc5f0 662 /* Actually ( A + 2 ) / 4 */
nexpaq 0:6c56fb4bc5f0 663 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
nexpaq 0:6c56fb4bc5f0 664
nexpaq 0:6c56fb4bc5f0 665 /* P = 2^255 - 19 */
nexpaq 0:6c56fb4bc5f0 666 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
nexpaq 0:6c56fb4bc5f0 667 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
nexpaq 0:6c56fb4bc5f0 668 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
nexpaq 0:6c56fb4bc5f0 669 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
nexpaq 0:6c56fb4bc5f0 670
nexpaq 0:6c56fb4bc5f0 671 /* Y intentionaly not set, since we use x/z coordinates.
nexpaq 0:6c56fb4bc5f0 672 * This is used as a marker to identify Montgomery curves! */
nexpaq 0:6c56fb4bc5f0 673 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
nexpaq 0:6c56fb4bc5f0 674 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
nexpaq 0:6c56fb4bc5f0 675 mbedtls_mpi_free( &grp->G.Y );
nexpaq 0:6c56fb4bc5f0 676
nexpaq 0:6c56fb4bc5f0 677 /* Actually, the required msb for private keys */
nexpaq 0:6c56fb4bc5f0 678 grp->nbits = 254;
nexpaq 0:6c56fb4bc5f0 679
nexpaq 0:6c56fb4bc5f0 680 cleanup:
nexpaq 0:6c56fb4bc5f0 681 if( ret != 0 )
nexpaq 0:6c56fb4bc5f0 682 mbedtls_ecp_group_free( grp );
nexpaq 0:6c56fb4bc5f0 683
nexpaq 0:6c56fb4bc5f0 684 return( ret );
nexpaq 0:6c56fb4bc5f0 685 }
nexpaq 0:6c56fb4bc5f0 686 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
nexpaq 0:6c56fb4bc5f0 687
nexpaq 0:6c56fb4bc5f0 688 /*
nexpaq 0:6c56fb4bc5f0 689 * Set a group using well-known domain parameters
nexpaq 0:6c56fb4bc5f0 690 */
nexpaq 0:6c56fb4bc5f0 691 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
nexpaq 0:6c56fb4bc5f0 692 {
nexpaq 0:6c56fb4bc5f0 693 mbedtls_ecp_group_free( grp );
nexpaq 0:6c56fb4bc5f0 694
nexpaq 0:6c56fb4bc5f0 695 grp->id = id;
nexpaq 0:6c56fb4bc5f0 696
nexpaq 0:6c56fb4bc5f0 697 switch( id )
nexpaq 0:6c56fb4bc5f0 698 {
nexpaq 0:6c56fb4bc5f0 699 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 700 case MBEDTLS_ECP_DP_SECP192R1:
nexpaq 0:6c56fb4bc5f0 701 NIST_MODP( p192 );
nexpaq 0:6c56fb4bc5f0 702 return( LOAD_GROUP( secp192r1 ) );
nexpaq 0:6c56fb4bc5f0 703 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 704
nexpaq 0:6c56fb4bc5f0 705 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 706 case MBEDTLS_ECP_DP_SECP224R1:
nexpaq 0:6c56fb4bc5f0 707 NIST_MODP( p224 );
nexpaq 0:6c56fb4bc5f0 708 return( LOAD_GROUP( secp224r1 ) );
nexpaq 0:6c56fb4bc5f0 709 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 710
nexpaq 0:6c56fb4bc5f0 711 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 712 case MBEDTLS_ECP_DP_SECP256R1:
nexpaq 0:6c56fb4bc5f0 713 NIST_MODP( p256 );
nexpaq 0:6c56fb4bc5f0 714 return( LOAD_GROUP( secp256r1 ) );
nexpaq 0:6c56fb4bc5f0 715 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 716
nexpaq 0:6c56fb4bc5f0 717 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 718 case MBEDTLS_ECP_DP_SECP384R1:
nexpaq 0:6c56fb4bc5f0 719 NIST_MODP( p384 );
nexpaq 0:6c56fb4bc5f0 720 return( LOAD_GROUP( secp384r1 ) );
nexpaq 0:6c56fb4bc5f0 721 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 722
nexpaq 0:6c56fb4bc5f0 723 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 724 case MBEDTLS_ECP_DP_SECP521R1:
nexpaq 0:6c56fb4bc5f0 725 NIST_MODP( p521 );
nexpaq 0:6c56fb4bc5f0 726 return( LOAD_GROUP( secp521r1 ) );
nexpaq 0:6c56fb4bc5f0 727 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 728
nexpaq 0:6c56fb4bc5f0 729 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 730 case MBEDTLS_ECP_DP_SECP192K1:
nexpaq 0:6c56fb4bc5f0 731 grp->modp = ecp_mod_p192k1;
nexpaq 0:6c56fb4bc5f0 732 return( LOAD_GROUP_A( secp192k1 ) );
nexpaq 0:6c56fb4bc5f0 733 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 734
nexpaq 0:6c56fb4bc5f0 735 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 736 case MBEDTLS_ECP_DP_SECP224K1:
nexpaq 0:6c56fb4bc5f0 737 grp->modp = ecp_mod_p224k1;
nexpaq 0:6c56fb4bc5f0 738 return( LOAD_GROUP_A( secp224k1 ) );
nexpaq 0:6c56fb4bc5f0 739 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 740
nexpaq 0:6c56fb4bc5f0 741 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 742 case MBEDTLS_ECP_DP_SECP256K1:
nexpaq 0:6c56fb4bc5f0 743 grp->modp = ecp_mod_p256k1;
nexpaq 0:6c56fb4bc5f0 744 return( LOAD_GROUP_A( secp256k1 ) );
nexpaq 0:6c56fb4bc5f0 745 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 746
nexpaq 0:6c56fb4bc5f0 747 #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 748 case MBEDTLS_ECP_DP_BP256R1:
nexpaq 0:6c56fb4bc5f0 749 return( LOAD_GROUP_A( brainpoolP256r1 ) );
nexpaq 0:6c56fb4bc5f0 750 #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 751
nexpaq 0:6c56fb4bc5f0 752 #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 753 case MBEDTLS_ECP_DP_BP384R1:
nexpaq 0:6c56fb4bc5f0 754 return( LOAD_GROUP_A( brainpoolP384r1 ) );
nexpaq 0:6c56fb4bc5f0 755 #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 756
nexpaq 0:6c56fb4bc5f0 757 #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 758 case MBEDTLS_ECP_DP_BP512R1:
nexpaq 0:6c56fb4bc5f0 759 return( LOAD_GROUP_A( brainpoolP512r1 ) );
nexpaq 0:6c56fb4bc5f0 760 #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 761
nexpaq 0:6c56fb4bc5f0 762 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
nexpaq 0:6c56fb4bc5f0 763 case MBEDTLS_ECP_DP_CURVE25519:
nexpaq 0:6c56fb4bc5f0 764 grp->modp = ecp_mod_p255;
nexpaq 0:6c56fb4bc5f0 765 return( ecp_use_curve25519( grp ) );
nexpaq 0:6c56fb4bc5f0 766 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
nexpaq 0:6c56fb4bc5f0 767
nexpaq 0:6c56fb4bc5f0 768 default:
nexpaq 0:6c56fb4bc5f0 769 mbedtls_ecp_group_free( grp );
nexpaq 0:6c56fb4bc5f0 770 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
nexpaq 0:6c56fb4bc5f0 771 }
nexpaq 0:6c56fb4bc5f0 772 }
nexpaq 0:6c56fb4bc5f0 773
nexpaq 0:6c56fb4bc5f0 774 #if defined(MBEDTLS_ECP_NIST_OPTIM)
nexpaq 0:6c56fb4bc5f0 775 /*
nexpaq 0:6c56fb4bc5f0 776 * Fast reduction modulo the primes used by the NIST curves.
nexpaq 0:6c56fb4bc5f0 777 *
nexpaq 0:6c56fb4bc5f0 778 * These functions are critical for speed, but not needed for correct
nexpaq 0:6c56fb4bc5f0 779 * operations. So, we make the choice to heavily rely on the internals of our
nexpaq 0:6c56fb4bc5f0 780 * bignum library, which creates a tight coupling between these functions and
nexpaq 0:6c56fb4bc5f0 781 * our MPI implementation. However, the coupling between the ECP module and
nexpaq 0:6c56fb4bc5f0 782 * MPI remains loose, since these functions can be deactivated at will.
nexpaq 0:6c56fb4bc5f0 783 */
nexpaq 0:6c56fb4bc5f0 784
nexpaq 0:6c56fb4bc5f0 785 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 786 /*
nexpaq 0:6c56fb4bc5f0 787 * Compared to the way things are presented in FIPS 186-3 D.2,
nexpaq 0:6c56fb4bc5f0 788 * we proceed in columns, from right (least significant chunk) to left,
nexpaq 0:6c56fb4bc5f0 789 * adding chunks to N in place, and keeping a carry for the next chunk.
nexpaq 0:6c56fb4bc5f0 790 * This avoids moving things around in memory, and uselessly adding zeros,
nexpaq 0:6c56fb4bc5f0 791 * compared to the more straightforward, line-oriented approach.
nexpaq 0:6c56fb4bc5f0 792 *
nexpaq 0:6c56fb4bc5f0 793 * For this prime we need to handle data in chunks of 64 bits.
nexpaq 0:6c56fb4bc5f0 794 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
nexpaq 0:6c56fb4bc5f0 795 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
nexpaq 0:6c56fb4bc5f0 796 */
nexpaq 0:6c56fb4bc5f0 797
nexpaq 0:6c56fb4bc5f0 798 /* Add 64-bit chunks (dst += src) and update carry */
nexpaq 0:6c56fb4bc5f0 799 static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
nexpaq 0:6c56fb4bc5f0 800 {
nexpaq 0:6c56fb4bc5f0 801 unsigned char i;
nexpaq 0:6c56fb4bc5f0 802 mbedtls_mpi_uint c = 0;
nexpaq 0:6c56fb4bc5f0 803 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
nexpaq 0:6c56fb4bc5f0 804 {
nexpaq 0:6c56fb4bc5f0 805 *dst += c; c = ( *dst < c );
nexpaq 0:6c56fb4bc5f0 806 *dst += *src; c += ( *dst < *src );
nexpaq 0:6c56fb4bc5f0 807 }
nexpaq 0:6c56fb4bc5f0 808 *carry += c;
nexpaq 0:6c56fb4bc5f0 809 }
nexpaq 0:6c56fb4bc5f0 810
nexpaq 0:6c56fb4bc5f0 811 /* Add carry to a 64-bit chunk and update carry */
nexpaq 0:6c56fb4bc5f0 812 static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
nexpaq 0:6c56fb4bc5f0 813 {
nexpaq 0:6c56fb4bc5f0 814 unsigned char i;
nexpaq 0:6c56fb4bc5f0 815 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
nexpaq 0:6c56fb4bc5f0 816 {
nexpaq 0:6c56fb4bc5f0 817 *dst += *carry;
nexpaq 0:6c56fb4bc5f0 818 *carry = ( *dst < *carry );
nexpaq 0:6c56fb4bc5f0 819 }
nexpaq 0:6c56fb4bc5f0 820 }
nexpaq 0:6c56fb4bc5f0 821
nexpaq 0:6c56fb4bc5f0 822 #define WIDTH 8 / sizeof( mbedtls_mpi_uint )
nexpaq 0:6c56fb4bc5f0 823 #define A( i ) N->p + i * WIDTH
nexpaq 0:6c56fb4bc5f0 824 #define ADD( i ) add64( p, A( i ), &c )
nexpaq 0:6c56fb4bc5f0 825 #define NEXT p += WIDTH; carry64( p, &c )
nexpaq 0:6c56fb4bc5f0 826 #define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
nexpaq 0:6c56fb4bc5f0 827
nexpaq 0:6c56fb4bc5f0 828 /*
nexpaq 0:6c56fb4bc5f0 829 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
nexpaq 0:6c56fb4bc5f0 830 */
nexpaq 0:6c56fb4bc5f0 831 static int ecp_mod_p192( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 832 {
nexpaq 0:6c56fb4bc5f0 833 int ret;
nexpaq 0:6c56fb4bc5f0 834 mbedtls_mpi_uint c = 0;
nexpaq 0:6c56fb4bc5f0 835 mbedtls_mpi_uint *p, *end;
nexpaq 0:6c56fb4bc5f0 836
nexpaq 0:6c56fb4bc5f0 837 /* Make sure we have enough blocks so that A(5) is legal */
nexpaq 0:6c56fb4bc5f0 838 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
nexpaq 0:6c56fb4bc5f0 839
nexpaq 0:6c56fb4bc5f0 840 p = N->p;
nexpaq 0:6c56fb4bc5f0 841 end = p + N->n;
nexpaq 0:6c56fb4bc5f0 842
nexpaq 0:6c56fb4bc5f0 843 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
nexpaq 0:6c56fb4bc5f0 844 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
nexpaq 0:6c56fb4bc5f0 845 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
nexpaq 0:6c56fb4bc5f0 846
nexpaq 0:6c56fb4bc5f0 847 cleanup:
nexpaq 0:6c56fb4bc5f0 848 return( ret );
nexpaq 0:6c56fb4bc5f0 849 }
nexpaq 0:6c56fb4bc5f0 850
nexpaq 0:6c56fb4bc5f0 851 #undef WIDTH
nexpaq 0:6c56fb4bc5f0 852 #undef A
nexpaq 0:6c56fb4bc5f0 853 #undef ADD
nexpaq 0:6c56fb4bc5f0 854 #undef NEXT
nexpaq 0:6c56fb4bc5f0 855 #undef LAST
nexpaq 0:6c56fb4bc5f0 856 #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 857
nexpaq 0:6c56fb4bc5f0 858 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
nexpaq 0:6c56fb4bc5f0 859 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
nexpaq 0:6c56fb4bc5f0 860 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 861 /*
nexpaq 0:6c56fb4bc5f0 862 * The reader is advised to first understand ecp_mod_p192() since the same
nexpaq 0:6c56fb4bc5f0 863 * general structure is used here, but with additional complications:
nexpaq 0:6c56fb4bc5f0 864 * (1) chunks of 32 bits, and (2) subtractions.
nexpaq 0:6c56fb4bc5f0 865 */
nexpaq 0:6c56fb4bc5f0 866
nexpaq 0:6c56fb4bc5f0 867 /*
nexpaq 0:6c56fb4bc5f0 868 * For these primes, we need to handle data in chunks of 32 bits.
nexpaq 0:6c56fb4bc5f0 869 * This makes it more complicated if we use 64 bits limbs in MPI,
nexpaq 0:6c56fb4bc5f0 870 * which prevents us from using a uniform access method as for p192.
nexpaq 0:6c56fb4bc5f0 871 *
nexpaq 0:6c56fb4bc5f0 872 * So, we define a mini abstraction layer to access 32 bit chunks,
nexpaq 0:6c56fb4bc5f0 873 * load them in 'cur' for work, and store them back from 'cur' when done.
nexpaq 0:6c56fb4bc5f0 874 *
nexpaq 0:6c56fb4bc5f0 875 * While at it, also define the size of N in terms of 32-bit chunks.
nexpaq 0:6c56fb4bc5f0 876 */
nexpaq 0:6c56fb4bc5f0 877 #define LOAD32 cur = A( i );
nexpaq 0:6c56fb4bc5f0 878
nexpaq 0:6c56fb4bc5f0 879 #if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
nexpaq 0:6c56fb4bc5f0 880
nexpaq 0:6c56fb4bc5f0 881 #define MAX32 N->n
nexpaq 0:6c56fb4bc5f0 882 #define A( j ) N->p[j]
nexpaq 0:6c56fb4bc5f0 883 #define STORE32 N->p[i] = cur;
nexpaq 0:6c56fb4bc5f0 884
nexpaq 0:6c56fb4bc5f0 885 #else /* 64-bit */
nexpaq 0:6c56fb4bc5f0 886
nexpaq 0:6c56fb4bc5f0 887 #define MAX32 N->n * 2
nexpaq 0:6c56fb4bc5f0 888 #define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
nexpaq 0:6c56fb4bc5f0 889 #define STORE32 \
nexpaq 0:6c56fb4bc5f0 890 if( i % 2 ) { \
nexpaq 0:6c56fb4bc5f0 891 N->p[i/2] &= 0x00000000FFFFFFFF; \
nexpaq 0:6c56fb4bc5f0 892 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
nexpaq 0:6c56fb4bc5f0 893 } else { \
nexpaq 0:6c56fb4bc5f0 894 N->p[i/2] &= 0xFFFFFFFF00000000; \
nexpaq 0:6c56fb4bc5f0 895 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
nexpaq 0:6c56fb4bc5f0 896 }
nexpaq 0:6c56fb4bc5f0 897
nexpaq 0:6c56fb4bc5f0 898 #endif /* sizeof( mbedtls_mpi_uint ) */
nexpaq 0:6c56fb4bc5f0 899
nexpaq 0:6c56fb4bc5f0 900 /*
nexpaq 0:6c56fb4bc5f0 901 * Helpers for addition and subtraction of chunks, with signed carry.
nexpaq 0:6c56fb4bc5f0 902 */
nexpaq 0:6c56fb4bc5f0 903 static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
nexpaq 0:6c56fb4bc5f0 904 {
nexpaq 0:6c56fb4bc5f0 905 *dst += src;
nexpaq 0:6c56fb4bc5f0 906 *carry += ( *dst < src );
nexpaq 0:6c56fb4bc5f0 907 }
nexpaq 0:6c56fb4bc5f0 908
nexpaq 0:6c56fb4bc5f0 909 static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
nexpaq 0:6c56fb4bc5f0 910 {
nexpaq 0:6c56fb4bc5f0 911 *carry -= ( *dst < src );
nexpaq 0:6c56fb4bc5f0 912 *dst -= src;
nexpaq 0:6c56fb4bc5f0 913 }
nexpaq 0:6c56fb4bc5f0 914
nexpaq 0:6c56fb4bc5f0 915 #define ADD( j ) add32( &cur, A( j ), &c );
nexpaq 0:6c56fb4bc5f0 916 #define SUB( j ) sub32( &cur, A( j ), &c );
nexpaq 0:6c56fb4bc5f0 917
nexpaq 0:6c56fb4bc5f0 918 /*
nexpaq 0:6c56fb4bc5f0 919 * Helpers for the main 'loop'
nexpaq 0:6c56fb4bc5f0 920 * (see fix_negative for the motivation of C)
nexpaq 0:6c56fb4bc5f0 921 */
nexpaq 0:6c56fb4bc5f0 922 #define INIT( b ) \
nexpaq 0:6c56fb4bc5f0 923 int ret; \
nexpaq 0:6c56fb4bc5f0 924 signed char c = 0, cc; \
nexpaq 0:6c56fb4bc5f0 925 uint32_t cur; \
nexpaq 0:6c56fb4bc5f0 926 size_t i = 0, bits = b; \
nexpaq 0:6c56fb4bc5f0 927 mbedtls_mpi C; \
nexpaq 0:6c56fb4bc5f0 928 mbedtls_mpi_uint Cp[ b / 8 / sizeof( mbedtls_mpi_uint) + 1 ]; \
nexpaq 0:6c56fb4bc5f0 929 \
nexpaq 0:6c56fb4bc5f0 930 C.s = 1; \
nexpaq 0:6c56fb4bc5f0 931 C.n = b / 8 / sizeof( mbedtls_mpi_uint) + 1; \
nexpaq 0:6c56fb4bc5f0 932 C.p = Cp; \
nexpaq 0:6c56fb4bc5f0 933 memset( Cp, 0, C.n * sizeof( mbedtls_mpi_uint ) ); \
nexpaq 0:6c56fb4bc5f0 934 \
nexpaq 0:6c56fb4bc5f0 935 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, b * 2 / 8 / sizeof( mbedtls_mpi_uint ) ) ); \
nexpaq 0:6c56fb4bc5f0 936 LOAD32;
nexpaq 0:6c56fb4bc5f0 937
nexpaq 0:6c56fb4bc5f0 938 #define NEXT \
nexpaq 0:6c56fb4bc5f0 939 STORE32; i++; LOAD32; \
nexpaq 0:6c56fb4bc5f0 940 cc = c; c = 0; \
nexpaq 0:6c56fb4bc5f0 941 if( cc < 0 ) \
nexpaq 0:6c56fb4bc5f0 942 sub32( &cur, -cc, &c ); \
nexpaq 0:6c56fb4bc5f0 943 else \
nexpaq 0:6c56fb4bc5f0 944 add32( &cur, cc, &c ); \
nexpaq 0:6c56fb4bc5f0 945
nexpaq 0:6c56fb4bc5f0 946 #define LAST \
nexpaq 0:6c56fb4bc5f0 947 STORE32; i++; \
nexpaq 0:6c56fb4bc5f0 948 cur = c > 0 ? c : 0; STORE32; \
nexpaq 0:6c56fb4bc5f0 949 cur = 0; while( ++i < MAX32 ) { STORE32; } \
nexpaq 0:6c56fb4bc5f0 950 if( c < 0 ) fix_negative( N, c, &C, bits );
nexpaq 0:6c56fb4bc5f0 951
nexpaq 0:6c56fb4bc5f0 952 /*
nexpaq 0:6c56fb4bc5f0 953 * If the result is negative, we get it in the form
nexpaq 0:6c56fb4bc5f0 954 * c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
nexpaq 0:6c56fb4bc5f0 955 */
nexpaq 0:6c56fb4bc5f0 956 static inline int fix_negative( mbedtls_mpi *N, signed char c, mbedtls_mpi *C, size_t bits )
nexpaq 0:6c56fb4bc5f0 957 {
nexpaq 0:6c56fb4bc5f0 958 int ret;
nexpaq 0:6c56fb4bc5f0 959
nexpaq 0:6c56fb4bc5f0 960 /* C = - c * 2^(bits + 32) */
nexpaq 0:6c56fb4bc5f0 961 #if !defined(MBEDTLS_HAVE_INT64)
nexpaq 0:6c56fb4bc5f0 962 ((void) bits);
nexpaq 0:6c56fb4bc5f0 963 #else
nexpaq 0:6c56fb4bc5f0 964 if( bits == 224 )
nexpaq 0:6c56fb4bc5f0 965 C->p[ C->n - 1 ] = ((mbedtls_mpi_uint) -c) << 32;
nexpaq 0:6c56fb4bc5f0 966 else
nexpaq 0:6c56fb4bc5f0 967 #endif
nexpaq 0:6c56fb4bc5f0 968 C->p[ C->n - 1 ] = (mbedtls_mpi_uint) -c;
nexpaq 0:6c56fb4bc5f0 969
nexpaq 0:6c56fb4bc5f0 970 /* N = - ( C - N ) */
nexpaq 0:6c56fb4bc5f0 971 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( N, C, N ) );
nexpaq 0:6c56fb4bc5f0 972 N->s = -1;
nexpaq 0:6c56fb4bc5f0 973
nexpaq 0:6c56fb4bc5f0 974 cleanup:
nexpaq 0:6c56fb4bc5f0 975
nexpaq 0:6c56fb4bc5f0 976 return( ret );
nexpaq 0:6c56fb4bc5f0 977 }
nexpaq 0:6c56fb4bc5f0 978
nexpaq 0:6c56fb4bc5f0 979 #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 980 /*
nexpaq 0:6c56fb4bc5f0 981 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
nexpaq 0:6c56fb4bc5f0 982 */
nexpaq 0:6c56fb4bc5f0 983 static int ecp_mod_p224( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 984 {
nexpaq 0:6c56fb4bc5f0 985 INIT( 224 );
nexpaq 0:6c56fb4bc5f0 986
nexpaq 0:6c56fb4bc5f0 987 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
nexpaq 0:6c56fb4bc5f0 988 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
nexpaq 0:6c56fb4bc5f0 989 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
nexpaq 0:6c56fb4bc5f0 990 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
nexpaq 0:6c56fb4bc5f0 991 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
nexpaq 0:6c56fb4bc5f0 992 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
nexpaq 0:6c56fb4bc5f0 993 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
nexpaq 0:6c56fb4bc5f0 994
nexpaq 0:6c56fb4bc5f0 995 cleanup:
nexpaq 0:6c56fb4bc5f0 996 return( ret );
nexpaq 0:6c56fb4bc5f0 997 }
nexpaq 0:6c56fb4bc5f0 998 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 999
nexpaq 0:6c56fb4bc5f0 1000 #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1001 /*
nexpaq 0:6c56fb4bc5f0 1002 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
nexpaq 0:6c56fb4bc5f0 1003 */
nexpaq 0:6c56fb4bc5f0 1004 static int ecp_mod_p256( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1005 {
nexpaq 0:6c56fb4bc5f0 1006 INIT( 256 );
nexpaq 0:6c56fb4bc5f0 1007
nexpaq 0:6c56fb4bc5f0 1008 ADD( 8 ); ADD( 9 );
nexpaq 0:6c56fb4bc5f0 1009 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
nexpaq 0:6c56fb4bc5f0 1010
nexpaq 0:6c56fb4bc5f0 1011 ADD( 9 ); ADD( 10 );
nexpaq 0:6c56fb4bc5f0 1012 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
nexpaq 0:6c56fb4bc5f0 1013
nexpaq 0:6c56fb4bc5f0 1014 ADD( 10 ); ADD( 11 );
nexpaq 0:6c56fb4bc5f0 1015 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
nexpaq 0:6c56fb4bc5f0 1016
nexpaq 0:6c56fb4bc5f0 1017 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
nexpaq 0:6c56fb4bc5f0 1018 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
nexpaq 0:6c56fb4bc5f0 1019
nexpaq 0:6c56fb4bc5f0 1020 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
nexpaq 0:6c56fb4bc5f0 1021 SUB( 9 ); SUB( 10 ); NEXT; // A4
nexpaq 0:6c56fb4bc5f0 1022
nexpaq 0:6c56fb4bc5f0 1023 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
nexpaq 0:6c56fb4bc5f0 1024 SUB( 10 ); SUB( 11 ); NEXT; // A5
nexpaq 0:6c56fb4bc5f0 1025
nexpaq 0:6c56fb4bc5f0 1026 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
nexpaq 0:6c56fb4bc5f0 1027 SUB( 8 ); SUB( 9 ); NEXT; // A6
nexpaq 0:6c56fb4bc5f0 1028
nexpaq 0:6c56fb4bc5f0 1029 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
nexpaq 0:6c56fb4bc5f0 1030 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
nexpaq 0:6c56fb4bc5f0 1031
nexpaq 0:6c56fb4bc5f0 1032 cleanup:
nexpaq 0:6c56fb4bc5f0 1033 return( ret );
nexpaq 0:6c56fb4bc5f0 1034 }
nexpaq 0:6c56fb4bc5f0 1035 #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1036
nexpaq 0:6c56fb4bc5f0 1037 #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1038 /*
nexpaq 0:6c56fb4bc5f0 1039 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
nexpaq 0:6c56fb4bc5f0 1040 */
nexpaq 0:6c56fb4bc5f0 1041 static int ecp_mod_p384( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1042 {
nexpaq 0:6c56fb4bc5f0 1043 INIT( 384 );
nexpaq 0:6c56fb4bc5f0 1044
nexpaq 0:6c56fb4bc5f0 1045 ADD( 12 ); ADD( 21 ); ADD( 20 );
nexpaq 0:6c56fb4bc5f0 1046 SUB( 23 ); NEXT; // A0
nexpaq 0:6c56fb4bc5f0 1047
nexpaq 0:6c56fb4bc5f0 1048 ADD( 13 ); ADD( 22 ); ADD( 23 );
nexpaq 0:6c56fb4bc5f0 1049 SUB( 12 ); SUB( 20 ); NEXT; // A2
nexpaq 0:6c56fb4bc5f0 1050
nexpaq 0:6c56fb4bc5f0 1051 ADD( 14 ); ADD( 23 );
nexpaq 0:6c56fb4bc5f0 1052 SUB( 13 ); SUB( 21 ); NEXT; // A2
nexpaq 0:6c56fb4bc5f0 1053
nexpaq 0:6c56fb4bc5f0 1054 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
nexpaq 0:6c56fb4bc5f0 1055 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
nexpaq 0:6c56fb4bc5f0 1056
nexpaq 0:6c56fb4bc5f0 1057 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
nexpaq 0:6c56fb4bc5f0 1058 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
nexpaq 0:6c56fb4bc5f0 1059
nexpaq 0:6c56fb4bc5f0 1060 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
nexpaq 0:6c56fb4bc5f0 1061 SUB( 16 ); NEXT; // A5
nexpaq 0:6c56fb4bc5f0 1062
nexpaq 0:6c56fb4bc5f0 1063 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
nexpaq 0:6c56fb4bc5f0 1064 SUB( 17 ); NEXT; // A6
nexpaq 0:6c56fb4bc5f0 1065
nexpaq 0:6c56fb4bc5f0 1066 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
nexpaq 0:6c56fb4bc5f0 1067 SUB( 18 ); NEXT; // A7
nexpaq 0:6c56fb4bc5f0 1068
nexpaq 0:6c56fb4bc5f0 1069 ADD( 20 ); ADD( 17 ); ADD( 16 );
nexpaq 0:6c56fb4bc5f0 1070 SUB( 19 ); NEXT; // A8
nexpaq 0:6c56fb4bc5f0 1071
nexpaq 0:6c56fb4bc5f0 1072 ADD( 21 ); ADD( 18 ); ADD( 17 );
nexpaq 0:6c56fb4bc5f0 1073 SUB( 20 ); NEXT; // A9
nexpaq 0:6c56fb4bc5f0 1074
nexpaq 0:6c56fb4bc5f0 1075 ADD( 22 ); ADD( 19 ); ADD( 18 );
nexpaq 0:6c56fb4bc5f0 1076 SUB( 21 ); NEXT; // A10
nexpaq 0:6c56fb4bc5f0 1077
nexpaq 0:6c56fb4bc5f0 1078 ADD( 23 ); ADD( 20 ); ADD( 19 );
nexpaq 0:6c56fb4bc5f0 1079 SUB( 22 ); LAST; // A11
nexpaq 0:6c56fb4bc5f0 1080
nexpaq 0:6c56fb4bc5f0 1081 cleanup:
nexpaq 0:6c56fb4bc5f0 1082 return( ret );
nexpaq 0:6c56fb4bc5f0 1083 }
nexpaq 0:6c56fb4bc5f0 1084 #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1085
nexpaq 0:6c56fb4bc5f0 1086 #undef A
nexpaq 0:6c56fb4bc5f0 1087 #undef LOAD32
nexpaq 0:6c56fb4bc5f0 1088 #undef STORE32
nexpaq 0:6c56fb4bc5f0 1089 #undef MAX32
nexpaq 0:6c56fb4bc5f0 1090 #undef INIT
nexpaq 0:6c56fb4bc5f0 1091 #undef NEXT
nexpaq 0:6c56fb4bc5f0 1092 #undef LAST
nexpaq 0:6c56fb4bc5f0 1093
nexpaq 0:6c56fb4bc5f0 1094 #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
nexpaq 0:6c56fb4bc5f0 1095 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
nexpaq 0:6c56fb4bc5f0 1096 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1097
nexpaq 0:6c56fb4bc5f0 1098 #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1099 /*
nexpaq 0:6c56fb4bc5f0 1100 * Here we have an actual Mersenne prime, so things are more straightforward.
nexpaq 0:6c56fb4bc5f0 1101 * However, chunks are aligned on a 'weird' boundary (521 bits).
nexpaq 0:6c56fb4bc5f0 1102 */
nexpaq 0:6c56fb4bc5f0 1103
nexpaq 0:6c56fb4bc5f0 1104 /* Size of p521 in terms of mbedtls_mpi_uint */
nexpaq 0:6c56fb4bc5f0 1105 #define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
nexpaq 0:6c56fb4bc5f0 1106
nexpaq 0:6c56fb4bc5f0 1107 /* Bits to keep in the most significant mbedtls_mpi_uint */
nexpaq 0:6c56fb4bc5f0 1108 #define P521_MASK 0x01FF
nexpaq 0:6c56fb4bc5f0 1109
nexpaq 0:6c56fb4bc5f0 1110 /*
nexpaq 0:6c56fb4bc5f0 1111 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
nexpaq 0:6c56fb4bc5f0 1112 * Write N as A1 + 2^521 A0, return A0 + A1
nexpaq 0:6c56fb4bc5f0 1113 */
nexpaq 0:6c56fb4bc5f0 1114 static int ecp_mod_p521( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1115 {
nexpaq 0:6c56fb4bc5f0 1116 int ret;
nexpaq 0:6c56fb4bc5f0 1117 size_t i;
nexpaq 0:6c56fb4bc5f0 1118 mbedtls_mpi M;
nexpaq 0:6c56fb4bc5f0 1119 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
nexpaq 0:6c56fb4bc5f0 1120 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
nexpaq 0:6c56fb4bc5f0 1121 * we need to hold bits 513 to 1056, which is 34 limbs, that is
nexpaq 0:6c56fb4bc5f0 1122 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
nexpaq 0:6c56fb4bc5f0 1123
nexpaq 0:6c56fb4bc5f0 1124 if( N->n < P521_WIDTH )
nexpaq 0:6c56fb4bc5f0 1125 return( 0 );
nexpaq 0:6c56fb4bc5f0 1126
nexpaq 0:6c56fb4bc5f0 1127 /* M = A1 */
nexpaq 0:6c56fb4bc5f0 1128 M.s = 1;
nexpaq 0:6c56fb4bc5f0 1129 M.n = N->n - ( P521_WIDTH - 1 );
nexpaq 0:6c56fb4bc5f0 1130 if( M.n > P521_WIDTH + 1 )
nexpaq 0:6c56fb4bc5f0 1131 M.n = P521_WIDTH + 1;
nexpaq 0:6c56fb4bc5f0 1132 M.p = Mp;
nexpaq 0:6c56fb4bc5f0 1133 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
nexpaq 0:6c56fb4bc5f0 1134 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
nexpaq 0:6c56fb4bc5f0 1135
nexpaq 0:6c56fb4bc5f0 1136 /* N = A0 */
nexpaq 0:6c56fb4bc5f0 1137 N->p[P521_WIDTH - 1] &= P521_MASK;
nexpaq 0:6c56fb4bc5f0 1138 for( i = P521_WIDTH; i < N->n; i++ )
nexpaq 0:6c56fb4bc5f0 1139 N->p[i] = 0;
nexpaq 0:6c56fb4bc5f0 1140
nexpaq 0:6c56fb4bc5f0 1141 /* N = A0 + A1 */
nexpaq 0:6c56fb4bc5f0 1142 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
nexpaq 0:6c56fb4bc5f0 1143
nexpaq 0:6c56fb4bc5f0 1144 cleanup:
nexpaq 0:6c56fb4bc5f0 1145 return( ret );
nexpaq 0:6c56fb4bc5f0 1146 }
nexpaq 0:6c56fb4bc5f0 1147
nexpaq 0:6c56fb4bc5f0 1148 #undef P521_WIDTH
nexpaq 0:6c56fb4bc5f0 1149 #undef P521_MASK
nexpaq 0:6c56fb4bc5f0 1150 #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1151
nexpaq 0:6c56fb4bc5f0 1152 #endif /* MBEDTLS_ECP_NIST_OPTIM */
nexpaq 0:6c56fb4bc5f0 1153
nexpaq 0:6c56fb4bc5f0 1154 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
nexpaq 0:6c56fb4bc5f0 1155
nexpaq 0:6c56fb4bc5f0 1156 /* Size of p255 in terms of mbedtls_mpi_uint */
nexpaq 0:6c56fb4bc5f0 1157 #define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
nexpaq 0:6c56fb4bc5f0 1158
nexpaq 0:6c56fb4bc5f0 1159 /*
nexpaq 0:6c56fb4bc5f0 1160 * Fast quasi-reduction modulo p255 = 2^255 - 19
nexpaq 0:6c56fb4bc5f0 1161 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
nexpaq 0:6c56fb4bc5f0 1162 */
nexpaq 0:6c56fb4bc5f0 1163 static int ecp_mod_p255( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1164 {
nexpaq 0:6c56fb4bc5f0 1165 int ret;
nexpaq 0:6c56fb4bc5f0 1166 size_t i;
nexpaq 0:6c56fb4bc5f0 1167 mbedtls_mpi M;
nexpaq 0:6c56fb4bc5f0 1168 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
nexpaq 0:6c56fb4bc5f0 1169
nexpaq 0:6c56fb4bc5f0 1170 if( N->n < P255_WIDTH )
nexpaq 0:6c56fb4bc5f0 1171 return( 0 );
nexpaq 0:6c56fb4bc5f0 1172
nexpaq 0:6c56fb4bc5f0 1173 /* M = A1 */
nexpaq 0:6c56fb4bc5f0 1174 M.s = 1;
nexpaq 0:6c56fb4bc5f0 1175 M.n = N->n - ( P255_WIDTH - 1 );
nexpaq 0:6c56fb4bc5f0 1176 if( M.n > P255_WIDTH + 1 )
nexpaq 0:6c56fb4bc5f0 1177 M.n = P255_WIDTH + 1;
nexpaq 0:6c56fb4bc5f0 1178 M.p = Mp;
nexpaq 0:6c56fb4bc5f0 1179 memset( Mp, 0, sizeof Mp );
nexpaq 0:6c56fb4bc5f0 1180 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
nexpaq 0:6c56fb4bc5f0 1181 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
nexpaq 0:6c56fb4bc5f0 1182 M.n++; /* Make room for multiplication by 19 */
nexpaq 0:6c56fb4bc5f0 1183
nexpaq 0:6c56fb4bc5f0 1184 /* N = A0 */
nexpaq 0:6c56fb4bc5f0 1185 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
nexpaq 0:6c56fb4bc5f0 1186 for( i = P255_WIDTH; i < N->n; i++ )
nexpaq 0:6c56fb4bc5f0 1187 N->p[i] = 0;
nexpaq 0:6c56fb4bc5f0 1188
nexpaq 0:6c56fb4bc5f0 1189 /* N = A0 + 19 * A1 */
nexpaq 0:6c56fb4bc5f0 1190 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
nexpaq 0:6c56fb4bc5f0 1191 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
nexpaq 0:6c56fb4bc5f0 1192
nexpaq 0:6c56fb4bc5f0 1193 cleanup:
nexpaq 0:6c56fb4bc5f0 1194 return( ret );
nexpaq 0:6c56fb4bc5f0 1195 }
nexpaq 0:6c56fb4bc5f0 1196 #endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
nexpaq 0:6c56fb4bc5f0 1197
nexpaq 0:6c56fb4bc5f0 1198 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
nexpaq 0:6c56fb4bc5f0 1199 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
nexpaq 0:6c56fb4bc5f0 1200 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1201 /*
nexpaq 0:6c56fb4bc5f0 1202 * Fast quasi-reduction modulo P = 2^s - R,
nexpaq 0:6c56fb4bc5f0 1203 * with R about 33 bits, used by the Koblitz curves.
nexpaq 0:6c56fb4bc5f0 1204 *
nexpaq 0:6c56fb4bc5f0 1205 * Write N as A0 + 2^224 A1, return A0 + R * A1.
nexpaq 0:6c56fb4bc5f0 1206 * Actually do two passes, since R is big.
nexpaq 0:6c56fb4bc5f0 1207 */
nexpaq 0:6c56fb4bc5f0 1208 #define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
nexpaq 0:6c56fb4bc5f0 1209 #define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
nexpaq 0:6c56fb4bc5f0 1210 static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
nexpaq 0:6c56fb4bc5f0 1211 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
nexpaq 0:6c56fb4bc5f0 1212 {
nexpaq 0:6c56fb4bc5f0 1213 int ret;
nexpaq 0:6c56fb4bc5f0 1214 size_t i;
nexpaq 0:6c56fb4bc5f0 1215 mbedtls_mpi M, R;
nexpaq 0:6c56fb4bc5f0 1216 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
nexpaq 0:6c56fb4bc5f0 1217
nexpaq 0:6c56fb4bc5f0 1218 if( N->n < p_limbs )
nexpaq 0:6c56fb4bc5f0 1219 return( 0 );
nexpaq 0:6c56fb4bc5f0 1220
nexpaq 0:6c56fb4bc5f0 1221 /* Init R */
nexpaq 0:6c56fb4bc5f0 1222 R.s = 1;
nexpaq 0:6c56fb4bc5f0 1223 R.p = Rp;
nexpaq 0:6c56fb4bc5f0 1224 R.n = P_KOBLITZ_R;
nexpaq 0:6c56fb4bc5f0 1225
nexpaq 0:6c56fb4bc5f0 1226 /* Common setup for M */
nexpaq 0:6c56fb4bc5f0 1227 M.s = 1;
nexpaq 0:6c56fb4bc5f0 1228 M.p = Mp;
nexpaq 0:6c56fb4bc5f0 1229
nexpaq 0:6c56fb4bc5f0 1230 /* M = A1 */
nexpaq 0:6c56fb4bc5f0 1231 M.n = N->n - ( p_limbs - adjust );
nexpaq 0:6c56fb4bc5f0 1232 if( M.n > p_limbs + adjust )
nexpaq 0:6c56fb4bc5f0 1233 M.n = p_limbs + adjust;
nexpaq 0:6c56fb4bc5f0 1234 memset( Mp, 0, sizeof Mp );
nexpaq 0:6c56fb4bc5f0 1235 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
nexpaq 0:6c56fb4bc5f0 1236 if( shift != 0 )
nexpaq 0:6c56fb4bc5f0 1237 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
nexpaq 0:6c56fb4bc5f0 1238 M.n += R.n - adjust; /* Make room for multiplication by R */
nexpaq 0:6c56fb4bc5f0 1239
nexpaq 0:6c56fb4bc5f0 1240 /* N = A0 */
nexpaq 0:6c56fb4bc5f0 1241 if( mask != 0 )
nexpaq 0:6c56fb4bc5f0 1242 N->p[p_limbs - 1] &= mask;
nexpaq 0:6c56fb4bc5f0 1243 for( i = p_limbs; i < N->n; i++ )
nexpaq 0:6c56fb4bc5f0 1244 N->p[i] = 0;
nexpaq 0:6c56fb4bc5f0 1245
nexpaq 0:6c56fb4bc5f0 1246 /* N = A0 + R * A1 */
nexpaq 0:6c56fb4bc5f0 1247 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
nexpaq 0:6c56fb4bc5f0 1248 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
nexpaq 0:6c56fb4bc5f0 1249
nexpaq 0:6c56fb4bc5f0 1250 /* Second pass */
nexpaq 0:6c56fb4bc5f0 1251
nexpaq 0:6c56fb4bc5f0 1252 /* M = A1 */
nexpaq 0:6c56fb4bc5f0 1253 M.n = N->n - ( p_limbs - adjust );
nexpaq 0:6c56fb4bc5f0 1254 if( M.n > p_limbs + adjust )
nexpaq 0:6c56fb4bc5f0 1255 M.n = p_limbs + adjust;
nexpaq 0:6c56fb4bc5f0 1256 memset( Mp, 0, sizeof Mp );
nexpaq 0:6c56fb4bc5f0 1257 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
nexpaq 0:6c56fb4bc5f0 1258 if( shift != 0 )
nexpaq 0:6c56fb4bc5f0 1259 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
nexpaq 0:6c56fb4bc5f0 1260 M.n += R.n - adjust; /* Make room for multiplication by R */
nexpaq 0:6c56fb4bc5f0 1261
nexpaq 0:6c56fb4bc5f0 1262 /* N = A0 */
nexpaq 0:6c56fb4bc5f0 1263 if( mask != 0 )
nexpaq 0:6c56fb4bc5f0 1264 N->p[p_limbs - 1] &= mask;
nexpaq 0:6c56fb4bc5f0 1265 for( i = p_limbs; i < N->n; i++ )
nexpaq 0:6c56fb4bc5f0 1266 N->p[i] = 0;
nexpaq 0:6c56fb4bc5f0 1267
nexpaq 0:6c56fb4bc5f0 1268 /* N = A0 + R * A1 */
nexpaq 0:6c56fb4bc5f0 1269 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
nexpaq 0:6c56fb4bc5f0 1270 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
nexpaq 0:6c56fb4bc5f0 1271
nexpaq 0:6c56fb4bc5f0 1272 cleanup:
nexpaq 0:6c56fb4bc5f0 1273 return( ret );
nexpaq 0:6c56fb4bc5f0 1274 }
nexpaq 0:6c56fb4bc5f0 1275 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
nexpaq 0:6c56fb4bc5f0 1276 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
nexpaq 0:6c56fb4bc5f0 1277 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
nexpaq 0:6c56fb4bc5f0 1278
nexpaq 0:6c56fb4bc5f0 1279 #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1280 /*
nexpaq 0:6c56fb4bc5f0 1281 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
nexpaq 0:6c56fb4bc5f0 1282 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
nexpaq 0:6c56fb4bc5f0 1283 */
nexpaq 0:6c56fb4bc5f0 1284 static int ecp_mod_p192k1( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1285 {
nexpaq 0:6c56fb4bc5f0 1286 static mbedtls_mpi_uint Rp[] = {
nexpaq 0:6c56fb4bc5f0 1287 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
nexpaq 0:6c56fb4bc5f0 1288
nexpaq 0:6c56fb4bc5f0 1289 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
nexpaq 0:6c56fb4bc5f0 1290 }
nexpaq 0:6c56fb4bc5f0 1291 #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1292
nexpaq 0:6c56fb4bc5f0 1293 #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1294 /*
nexpaq 0:6c56fb4bc5f0 1295 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
nexpaq 0:6c56fb4bc5f0 1296 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
nexpaq 0:6c56fb4bc5f0 1297 */
nexpaq 0:6c56fb4bc5f0 1298 static int ecp_mod_p224k1( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1299 {
nexpaq 0:6c56fb4bc5f0 1300 static mbedtls_mpi_uint Rp[] = {
nexpaq 0:6c56fb4bc5f0 1301 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
nexpaq 0:6c56fb4bc5f0 1302
nexpaq 0:6c56fb4bc5f0 1303 #if defined(MBEDTLS_HAVE_INT64)
nexpaq 0:6c56fb4bc5f0 1304 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
nexpaq 0:6c56fb4bc5f0 1305 #else
nexpaq 0:6c56fb4bc5f0 1306 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
nexpaq 0:6c56fb4bc5f0 1307 #endif
nexpaq 0:6c56fb4bc5f0 1308 }
nexpaq 0:6c56fb4bc5f0 1309
nexpaq 0:6c56fb4bc5f0 1310 #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1311
nexpaq 0:6c56fb4bc5f0 1312 #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
nexpaq 0:6c56fb4bc5f0 1313 /*
nexpaq 0:6c56fb4bc5f0 1314 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
nexpaq 0:6c56fb4bc5f0 1315 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
nexpaq 0:6c56fb4bc5f0 1316 */
nexpaq 0:6c56fb4bc5f0 1317 static int ecp_mod_p256k1( mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1318 {
nexpaq 0:6c56fb4bc5f0 1319 static mbedtls_mpi_uint Rp[] = {
nexpaq 0:6c56fb4bc5f0 1320 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
nexpaq 0:6c56fb4bc5f0 1321 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
nexpaq 0:6c56fb4bc5f0 1322 }
nexpaq 0:6c56fb4bc5f0 1323 #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
nexpaq 0:6c56fb4bc5f0 1324
nexpaq 0:6c56fb4bc5f0 1325 #endif /* MBEDTLS_ECP_C */