3190 lines
99 KiB
C
3190 lines
99 KiB
C
/* $OpenBSD: ec_curve.c,v 1.41 2023/05/02 13:01:57 tb Exp $ */
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/*
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* Written by Nils Larsch for the OpenSSL project.
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*/
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/* ====================================================================
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* Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* Portions of the attached software ("Contribution") are developed by
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* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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*
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* The Contribution is licensed pursuant to the OpenSSL open source
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* license provided above.
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*
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* The elliptic curve binary polynomial software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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*
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*/
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#include <string.h>
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#include <openssl/opensslconf.h>
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#include <openssl/err.h>
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#include <openssl/objects.h>
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#include "ec_local.h"
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/* the nist prime curves */
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static const struct {
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uint8_t seed[20];
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uint8_t p[24];
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uint8_t a[24];
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uint8_t b[24];
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uint8_t x[24];
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uint8_t y[24];
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uint8_t order[24];
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} _EC_NIST_PRIME_192 = {
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.seed = {
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0x30, 0x45, 0xae, 0x6f, 0xc8, 0x42, 0x2f, 0x64, 0xed, 0x57,
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0x95, 0x28, 0xd3, 0x81, 0x20, 0xea, 0xe1, 0x21, 0x96, 0xd5,
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},
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.p = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff,
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},
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.a = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xfc,
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},
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.b = {
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0x64, 0x21, 0x05, 0x19, 0xe5, 0x9c, 0x80, 0xe7, 0x0f, 0xa7,
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0xe9, 0xab, 0x72, 0x24, 0x30, 0x49, 0xfe, 0xb8, 0xde, 0xec,
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0xc1, 0x46, 0xb9, 0xb1,
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},
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.x = {
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0x18, 0x8d, 0xa8, 0x0e, 0xb0, 0x30, 0x90, 0xf6, 0x7c, 0xbf,
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0x20, 0xeb, 0x43, 0xa1, 0x88, 0x00, 0xf4, 0xff, 0x0a, 0xfd,
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0x82, 0xff, 0x10, 0x12,
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},
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.y = {
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0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, 0xda, 0x78, 0x63, 0x10,
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0x11, 0xed, 0x6b, 0x24, 0xcd, 0xd5, 0x73, 0xf9, 0x77, 0xa1,
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0x1e, 0x79, 0x48, 0x11,
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},
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.order = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0x99, 0xde, 0xf8, 0x36, 0x14, 0x6b, 0xc9, 0xb1,
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0xb4, 0xd2, 0x28, 0x31,
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},
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};
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static const struct {
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uint8_t seed[20];
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uint8_t p[28];
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uint8_t a[28];
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uint8_t b[28];
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uint8_t x[28];
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uint8_t y[28];
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uint8_t order[28];
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} _EC_NIST_PRIME_224 = {
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.seed = {
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0xbd, 0x71, 0x34, 0x47, 0x99, 0xd5, 0xc7, 0xfc, 0xdc, 0x45,
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0xb5, 0x9f, 0xa3, 0xb9, 0xab, 0x8f, 0x6a, 0x94, 0x8b, 0xc5,
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},
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.p = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
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},
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.a = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
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},
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.b = {
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0xb4, 0x05, 0x0a, 0x85, 0x0c, 0x04, 0xb3, 0xab, 0xf5, 0x41,
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0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7, 0xd7, 0xbf, 0xd8, 0xba,
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0x27, 0x0b, 0x39, 0x43, 0x23, 0x55, 0xff, 0xb4,
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},
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.x = {
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0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13,
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0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22,
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0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21,
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},
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.y = {
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0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22,
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0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64,
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0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34,
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},
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.order = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, 0xe0, 0xb8, 0xf0, 0x3e,
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0x13, 0xdd, 0x29, 0x45, 0x5c, 0x5c, 0x2a, 0x3d,
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},
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};
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static const struct {
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uint8_t seed[20];
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uint8_t p[48];
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uint8_t a[48];
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uint8_t b[48];
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uint8_t x[48];
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uint8_t y[48];
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uint8_t order[48];
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} _EC_NIST_PRIME_384 = {
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.seed = {
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0xa3, 0x35, 0x92, 0x6a, 0xa3, 0x19, 0xa2, 0x7a, 0x1d, 0x00,
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0x89, 0x6a, 0x67, 0x73, 0xa4, 0x82, 0x7a, 0xcd, 0xac, 0x73,
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},
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.p = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff,
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},
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.a = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
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0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xfc,
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},
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.b = {
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0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4, 0x98, 0x8e,
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0x05, 0x6b, 0xe3, 0xf8, 0x2d, 0x19, 0x18, 0x1d, 0x9c, 0x6e,
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0xfe, 0x81, 0x41, 0x12, 0x03, 0x14, 0x08, 0x8f, 0x50, 0x13,
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0x87, 0x5a, 0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, 0xd1, 0x9d,
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0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef,
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},
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.x = {
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0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x05, 0x37, 0x8e, 0xb1,
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0xc7, 0x1e, 0xf3, 0x20, 0xad, 0x74, 0x6e, 0x1d, 0x3b, 0x62,
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0x8b, 0xa7, 0x9b, 0x98, 0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54,
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0x2a, 0x38, 0x55, 0x02, 0xf2, 0x5d, 0xbf, 0x55, 0x29, 0x6c,
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0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0x0a, 0xb7,
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},
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.y = {
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0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e,
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0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd,
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0x28, 0x9a, 0x14, 0x7c, 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0,
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0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d,
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0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f,
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},
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.order = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xc7, 0x63, 0x4d, 0x81, 0xf4, 0x37,
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0x2d, 0xdf, 0x58, 0x1a, 0x0d, 0xb2, 0x48, 0xb0, 0xa7, 0x7a,
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0xec, 0xec, 0x19, 0x6a, 0xcc, 0xc5, 0x29, 0x73,
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},
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};
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static const struct {
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uint8_t seed[20];
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uint8_t p[66];
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uint8_t a[66];
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uint8_t b[66];
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uint8_t x[66];
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uint8_t y[66];
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uint8_t order[66];
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} _EC_NIST_PRIME_521 = {
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.seed = {
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0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc,
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0x67, 0x17, 0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba,
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},
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.p = {
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0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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},
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.a = {
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0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfc,
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},
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.b = {
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0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, 0x1f,
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0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda,
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0x72, 0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91,
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0x8e, 0xf1, 0x09, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e,
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0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, 0xbf, 0x07,
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0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, 0xf1, 0xef, 0x45,
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0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00,
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},
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.x = {
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0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd,
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0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64,
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0x81, 0x39, 0x05, 0x3f, 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60,
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0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7,
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0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, 0xa8, 0xde,
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0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e,
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0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66,
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},
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.y = {
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0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04,
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0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5,
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0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17,
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0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4,
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0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61,
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0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe,
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0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
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},
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.order = {
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0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xfa, 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f,
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0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, 0xf7, 0x09, 0xa5, 0xd0,
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0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae, 0xbb, 0x6f,
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0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09,
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},
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};
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/* the x9.62 prime curves (minus the nist prime curves) */
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static const struct {
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uint8_t seed[20];
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uint8_t p[24];
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uint8_t a[24];
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uint8_t b[24];
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uint8_t x[24];
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uint8_t y[24];
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uint8_t order[24];
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} _EC_X9_62_PRIME_192V2 = {
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.seed = {
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0x31, 0xa9, 0x2e, 0xe2, 0x02, 0x9f, 0xd1, 0x0d, 0x90, 0x1b,
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0x11, 0x3e, 0x99, 0x07, 0x10, 0xf0, 0xd2, 0x1a, 0xc6, 0xb6,
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},
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.p = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff,
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},
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.a = {
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
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0xff, 0xff, 0xff, 0xfc,
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},
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.b = {
|
|
0xcc, 0x22, 0xd6, 0xdf, 0xb9, 0x5c, 0x6b, 0x25, 0xe4, 0x9c,
|
|
0x0d, 0x63, 0x64, 0xa4, 0xe5, 0x98, 0x0c, 0x39, 0x3a, 0xa2,
|
|
0x16, 0x68, 0xd9, 0x53,
|
|
},
|
|
.x = {
|
|
0xee, 0xa2, 0xba, 0xe7, 0xe1, 0x49, 0x78, 0x42, 0xf2, 0xde,
|
|
0x77, 0x69, 0xcf, 0xe9, 0xc9, 0x89, 0xc0, 0x72, 0xad, 0x69,
|
|
0x6f, 0x48, 0x03, 0x4a,
|
|
},
|
|
.y = {
|
|
0x65, 0x74, 0xd1, 0x1d, 0x69, 0xb6, 0xec, 0x7a, 0x67, 0x2b,
|
|
0xb8, 0x2a, 0x08, 0x3d, 0xf2, 0xf2, 0xb0, 0x84, 0x7d, 0xe9,
|
|
0x70, 0xb2, 0xde, 0x15,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xfe, 0x5f, 0xb1, 0xa7, 0x24, 0xdc, 0x80, 0x41, 0x86,
|
|
0x48, 0xd8, 0xdd, 0x31,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[24];
|
|
uint8_t a[24];
|
|
uint8_t b[24];
|
|
uint8_t x[24];
|
|
uint8_t y[24];
|
|
uint8_t order[24];
|
|
} _EC_X9_62_PRIME_192V3 = {
|
|
.seed = {
|
|
0xc4, 0x69, 0x68, 0x44, 0x35, 0xde, 0xb3, 0x78, 0xc4, 0xb6,
|
|
0x5c, 0xa9, 0x59, 0x1e, 0x2a, 0x57, 0x63, 0x05, 0x9a, 0x2e,
|
|
},
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0x22, 0x12, 0x3d, 0xc2, 0x39, 0x5a, 0x05, 0xca, 0xa7, 0x42,
|
|
0x3d, 0xae, 0xcc, 0xc9, 0x47, 0x60, 0xa7, 0xd4, 0x62, 0x25,
|
|
0x6b, 0xd5, 0x69, 0x16,
|
|
},
|
|
.x = {
|
|
0x7d, 0x29, 0x77, 0x81, 0x00, 0xc6, 0x5a, 0x1d, 0xa1, 0x78,
|
|
0x37, 0x16, 0x58, 0x8d, 0xce, 0x2b, 0x8b, 0x4a, 0xee, 0x8e,
|
|
0x22, 0x8f, 0x18, 0x96,
|
|
},
|
|
.y = {
|
|
0x38, 0xa9, 0x0f, 0x22, 0x63, 0x73, 0x37, 0x33, 0x4b, 0x49,
|
|
0xdc, 0xb6, 0x6a, 0x6d, 0xc8, 0xf9, 0x97, 0x8a, 0xca, 0x76,
|
|
0x48, 0xa9, 0x43, 0xb0,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7a, 0x62, 0xd0, 0x31, 0xc8, 0x3f, 0x42, 0x94,
|
|
0xf6, 0x40, 0xec, 0x13,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[30];
|
|
uint8_t a[30];
|
|
uint8_t b[30];
|
|
uint8_t x[30];
|
|
uint8_t y[30];
|
|
uint8_t order[30];
|
|
} _EC_X9_62_PRIME_239V1 = {
|
|
.seed = {
|
|
0xe4, 0x3b, 0xb4, 0x60, 0xf0, 0xb8, 0x0c, 0xc0, 0xc0, 0xb0,
|
|
0x75, 0x79, 0x8e, 0x94, 0x80, 0x60, 0xf8, 0x32, 0x1b, 0x7d,
|
|
},
|
|
.p = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0x6b, 0x01, 0x6c, 0x3b, 0xdc, 0xf1, 0x89, 0x41, 0xd0, 0xd6,
|
|
0x54, 0x92, 0x14, 0x75, 0xca, 0x71, 0xa9, 0xdb, 0x2f, 0xb2,
|
|
0x7d, 0x1d, 0x37, 0x79, 0x61, 0x85, 0xc2, 0x94, 0x2c, 0x0a,
|
|
},
|
|
.x = {
|
|
0x0f, 0xfa, 0x96, 0x3c, 0xdc, 0xa8, 0x81, 0x6c, 0xcc, 0x33,
|
|
0xb8, 0x64, 0x2b, 0xed, 0xf9, 0x05, 0xc3, 0xd3, 0x58, 0x57,
|
|
0x3d, 0x3f, 0x27, 0xfb, 0xbd, 0x3b, 0x3c, 0xb9, 0xaa, 0xaf,
|
|
},
|
|
.y = {
|
|
0x7d, 0xeb, 0xe8, 0xe4, 0xe9, 0x0a, 0x5d, 0xae, 0x6e, 0x40,
|
|
0x54, 0xca, 0x53, 0x0b, 0xa0, 0x46, 0x54, 0xb3, 0x68, 0x18,
|
|
0xce, 0x22, 0x6b, 0x39, 0xfc, 0xcb, 0x7b, 0x02, 0xf1, 0xae,
|
|
},
|
|
.order = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0x9e, 0x5e, 0x9a, 0x9f, 0x5d,
|
|
0x90, 0x71, 0xfb, 0xd1, 0x52, 0x26, 0x88, 0x90, 0x9d, 0x0b,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[30];
|
|
uint8_t a[30];
|
|
uint8_t b[30];
|
|
uint8_t x[30];
|
|
uint8_t y[30];
|
|
uint8_t order[30];
|
|
} _EC_X9_62_PRIME_239V2 = {
|
|
.seed = {
|
|
0xe8, 0xb4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xca, 0x3b,
|
|
0x80, 0x99, 0x98, 0x2b, 0xe0, 0x9f, 0xcb, 0x9a, 0xe6, 0x16,
|
|
},
|
|
.p = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0x61, 0x7f, 0xab, 0x68, 0x32, 0x57, 0x6c, 0xbb, 0xfe, 0xd5,
|
|
0x0d, 0x99, 0xf0, 0x24, 0x9c, 0x3f, 0xee, 0x58, 0xb9, 0x4b,
|
|
0xa0, 0x03, 0x8c, 0x7a, 0xe8, 0x4c, 0x8c, 0x83, 0x2f, 0x2c,
|
|
},
|
|
.x = {
|
|
0x38, 0xaf, 0x09, 0xd9, 0x87, 0x27, 0x70, 0x51, 0x20, 0xc9,
|
|
0x21, 0xbb, 0x5e, 0x9e, 0x26, 0x29, 0x6a, 0x3c, 0xdc, 0xf2,
|
|
0xf3, 0x57, 0x57, 0xa0, 0xea, 0xfd, 0x87, 0xb8, 0x30, 0xe7,
|
|
},
|
|
.y = {
|
|
0x5b, 0x01, 0x25, 0xe4, 0xdb, 0xea, 0x0e, 0xc7, 0x20, 0x6d,
|
|
0xa0, 0xfc, 0x01, 0xd9, 0xb0, 0x81, 0x32, 0x9f, 0xb5, 0x55,
|
|
0xde, 0x6e, 0xf4, 0x60, 0x23, 0x7d, 0xff, 0x8b, 0xe4, 0xba,
|
|
},
|
|
.order = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x80, 0x00, 0x00, 0xcf, 0xa7, 0xe8, 0x59, 0x43,
|
|
0x77, 0xd4, 0x14, 0xc0, 0x38, 0x21, 0xbc, 0x58, 0x20, 0x63,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[30];
|
|
uint8_t a[30];
|
|
uint8_t b[30];
|
|
uint8_t x[30];
|
|
uint8_t y[30];
|
|
uint8_t order[30];
|
|
} _EC_X9_62_PRIME_239V3 = {
|
|
.seed = {
|
|
0x7d, 0x73, 0x74, 0x16, 0x8f, 0xfe, 0x34, 0x71, 0xb6, 0x0a,
|
|
0x85, 0x76, 0x86, 0xa1, 0x94, 0x75, 0xd3, 0xbf, 0xa2, 0xff,
|
|
},
|
|
.p = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0x25, 0x57, 0x05, 0xfa, 0x2a, 0x30, 0x66, 0x54, 0xb1, 0xf4,
|
|
0xcb, 0x03, 0xd6, 0xa7, 0x50, 0xa3, 0x0c, 0x25, 0x01, 0x02,
|
|
0xd4, 0x98, 0x87, 0x17, 0xd9, 0xba, 0x15, 0xab, 0x6d, 0x3e,
|
|
},
|
|
.x = {
|
|
0x67, 0x68, 0xae, 0x8e, 0x18, 0xbb, 0x92, 0xcf, 0xcf, 0x00,
|
|
0x5c, 0x94, 0x9a, 0xa2, 0xc6, 0xd9, 0x48, 0x53, 0xd0, 0xe6,
|
|
0x60, 0xbb, 0xf8, 0x54, 0xb1, 0xc9, 0x50, 0x5f, 0xe9, 0x5a,
|
|
},
|
|
.y = {
|
|
0x16, 0x07, 0xe6, 0x89, 0x8f, 0x39, 0x0c, 0x06, 0xbc, 0x1d,
|
|
0x55, 0x2b, 0xad, 0x22, 0x6f, 0x3b, 0x6f, 0xcf, 0xe4, 0x8b,
|
|
0x6e, 0x81, 0x84, 0x99, 0xaf, 0x18, 0xe3, 0xed, 0x6c, 0xf3,
|
|
},
|
|
.order = {
|
|
0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x7f, 0xff, 0xff, 0x97, 0x5d, 0xeb, 0x41, 0xb3,
|
|
0xa6, 0x05, 0x7c, 0x3c, 0x43, 0x21, 0x46, 0x52, 0x65, 0x51,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_X9_62_PRIME_256V1 = {
|
|
.seed = {
|
|
0xc4, 0x9d, 0x36, 0x08, 0x86, 0xe7, 0x04, 0x93, 0x6a, 0x66,
|
|
0x78, 0xe1, 0x13, 0x9d, 0x26, 0xb7, 0x81, 0x9f, 0x7e, 0x90,
|
|
},
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, 0xb3, 0xeb,
|
|
0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc, 0x65, 0x1d, 0x06, 0xb0,
|
|
0xcc, 0x53, 0xb0, 0xf6, 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2,
|
|
0x60, 0x4b,
|
|
},
|
|
.x = {
|
|
0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, 0xf8, 0xbc,
|
|
0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2, 0x77, 0x03, 0x7d, 0x81,
|
|
0x2d, 0xeb, 0x33, 0xa0, 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98,
|
|
0xc2, 0x96,
|
|
},
|
|
.y = {
|
|
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7,
|
|
0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57,
|
|
0x6b, 0x31, 0x5e, 0xce, 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf,
|
|
0x51, 0xf5,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xbc, 0xe6, 0xfa, 0xad,
|
|
0xa7, 0x17, 0x9e, 0x84, 0xf3, 0xb9, 0xca, 0xc2, 0xfc, 0x63,
|
|
0x25, 0x51,
|
|
},
|
|
};
|
|
|
|
/* the secg prime curves (minus the nist and x9.62 prime curves) */
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[14];
|
|
uint8_t a[14];
|
|
uint8_t b[14];
|
|
uint8_t x[14];
|
|
uint8_t y[14];
|
|
uint8_t order[14];
|
|
} _EC_SECG_PRIME_112R1 = {
|
|
.seed = {
|
|
0x00, 0xf5, 0x0b, 0x02, 0x8e, 0x4d, 0x69, 0x6e, 0x67, 0x68,
|
|
0x75, 0x61, 0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3f, 0xb1,
|
|
},
|
|
.p = {
|
|
0xdb, 0x7c, 0x2a, 0xbf, 0x62, 0xe3, 0x5e, 0x66, 0x80, 0x76,
|
|
0xbe, 0xad, 0x20, 0x8b,
|
|
},
|
|
.a = {
|
|
0xdb, 0x7c, 0x2a, 0xbf, 0x62, 0xe3, 0x5e, 0x66, 0x80, 0x76,
|
|
0xbe, 0xad, 0x20, 0x88,
|
|
},
|
|
.b = {
|
|
0x65, 0x9e, 0xf8, 0xba, 0x04, 0x39, 0x16, 0xee, 0xde, 0x89,
|
|
0x11, 0x70, 0x2b, 0x22,
|
|
},
|
|
.x = {
|
|
0x09, 0x48, 0x72, 0x39, 0x99, 0x5a, 0x5e, 0xe7, 0x6b, 0x55,
|
|
0xf9, 0xc2, 0xf0, 0x98,
|
|
},
|
|
.y = {
|
|
0xa8, 0x9c, 0xe5, 0xaf, 0x87, 0x24, 0xc0, 0xa2, 0x3e, 0x0e,
|
|
0x0f, 0xf7, 0x75, 0x00,
|
|
},
|
|
.order = {
|
|
0xdb, 0x7c, 0x2a, 0xbf, 0x62, 0xe3, 0x5e, 0x76, 0x28, 0xdf,
|
|
0xac, 0x65, 0x61, 0xc5,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[14];
|
|
uint8_t a[14];
|
|
uint8_t b[14];
|
|
uint8_t x[14];
|
|
uint8_t y[14];
|
|
uint8_t order[14];
|
|
} _EC_SECG_PRIME_112R2 = {
|
|
.seed = {
|
|
0x00, 0x27, 0x57, 0xa1, 0x11, 0x4d, 0x69, 0x6e, 0x67, 0x68,
|
|
0x75, 0x61, 0x51, 0x75, 0x53, 0x16, 0xc0, 0x5e, 0x0b, 0xd4,
|
|
},
|
|
.p = {
|
|
0xdb, 0x7c, 0x2a, 0xbf, 0x62, 0xe3, 0x5e, 0x66, 0x80, 0x76,
|
|
0xbe, 0xad, 0x20, 0x8b,
|
|
},
|
|
.a = {
|
|
0x61, 0x27, 0xc2, 0x4c, 0x05, 0xf3, 0x8a, 0x0a, 0xaa, 0xf6,
|
|
0x5c, 0x0e, 0xf0, 0x2c,
|
|
},
|
|
.b = {
|
|
0x51, 0xde, 0xf1, 0x81, 0x5d, 0xb5, 0xed, 0x74, 0xfc, 0xc3,
|
|
0x4c, 0x85, 0xd7, 0x09,
|
|
},
|
|
.x = {
|
|
0x4b, 0xa3, 0x0a, 0xb5, 0xe8, 0x92, 0xb4, 0xe1, 0x64, 0x9d,
|
|
0xd0, 0x92, 0x86, 0x43,
|
|
},
|
|
.y = {
|
|
0xad, 0xcd, 0x46, 0xf5, 0x88, 0x2e, 0x37, 0x47, 0xde, 0xf3,
|
|
0x6e, 0x95, 0x6e, 0x97,
|
|
},
|
|
.order = {
|
|
0x36, 0xdf, 0x0a, 0xaf, 0xd8, 0xb8, 0xd7, 0x59, 0x7c, 0xa1,
|
|
0x05, 0x20, 0xd0, 0x4b,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[16];
|
|
uint8_t a[16];
|
|
uint8_t b[16];
|
|
uint8_t x[16];
|
|
uint8_t y[16];
|
|
uint8_t order[16];
|
|
} _EC_SECG_PRIME_128R1 = {
|
|
.seed = {
|
|
0x00, 0x0e, 0x0d, 0x4d, 0x69, 0x6e, 0x67, 0x68, 0x75, 0x61,
|
|
0x51, 0x75, 0x0c, 0xc0, 0x3a, 0x44, 0x73, 0xd0, 0x36, 0x79,
|
|
},
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xfc,
|
|
},
|
|
.b = {
|
|
0xe8, 0x75, 0x79, 0xc1, 0x10, 0x79, 0xf4, 0x3d, 0xd8, 0x24,
|
|
0x99, 0x3c, 0x2c, 0xee, 0x5e, 0xd3,
|
|
},
|
|
.x = {
|
|
0x16, 0x1f, 0xf7, 0x52, 0x8b, 0x89, 0x9b, 0x2d, 0x0c, 0x28,
|
|
0x60, 0x7c, 0xa5, 0x2c, 0x5b, 0x86,
|
|
},
|
|
.y = {
|
|
0xcf, 0x5a, 0xc8, 0x39, 0x5b, 0xaf, 0xeb, 0x13, 0xc0, 0x2d,
|
|
0xa2, 0x92, 0xdd, 0xed, 0x7a, 0x83,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xfe, 0x00, 0x00, 0x00, 0x00, 0x75, 0xa3,
|
|
0x0d, 0x1b, 0x90, 0x38, 0xa1, 0x15,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[16];
|
|
uint8_t a[16];
|
|
uint8_t b[16];
|
|
uint8_t x[16];
|
|
uint8_t y[16];
|
|
uint8_t order[16];
|
|
} _EC_SECG_PRIME_128R2 = {
|
|
.seed = {
|
|
0x00, 0x4d, 0x69, 0x6e, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75,
|
|
0x12, 0xd8, 0xf0, 0x34, 0x31, 0xfc, 0xe6, 0x3b, 0x88, 0xf4,
|
|
},
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
},
|
|
.a = {
|
|
0xd6, 0x03, 0x19, 0x98, 0xd1, 0xb3, 0xbb, 0xfe, 0xbf, 0x59,
|
|
0xcc, 0x9b, 0xbf, 0xf9, 0xae, 0xe1,
|
|
},
|
|
.b = {
|
|
0x5e, 0xee, 0xfc, 0xa3, 0x80, 0xd0, 0x29, 0x19, 0xdc, 0x2c,
|
|
0x65, 0x58, 0xbb, 0x6d, 0x8a, 0x5d,
|
|
},
|
|
.x = {
|
|
0x7b, 0x6a, 0xa5, 0xd8, 0x5e, 0x57, 0x29, 0x83, 0xe6, 0xfb,
|
|
0x32, 0xa7, 0xcd, 0xeb, 0xc1, 0x40,
|
|
},
|
|
.y = {
|
|
0x27, 0xb6, 0x91, 0x6a, 0x89, 0x4d, 0x3a, 0xee, 0x71, 0x06,
|
|
0xfe, 0x80, 0x5f, 0xc3, 0x4b, 0x44,
|
|
},
|
|
.order = {
|
|
0x3f, 0xff, 0xff, 0xff, 0x7f, 0xff, 0xff, 0xff, 0xbe, 0x00,
|
|
0x24, 0x72, 0x06, 0x13, 0xb5, 0xa3,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[21];
|
|
uint8_t a[21];
|
|
uint8_t b[21];
|
|
uint8_t x[21];
|
|
uint8_t y[21];
|
|
uint8_t order[21];
|
|
} _EC_SECG_PRIME_160K1 = {
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xac,
|
|
0x73,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x07,
|
|
},
|
|
.x = {
|
|
0x00, 0x3b, 0x4c, 0x38, 0x2c, 0xe3, 0x7a, 0xa1, 0x92, 0xa4,
|
|
0x01, 0x9e, 0x76, 0x30, 0x36, 0xf4, 0xf5, 0xdd, 0x4d, 0x7e,
|
|
0xbb,
|
|
},
|
|
.y = {
|
|
0x00, 0x93, 0x8c, 0xf9, 0x35, 0x31, 0x8f, 0xdc, 0xed, 0x6b,
|
|
0xc2, 0x82, 0x86, 0x53, 0x17, 0x33, 0xc3, 0xf0, 0x3c, 0x4f,
|
|
0xee,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x01, 0xb8, 0xfa, 0x16, 0xdf, 0xab, 0x9a, 0xca, 0x16, 0xb6,
|
|
0xb3,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[21];
|
|
uint8_t a[21];
|
|
uint8_t b[21];
|
|
uint8_t x[21];
|
|
uint8_t y[21];
|
|
uint8_t order[21];
|
|
} _EC_SECG_PRIME_160R1 = {
|
|
.seed = {
|
|
0x10, 0x53, 0xcd, 0xe4, 0x2c, 0x14, 0xd6, 0x96, 0xe6, 0x76,
|
|
0x87, 0x56, 0x15, 0x17, 0x53, 0x3b, 0xf3, 0xf8, 0x33, 0x45,
|
|
},
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0xff, 0xff,
|
|
0xff,
|
|
},
|
|
.a = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0xff, 0xff,
|
|
0xfc,
|
|
},
|
|
.b = {
|
|
0x00, 0x1c, 0x97, 0xbe, 0xfc, 0x54, 0xbd, 0x7a, 0x8b, 0x65,
|
|
0xac, 0xf8, 0x9f, 0x81, 0xd4, 0xd4, 0xad, 0xc5, 0x65, 0xfa,
|
|
0x45,
|
|
},
|
|
.x = {
|
|
0x00, 0x4a, 0x96, 0xb5, 0x68, 0x8e, 0xf5, 0x73, 0x28, 0x46,
|
|
0x64, 0x69, 0x89, 0x68, 0xc3, 0x8b, 0xb9, 0x13, 0xcb, 0xfc,
|
|
0x82,
|
|
},
|
|
.y = {
|
|
0x00, 0x23, 0xa6, 0x28, 0x55, 0x31, 0x68, 0x94, 0x7d, 0x59,
|
|
0xdc, 0xc9, 0x12, 0x04, 0x23, 0x51, 0x37, 0x7a, 0xc5, 0xfb,
|
|
0x32,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x01, 0xf4, 0xc8, 0xf9, 0x27, 0xae, 0xd3, 0xca, 0x75, 0x22,
|
|
0x57,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t seed[20];
|
|
uint8_t p[21];
|
|
uint8_t a[21];
|
|
uint8_t b[21];
|
|
uint8_t x[21];
|
|
uint8_t y[21];
|
|
uint8_t order[21];
|
|
} _EC_SECG_PRIME_160R2 = {
|
|
.seed = {
|
|
0xb9, 0x9b, 0x99, 0xb0, 0x99, 0xb3, 0x23, 0xe0, 0x27, 0x09,
|
|
0xa4, 0xd6, 0x96, 0xe6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51,
|
|
},
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xac,
|
|
0x73,
|
|
},
|
|
.a = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xac,
|
|
0x70,
|
|
},
|
|
.b = {
|
|
0x00, 0xb4, 0xe1, 0x34, 0xd3, 0xfb, 0x59, 0xeb, 0x8b, 0xab,
|
|
0x57, 0x27, 0x49, 0x04, 0x66, 0x4d, 0x5a, 0xf5, 0x03, 0x88,
|
|
0xba,
|
|
},
|
|
.x = {
|
|
0x00, 0x52, 0xdc, 0xb0, 0x34, 0x29, 0x3a, 0x11, 0x7e, 0x1f,
|
|
0x4f, 0xf1, 0x1b, 0x30, 0xf7, 0x19, 0x9d, 0x31, 0x44, 0xce,
|
|
0x6d,
|
|
},
|
|
.y = {
|
|
0x00, 0xfe, 0xaf, 0xfe, 0xf2, 0xe3, 0x31, 0xf2, 0x96, 0xe0,
|
|
0x71, 0xfa, 0x0d, 0xf9, 0x98, 0x2c, 0xfe, 0xa7, 0xd4, 0x3f,
|
|
0x2e,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x35, 0x1e, 0xe7, 0x86, 0xa8, 0x18, 0xf3, 0xa1, 0xa1,
|
|
0x6b,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[24];
|
|
uint8_t a[24];
|
|
uint8_t b[24];
|
|
uint8_t x[24];
|
|
uint8_t y[24];
|
|
uint8_t order[24];
|
|
} _EC_SECG_PRIME_192K1 = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
|
|
0xff, 0xff, 0xee, 0x37,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x03,
|
|
},
|
|
.x = {
|
|
0xdb, 0x4f, 0xf1, 0x0e, 0xc0, 0x57, 0xe9, 0xae, 0x26, 0xb0,
|
|
0x7d, 0x02, 0x80, 0xb7, 0xf4, 0x34, 0x1d, 0xa5, 0xd1, 0xb1,
|
|
0xea, 0xe0, 0x6c, 0x7d,
|
|
},
|
|
.y = {
|
|
0x9b, 0x2f, 0x2f, 0x6d, 0x9c, 0x56, 0x28, 0xa7, 0x84, 0x41,
|
|
0x63, 0xd0, 0x15, 0xbe, 0x86, 0x34, 0x40, 0x82, 0xaa, 0x88,
|
|
0xd9, 0x5e, 0x2f, 0x9d,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xfe, 0x26, 0xf2, 0xfc, 0x17, 0x0f, 0x69, 0x46, 0x6a,
|
|
0x74, 0xde, 0xfd, 0x8d,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[29];
|
|
uint8_t a[29];
|
|
uint8_t b[29];
|
|
uint8_t x[29];
|
|
uint8_t y[29];
|
|
uint8_t order[29];
|
|
} _EC_SECG_PRIME_224K1 = {
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xe5, 0x6d,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x05,
|
|
},
|
|
.x = {
|
|
0x00, 0xa1, 0x45, 0x5b, 0x33, 0x4d, 0xf0, 0x99, 0xdf, 0x30,
|
|
0xfc, 0x28, 0xa1, 0x69, 0xa4, 0x67, 0xe9, 0xe4, 0x70, 0x75,
|
|
0xa9, 0x0f, 0x7e, 0x65, 0x0e, 0xb6, 0xb7, 0xa4, 0x5c,
|
|
},
|
|
.y = {
|
|
0x00, 0x7e, 0x08, 0x9f, 0xed, 0x7f, 0xba, 0x34, 0x42, 0x82,
|
|
0xca, 0xfb, 0xd6, 0xf7, 0xe3, 0x19, 0xf7, 0xc0, 0xb0, 0xbd,
|
|
0x59, 0xe2, 0xca, 0x4b, 0xdb, 0x55, 0x6d, 0x61, 0xa5,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x01, 0xdc, 0xe8, 0xd2, 0xec, 0x61,
|
|
0x84, 0xca, 0xf0, 0xa9, 0x71, 0x76, 0x9f, 0xb1, 0xf7,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_SECG_PRIME_256K1 = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff,
|
|
0xfc, 0x2f,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x07,
|
|
},
|
|
.x = {
|
|
0x79, 0xbe, 0x66, 0x7e, 0xf9, 0xdc, 0xbb, 0xac, 0x55, 0xa0,
|
|
0x62, 0x95, 0xce, 0x87, 0x0b, 0x07, 0x02, 0x9b, 0xfc, 0xdb,
|
|
0x2d, 0xce, 0x28, 0xd9, 0x59, 0xf2, 0x81, 0x5b, 0x16, 0xf8,
|
|
0x17, 0x98,
|
|
},
|
|
.y = {
|
|
0x48, 0x3a, 0xda, 0x77, 0x26, 0xa3, 0xc4, 0x65, 0x5d, 0xa4,
|
|
0xfb, 0xfc, 0x0e, 0x11, 0x08, 0xa8, 0xfd, 0x17, 0xb4, 0x48,
|
|
0xa6, 0x85, 0x54, 0x19, 0x9c, 0x47, 0xd0, 0x8f, 0xfb, 0x10,
|
|
0xd4, 0xb8,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xba, 0xae, 0xdc, 0xe6,
|
|
0xaf, 0x48, 0xa0, 0x3b, 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36,
|
|
0x41, 0x41,
|
|
},
|
|
};
|
|
|
|
/* some wap/wtls curves */
|
|
static const struct {
|
|
uint8_t p[15];
|
|
uint8_t a[15];
|
|
uint8_t b[15];
|
|
uint8_t x[15];
|
|
uint8_t y[15];
|
|
uint8_t order[15];
|
|
} _EC_WTLS_8 = {
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xfd, 0xe7,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x03,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x01,
|
|
},
|
|
.y = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x02,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xec, 0xea,
|
|
0x55, 0x1a, 0xd8, 0x37, 0xe9,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[21];
|
|
uint8_t a[21];
|
|
uint8_t b[21];
|
|
uint8_t x[21];
|
|
uint8_t y[21];
|
|
uint8_t order[21];
|
|
} _EC_WTLS_9 = {
|
|
.p = {
|
|
0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc, 0x80,
|
|
0x8f,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x03,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x01,
|
|
},
|
|
.y = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x02,
|
|
},
|
|
.order = {
|
|
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x01, 0xcd, 0xc9, 0x8a, 0xe0, 0xe2, 0xde, 0x57, 0x4a, 0xbf,
|
|
0x33,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[28];
|
|
uint8_t a[28];
|
|
uint8_t b[28];
|
|
uint8_t x[28];
|
|
uint8_t y[28];
|
|
uint8_t order[28];
|
|
} _EC_WTLS_12 = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
|
|
},
|
|
.b = {
|
|
0xb4, 0x05, 0x0a, 0x85, 0x0c, 0x04, 0xb3, 0xab, 0xf5, 0x41,
|
|
0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7, 0xd7, 0xbf, 0xd8, 0xba,
|
|
0x27, 0x0b, 0x39, 0x43, 0x23, 0x55, 0xff, 0xb4,
|
|
},
|
|
.x = {
|
|
0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13,
|
|
0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22,
|
|
0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21,
|
|
},
|
|
.y = {
|
|
0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22,
|
|
0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64,
|
|
0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, 0xe0, 0xb8, 0xf0, 0x3e,
|
|
0x13, 0xdd, 0x29, 0x45, 0x5c, 0x5c, 0x2a, 0x3d,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[20];
|
|
uint8_t a[20];
|
|
uint8_t b[20];
|
|
uint8_t x[20];
|
|
uint8_t y[20];
|
|
uint8_t order[20];
|
|
} _EC_brainpoolP160r1 = {
|
|
.p = {
|
|
0xe9, 0x5e, 0x4a, 0x5f, 0x73, 0x70, 0x59, 0xdc, 0x60, 0xdf,
|
|
0xc7, 0xad, 0x95, 0xb3, 0xd8, 0x13, 0x95, 0x15, 0x62, 0x0f,
|
|
},
|
|
.a = {
|
|
0x34, 0x0e, 0x7b, 0xe2, 0xa2, 0x80, 0xeb, 0x74, 0xe2, 0xbe,
|
|
0x61, 0xba, 0xda, 0x74, 0x5d, 0x97, 0xe8, 0xf7, 0xc3, 0x00,
|
|
},
|
|
.b = {
|
|
0x1e, 0x58, 0x9a, 0x85, 0x95, 0x42, 0x34, 0x12, 0x13, 0x4f,
|
|
0xaa, 0x2d, 0xbd, 0xec, 0x95, 0xc8, 0xd8, 0x67, 0x5e, 0x58,
|
|
},
|
|
.x = {
|
|
0xbe, 0xd5, 0xaf, 0x16, 0xea, 0x3f, 0x6a, 0x4f, 0x62, 0x93,
|
|
0x8c, 0x46, 0x31, 0xeb, 0x5a, 0xf7, 0xbd, 0xbc, 0xdb, 0xc3,
|
|
},
|
|
.y = {
|
|
0x16, 0x67, 0xcb, 0x47, 0x7a, 0x1a, 0x8e, 0xc3, 0x38, 0xf9,
|
|
0x47, 0x41, 0x66, 0x9c, 0x97, 0x63, 0x16, 0xda, 0x63, 0x21,
|
|
},
|
|
.order = {
|
|
0xe9, 0x5e, 0x4a, 0x5f, 0x73, 0x70, 0x59, 0xdc, 0x60, 0xdf,
|
|
0x59, 0x91, 0xd4, 0x50, 0x29, 0x40, 0x9e, 0x60, 0xfc, 0x09,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[20];
|
|
uint8_t a[20];
|
|
uint8_t b[20];
|
|
uint8_t x[20];
|
|
uint8_t y[20];
|
|
uint8_t order[20];
|
|
} _EC_brainpoolP160t1 = {
|
|
.p = {
|
|
0xe9, 0x5e, 0x4a, 0x5f, 0x73, 0x70, 0x59, 0xdc, 0x60, 0xdf,
|
|
0xc7, 0xad, 0x95, 0xb3, 0xd8, 0x13, 0x95, 0x15, 0x62, 0x0f,
|
|
},
|
|
.a = {
|
|
0xe9, 0x5e, 0x4a, 0x5f, 0x73, 0x70, 0x59, 0xdc, 0x60, 0xdf,
|
|
0xc7, 0xad, 0x95, 0xb3, 0xd8, 0x13, 0x95, 0x15, 0x62, 0x0c,
|
|
},
|
|
.b = {
|
|
0x7a, 0x55, 0x6b, 0x6d, 0xae, 0x53, 0x5b, 0x7b, 0x51, 0xed,
|
|
0x2c, 0x4d, 0x7d, 0xaa, 0x7a, 0x0b, 0x5c, 0x55, 0xf3, 0x80,
|
|
},
|
|
.x = {
|
|
0xb1, 0x99, 0xb1, 0x3b, 0x9b, 0x34, 0xef, 0xc1, 0x39, 0x7e,
|
|
0x64, 0xba, 0xeb, 0x05, 0xac, 0xc2, 0x65, 0xff, 0x23, 0x78,
|
|
},
|
|
.y = {
|
|
0xad, 0xd6, 0x71, 0x8b, 0x7c, 0x7c, 0x19, 0x61, 0xf0, 0x99,
|
|
0x1b, 0x84, 0x24, 0x43, 0x77, 0x21, 0x52, 0xc9, 0xe0, 0xad,
|
|
},
|
|
.order = {
|
|
0xe9, 0x5e, 0x4a, 0x5f, 0x73, 0x70, 0x59, 0xdc, 0x60, 0xdf,
|
|
0x59, 0x91, 0xd4, 0x50, 0x29, 0x40, 0x9e, 0x60, 0xfc, 0x09,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[24];
|
|
uint8_t a[24];
|
|
uint8_t b[24];
|
|
uint8_t x[24];
|
|
uint8_t y[24];
|
|
uint8_t order[24];
|
|
} _EC_brainpoolP192r1 = {
|
|
.p = {
|
|
0xc3, 0x02, 0xf4, 0x1d, 0x93, 0x2a, 0x36, 0xcd, 0xa7, 0xa3,
|
|
0x46, 0x30, 0x93, 0xd1, 0x8d, 0xb7, 0x8f, 0xce, 0x47, 0x6d,
|
|
0xe1, 0xa8, 0x62, 0x97,
|
|
},
|
|
.a = {
|
|
0x6a, 0x91, 0x17, 0x40, 0x76, 0xb1, 0xe0, 0xe1, 0x9c, 0x39,
|
|
0xc0, 0x31, 0xfe, 0x86, 0x85, 0xc1, 0xca, 0xe0, 0x40, 0xe5,
|
|
0xc6, 0x9a, 0x28, 0xef,
|
|
},
|
|
.b = {
|
|
0x46, 0x9a, 0x28, 0xef, 0x7c, 0x28, 0xcc, 0xa3, 0xdc, 0x72,
|
|
0x1d, 0x04, 0x4f, 0x44, 0x96, 0xbc, 0xca, 0x7e, 0xf4, 0x14,
|
|
0x6f, 0xbf, 0x25, 0xc9,
|
|
},
|
|
.x = {
|
|
0xc0, 0xa0, 0x64, 0x7e, 0xaa, 0xb6, 0xa4, 0x87, 0x53, 0xb0,
|
|
0x33, 0xc5, 0x6c, 0xb0, 0xf0, 0x90, 0x0a, 0x2f, 0x5c, 0x48,
|
|
0x53, 0x37, 0x5f, 0xd6,
|
|
},
|
|
.y = {
|
|
0x14, 0xb6, 0x90, 0x86, 0x6a, 0xbd, 0x5b, 0xb8, 0x8b, 0x5f,
|
|
0x48, 0x28, 0xc1, 0x49, 0x00, 0x02, 0xe6, 0x77, 0x3f, 0xa2,
|
|
0xfa, 0x29, 0x9b, 0x8f,
|
|
},
|
|
.order = {
|
|
0xc3, 0x02, 0xf4, 0x1d, 0x93, 0x2a, 0x36, 0xcd, 0xa7, 0xa3,
|
|
0x46, 0x2f, 0x9e, 0x9e, 0x91, 0x6b, 0x5b, 0xe8, 0xf1, 0x02,
|
|
0x9a, 0xc4, 0xac, 0xc1,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[24];
|
|
uint8_t a[24];
|
|
uint8_t b[24];
|
|
uint8_t x[24];
|
|
uint8_t y[24];
|
|
uint8_t order[24];
|
|
} _EC_brainpoolP192t1 = {
|
|
.p = {
|
|
0xc3, 0x02, 0xf4, 0x1d, 0x93, 0x2a, 0x36, 0xcd, 0xa7, 0xa3,
|
|
0x46, 0x30, 0x93, 0xd1, 0x8d, 0xb7, 0x8f, 0xce, 0x47, 0x6d,
|
|
0xe1, 0xa8, 0x62, 0x97,
|
|
},
|
|
.a = {
|
|
0xc3, 0x02, 0xf4, 0x1d, 0x93, 0x2a, 0x36, 0xcd, 0xa7, 0xa3,
|
|
0x46, 0x30, 0x93, 0xd1, 0x8d, 0xb7, 0x8f, 0xce, 0x47, 0x6d,
|
|
0xe1, 0xa8, 0x62, 0x94,
|
|
},
|
|
.b = {
|
|
0x13, 0xd5, 0x6f, 0xfa, 0xec, 0x78, 0x68, 0x1e, 0x68, 0xf9,
|
|
0xde, 0xb4, 0x3b, 0x35, 0xbe, 0xc2, 0xfb, 0x68, 0x54, 0x2e,
|
|
0x27, 0x89, 0x7b, 0x79,
|
|
},
|
|
.x = {
|
|
0x3a, 0xe9, 0xe5, 0x8c, 0x82, 0xf6, 0x3c, 0x30, 0x28, 0x2e,
|
|
0x1f, 0xe7, 0xbb, 0xf4, 0x3f, 0xa7, 0x2c, 0x44, 0x6a, 0xf6,
|
|
0xf4, 0x61, 0x81, 0x29,
|
|
},
|
|
.y = {
|
|
0x09, 0x7e, 0x2c, 0x56, 0x67, 0xc2, 0x22, 0x3a, 0x90, 0x2a,
|
|
0xb5, 0xca, 0x44, 0x9d, 0x00, 0x84, 0xb7, 0xe5, 0xb3, 0xde,
|
|
0x7c, 0xcc, 0x01, 0xc9,
|
|
},
|
|
.order = {
|
|
0xc3, 0x02, 0xf4, 0x1d, 0x93, 0x2a, 0x36, 0xcd, 0xa7, 0xa3,
|
|
0x46, 0x2f, 0x9e, 0x9e, 0x91, 0x6b, 0x5b, 0xe8, 0xf1, 0x02,
|
|
0x9a, 0xc4, 0xac, 0xc1,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[28];
|
|
uint8_t a[28];
|
|
uint8_t b[28];
|
|
uint8_t x[28];
|
|
uint8_t y[28];
|
|
uint8_t order[28];
|
|
} _EC_brainpoolP224r1 = {
|
|
.p = {
|
|
0xd7, 0xc1, 0x34, 0xaa, 0x26, 0x43, 0x66, 0x86, 0x2a, 0x18,
|
|
0x30, 0x25, 0x75, 0xd1, 0xd7, 0x87, 0xb0, 0x9f, 0x07, 0x57,
|
|
0x97, 0xda, 0x89, 0xf5, 0x7e, 0xc8, 0xc0, 0xff,
|
|
},
|
|
.a = {
|
|
0x68, 0xa5, 0xe6, 0x2c, 0xa9, 0xce, 0x6c, 0x1c, 0x29, 0x98,
|
|
0x03, 0xa6, 0xc1, 0x53, 0x0b, 0x51, 0x4e, 0x18, 0x2a, 0xd8,
|
|
0xb0, 0x04, 0x2a, 0x59, 0xca, 0xd2, 0x9f, 0x43,
|
|
},
|
|
.b = {
|
|
0x25, 0x80, 0xf6, 0x3c, 0xcf, 0xe4, 0x41, 0x38, 0x87, 0x07,
|
|
0x13, 0xb1, 0xa9, 0x23, 0x69, 0xe3, 0x3e, 0x21, 0x35, 0xd2,
|
|
0x66, 0xdb, 0xb3, 0x72, 0x38, 0x6c, 0x40, 0x0b,
|
|
},
|
|
.x = {
|
|
0x0d, 0x90, 0x29, 0xad, 0x2c, 0x7e, 0x5c, 0xf4, 0x34, 0x08,
|
|
0x23, 0xb2, 0xa8, 0x7d, 0xc6, 0x8c, 0x9e, 0x4c, 0xe3, 0x17,
|
|
0x4c, 0x1e, 0x6e, 0xfd, 0xee, 0x12, 0xc0, 0x7d,
|
|
},
|
|
.y = {
|
|
0x58, 0xaa, 0x56, 0xf7, 0x72, 0xc0, 0x72, 0x6f, 0x24, 0xc6,
|
|
0xb8, 0x9e, 0x4e, 0xcd, 0xac, 0x24, 0x35, 0x4b, 0x9e, 0x99,
|
|
0xca, 0xa3, 0xf6, 0xd3, 0x76, 0x14, 0x02, 0xcd,
|
|
},
|
|
.order = {
|
|
0xd7, 0xc1, 0x34, 0xaa, 0x26, 0x43, 0x66, 0x86, 0x2a, 0x18,
|
|
0x30, 0x25, 0x75, 0xd0, 0xfb, 0x98, 0xd1, 0x16, 0xbc, 0x4b,
|
|
0x6d, 0xde, 0xbc, 0xa3, 0xa5, 0xa7, 0x93, 0x9f,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[28];
|
|
uint8_t a[28];
|
|
uint8_t b[28];
|
|
uint8_t x[28];
|
|
uint8_t y[28];
|
|
uint8_t order[28];
|
|
} _EC_brainpoolP224t1 = {
|
|
.p = {
|
|
0xd7, 0xc1, 0x34, 0xaa, 0x26, 0x43, 0x66, 0x86, 0x2a, 0x18,
|
|
0x30, 0x25, 0x75, 0xd1, 0xd7, 0x87, 0xb0, 0x9f, 0x07, 0x57,
|
|
0x97, 0xda, 0x89, 0xf5, 0x7e, 0xc8, 0xc0, 0xff,
|
|
},
|
|
.a = {
|
|
0xd7, 0xc1, 0x34, 0xaa, 0x26, 0x43, 0x66, 0x86, 0x2a, 0x18,
|
|
0x30, 0x25, 0x75, 0xd1, 0xd7, 0x87, 0xb0, 0x9f, 0x07, 0x57,
|
|
0x97, 0xda, 0x89, 0xf5, 0x7e, 0xc8, 0xc0, 0xfc,
|
|
},
|
|
.b = {
|
|
0x4b, 0x33, 0x7d, 0x93, 0x41, 0x04, 0xcd, 0x7b, 0xef, 0x27,
|
|
0x1b, 0xf6, 0x0c, 0xed, 0x1e, 0xd2, 0x0d, 0xa1, 0x4c, 0x08,
|
|
0xb3, 0xbb, 0x64, 0xf1, 0x8a, 0x60, 0x88, 0x8d,
|
|
},
|
|
.x = {
|
|
0x6a, 0xb1, 0xe3, 0x44, 0xce, 0x25, 0xff, 0x38, 0x96, 0x42,
|
|
0x4e, 0x7f, 0xfe, 0x14, 0x76, 0x2e, 0xcb, 0x49, 0xf8, 0x92,
|
|
0x8a, 0xc0, 0xc7, 0x60, 0x29, 0xb4, 0xd5, 0x80,
|
|
},
|
|
.y = {
|
|
0x03, 0x74, 0xe9, 0xf5, 0x14, 0x3e, 0x56, 0x8c, 0xd2, 0x3f,
|
|
0x3f, 0x4d, 0x7c, 0x0d, 0x4b, 0x1e, 0x41, 0xc8, 0xcc, 0x0d,
|
|
0x1c, 0x6a, 0xbd, 0x5f, 0x1a, 0x46, 0xdb, 0x4c,
|
|
},
|
|
.order = {
|
|
0xd7, 0xc1, 0x34, 0xaa, 0x26, 0x43, 0x66, 0x86, 0x2a, 0x18,
|
|
0x30, 0x25, 0x75, 0xd0, 0xfb, 0x98, 0xd1, 0x16, 0xbc, 0x4b,
|
|
0x6d, 0xde, 0xbc, 0xa3, 0xa5, 0xa7, 0x93, 0x9f,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_brainpoolP256r1 = {
|
|
.p = {
|
|
0xa9, 0xfb, 0x57, 0xdb, 0xa1, 0xee, 0xa9, 0xbc, 0x3e, 0x66,
|
|
0x0a, 0x90, 0x9d, 0x83, 0x8d, 0x72, 0x6e, 0x3b, 0xf6, 0x23,
|
|
0xd5, 0x26, 0x20, 0x28, 0x20, 0x13, 0x48, 0x1d, 0x1f, 0x6e,
|
|
0x53, 0x77,
|
|
},
|
|
.a = {
|
|
0x7d, 0x5a, 0x09, 0x75, 0xfc, 0x2c, 0x30, 0x57, 0xee, 0xf6,
|
|
0x75, 0x30, 0x41, 0x7a, 0xff, 0xe7, 0xfb, 0x80, 0x55, 0xc1,
|
|
0x26, 0xdc, 0x5c, 0x6c, 0xe9, 0x4a, 0x4b, 0x44, 0xf3, 0x30,
|
|
0xb5, 0xd9,
|
|
},
|
|
.b = {
|
|
0x26, 0xdc, 0x5c, 0x6c, 0xe9, 0x4a, 0x4b, 0x44, 0xf3, 0x30,
|
|
0xb5, 0xd9, 0xbb, 0xd7, 0x7c, 0xbf, 0x95, 0x84, 0x16, 0x29,
|
|
0x5c, 0xf7, 0xe1, 0xce, 0x6b, 0xcc, 0xdc, 0x18, 0xff, 0x8c,
|
|
0x07, 0xb6,
|
|
},
|
|
.x = {
|
|
0x8b, 0xd2, 0xae, 0xb9, 0xcb, 0x7e, 0x57, 0xcb, 0x2c, 0x4b,
|
|
0x48, 0x2f, 0xfc, 0x81, 0xb7, 0xaf, 0xb9, 0xde, 0x27, 0xe1,
|
|
0xe3, 0xbd, 0x23, 0xc2, 0x3a, 0x44, 0x53, 0xbd, 0x9a, 0xce,
|
|
0x32, 0x62,
|
|
},
|
|
.y = {
|
|
0x54, 0x7e, 0xf8, 0x35, 0xc3, 0xda, 0xc4, 0xfd, 0x97, 0xf8,
|
|
0x46, 0x1a, 0x14, 0x61, 0x1d, 0xc9, 0xc2, 0x77, 0x45, 0x13,
|
|
0x2d, 0xed, 0x8e, 0x54, 0x5c, 0x1d, 0x54, 0xc7, 0x2f, 0x04,
|
|
0x69, 0x97,
|
|
},
|
|
.order = {
|
|
0xa9, 0xfb, 0x57, 0xdb, 0xa1, 0xee, 0xa9, 0xbc, 0x3e, 0x66,
|
|
0x0a, 0x90, 0x9d, 0x83, 0x8d, 0x71, 0x8c, 0x39, 0x7a, 0xa3,
|
|
0xb5, 0x61, 0xa6, 0xf7, 0x90, 0x1e, 0x0e, 0x82, 0x97, 0x48,
|
|
0x56, 0xa7,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_brainpoolP256t1 = {
|
|
.p = {
|
|
0xa9, 0xfb, 0x57, 0xdb, 0xa1, 0xee, 0xa9, 0xbc, 0x3e, 0x66,
|
|
0x0a, 0x90, 0x9d, 0x83, 0x8d, 0x72, 0x6e, 0x3b, 0xf6, 0x23,
|
|
0xd5, 0x26, 0x20, 0x28, 0x20, 0x13, 0x48, 0x1d, 0x1f, 0x6e,
|
|
0x53, 0x77,
|
|
},
|
|
.a = {
|
|
0xa9, 0xfb, 0x57, 0xdb, 0xa1, 0xee, 0xa9, 0xbc, 0x3e, 0x66,
|
|
0x0a, 0x90, 0x9d, 0x83, 0x8d, 0x72, 0x6e, 0x3b, 0xf6, 0x23,
|
|
0xd5, 0x26, 0x20, 0x28, 0x20, 0x13, 0x48, 0x1d, 0x1f, 0x6e,
|
|
0x53, 0x74,
|
|
},
|
|
.b = {
|
|
0x66, 0x2c, 0x61, 0xc4, 0x30, 0xd8, 0x4e, 0xa4, 0xfe, 0x66,
|
|
0xa7, 0x73, 0x3d, 0x0b, 0x76, 0xb7, 0xbf, 0x93, 0xeb, 0xc4,
|
|
0xaf, 0x2f, 0x49, 0x25, 0x6a, 0xe5, 0x81, 0x01, 0xfe, 0xe9,
|
|
0x2b, 0x04,
|
|
},
|
|
.x = {
|
|
0xa3, 0xe8, 0xeb, 0x3c, 0xc1, 0xcf, 0xe7, 0xb7, 0x73, 0x22,
|
|
0x13, 0xb2, 0x3a, 0x65, 0x61, 0x49, 0xaf, 0xa1, 0x42, 0xc4,
|
|
0x7a, 0xaf, 0xbc, 0x2b, 0x79, 0xa1, 0x91, 0x56, 0x2e, 0x13,
|
|
0x05, 0xf4,
|
|
},
|
|
.y = {
|
|
0x2d, 0x99, 0x6c, 0x82, 0x34, 0x39, 0xc5, 0x6d, 0x7f, 0x7b,
|
|
0x22, 0xe1, 0x46, 0x44, 0x41, 0x7e, 0x69, 0xbc, 0xb6, 0xde,
|
|
0x39, 0xd0, 0x27, 0x00, 0x1d, 0xab, 0xe8, 0xf3, 0x5b, 0x25,
|
|
0xc9, 0xbe,
|
|
},
|
|
.order = {
|
|
0xa9, 0xfb, 0x57, 0xdb, 0xa1, 0xee, 0xa9, 0xbc, 0x3e, 0x66,
|
|
0x0a, 0x90, 0x9d, 0x83, 0x8d, 0x71, 0x8c, 0x39, 0x7a, 0xa3,
|
|
0xb5, 0x61, 0xa6, 0xf7, 0x90, 0x1e, 0x0e, 0x82, 0x97, 0x48,
|
|
0x56, 0xa7,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[40];
|
|
uint8_t a[40];
|
|
uint8_t b[40];
|
|
uint8_t x[40];
|
|
uint8_t y[40];
|
|
uint8_t order[40];
|
|
} _EC_brainpoolP320r1 = {
|
|
.p = {
|
|
0xd3, 0x5e, 0x47, 0x20, 0x36, 0xbc, 0x4f, 0xb7, 0xe1, 0x3c,
|
|
0x78, 0x5e, 0xd2, 0x01, 0xe0, 0x65, 0xf9, 0x8f, 0xcf, 0xa6,
|
|
0xf6, 0xf4, 0x0d, 0xef, 0x4f, 0x92, 0xb9, 0xec, 0x78, 0x93,
|
|
0xec, 0x28, 0xfc, 0xd4, 0x12, 0xb1, 0xf1, 0xb3, 0x2e, 0x27,
|
|
},
|
|
.a = {
|
|
0x3e, 0xe3, 0x0b, 0x56, 0x8f, 0xba, 0xb0, 0xf8, 0x83, 0xcc,
|
|
0xeb, 0xd4, 0x6d, 0x3f, 0x3b, 0xb8, 0xa2, 0xa7, 0x35, 0x13,
|
|
0xf5, 0xeb, 0x79, 0xda, 0x66, 0x19, 0x0e, 0xb0, 0x85, 0xff,
|
|
0xa9, 0xf4, 0x92, 0xf3, 0x75, 0xa9, 0x7d, 0x86, 0x0e, 0xb4,
|
|
},
|
|
.b = {
|
|
0x52, 0x08, 0x83, 0x94, 0x9d, 0xfd, 0xbc, 0x42, 0xd3, 0xad,
|
|
0x19, 0x86, 0x40, 0x68, 0x8a, 0x6f, 0xe1, 0x3f, 0x41, 0x34,
|
|
0x95, 0x54, 0xb4, 0x9a, 0xcc, 0x31, 0xdc, 0xcd, 0x88, 0x45,
|
|
0x39, 0x81, 0x6f, 0x5e, 0xb4, 0xac, 0x8f, 0xb1, 0xf1, 0xa6,
|
|
},
|
|
.x = {
|
|
0x43, 0xbd, 0x7e, 0x9a, 0xfb, 0x53, 0xd8, 0xb8, 0x52, 0x89,
|
|
0xbc, 0xc4, 0x8e, 0xe5, 0xbf, 0xe6, 0xf2, 0x01, 0x37, 0xd1,
|
|
0x0a, 0x08, 0x7e, 0xb6, 0xe7, 0x87, 0x1e, 0x2a, 0x10, 0xa5,
|
|
0x99, 0xc7, 0x10, 0xaf, 0x8d, 0x0d, 0x39, 0xe2, 0x06, 0x11,
|
|
},
|
|
.y = {
|
|
0x14, 0xfd, 0xd0, 0x55, 0x45, 0xec, 0x1c, 0xc8, 0xab, 0x40,
|
|
0x93, 0x24, 0x7f, 0x77, 0x27, 0x5e, 0x07, 0x43, 0xff, 0xed,
|
|
0x11, 0x71, 0x82, 0xea, 0xa9, 0xc7, 0x78, 0x77, 0xaa, 0xac,
|
|
0x6a, 0xc7, 0xd3, 0x52, 0x45, 0xd1, 0x69, 0x2e, 0x8e, 0xe1,
|
|
},
|
|
.order = {
|
|
0xd3, 0x5e, 0x47, 0x20, 0x36, 0xbc, 0x4f, 0xb7, 0xe1, 0x3c,
|
|
0x78, 0x5e, 0xd2, 0x01, 0xe0, 0x65, 0xf9, 0x8f, 0xcf, 0xa5,
|
|
0xb6, 0x8f, 0x12, 0xa3, 0x2d, 0x48, 0x2e, 0xc7, 0xee, 0x86,
|
|
0x58, 0xe9, 0x86, 0x91, 0x55, 0x5b, 0x44, 0xc5, 0x93, 0x11,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[40];
|
|
uint8_t a[40];
|
|
uint8_t b[40];
|
|
uint8_t x[40];
|
|
uint8_t y[40];
|
|
uint8_t order[40];
|
|
} _EC_brainpoolP320t1 = {
|
|
.p = {
|
|
0xd3, 0x5e, 0x47, 0x20, 0x36, 0xbc, 0x4f, 0xb7, 0xe1, 0x3c,
|
|
0x78, 0x5e, 0xd2, 0x01, 0xe0, 0x65, 0xf9, 0x8f, 0xcf, 0xa6,
|
|
0xf6, 0xf4, 0x0d, 0xef, 0x4f, 0x92, 0xb9, 0xec, 0x78, 0x93,
|
|
0xec, 0x28, 0xfc, 0xd4, 0x12, 0xb1, 0xf1, 0xb3, 0x2e, 0x27,
|
|
},
|
|
.a = {
|
|
0xd3, 0x5e, 0x47, 0x20, 0x36, 0xbc, 0x4f, 0xb7, 0xe1, 0x3c,
|
|
0x78, 0x5e, 0xd2, 0x01, 0xe0, 0x65, 0xf9, 0x8f, 0xcf, 0xa6,
|
|
0xf6, 0xf4, 0x0d, 0xef, 0x4f, 0x92, 0xb9, 0xec, 0x78, 0x93,
|
|
0xec, 0x28, 0xfc, 0xd4, 0x12, 0xb1, 0xf1, 0xb3, 0x2e, 0x24,
|
|
},
|
|
.b = {
|
|
0xa7, 0xf5, 0x61, 0xe0, 0x38, 0xeb, 0x1e, 0xd5, 0x60, 0xb3,
|
|
0xd1, 0x47, 0xdb, 0x78, 0x20, 0x13, 0x06, 0x4c, 0x19, 0xf2,
|
|
0x7e, 0xd2, 0x7c, 0x67, 0x80, 0xaa, 0xf7, 0x7f, 0xb8, 0xa5,
|
|
0x47, 0xce, 0xb5, 0xb4, 0xfe, 0xf4, 0x22, 0x34, 0x03, 0x53,
|
|
},
|
|
.x = {
|
|
0x92, 0x5b, 0xe9, 0xfb, 0x01, 0xaf, 0xc6, 0xfb, 0x4d, 0x3e,
|
|
0x7d, 0x49, 0x90, 0x01, 0x0f, 0x81, 0x34, 0x08, 0xab, 0x10,
|
|
0x6c, 0x4f, 0x09, 0xcb, 0x7e, 0xe0, 0x78, 0x68, 0xcc, 0x13,
|
|
0x6f, 0xff, 0x33, 0x57, 0xf6, 0x24, 0xa2, 0x1b, 0xed, 0x52,
|
|
},
|
|
.y = {
|
|
0x63, 0xba, 0x3a, 0x7a, 0x27, 0x48, 0x3e, 0xbf, 0x66, 0x71,
|
|
0xdb, 0xef, 0x7a, 0xbb, 0x30, 0xeb, 0xee, 0x08, 0x4e, 0x58,
|
|
0xa0, 0xb0, 0x77, 0xad, 0x42, 0xa5, 0xa0, 0x98, 0x9d, 0x1e,
|
|
0xe7, 0x1b, 0x1b, 0x9b, 0xc0, 0x45, 0x5f, 0xb0, 0xd2, 0xc3,
|
|
},
|
|
.order = {
|
|
0xd3, 0x5e, 0x47, 0x20, 0x36, 0xbc, 0x4f, 0xb7, 0xe1, 0x3c,
|
|
0x78, 0x5e, 0xd2, 0x01, 0xe0, 0x65, 0xf9, 0x8f, 0xcf, 0xa5,
|
|
0xb6, 0x8f, 0x12, 0xa3, 0x2d, 0x48, 0x2e, 0xc7, 0xee, 0x86,
|
|
0x58, 0xe9, 0x86, 0x91, 0x55, 0x5b, 0x44, 0xc5, 0x93, 0x11,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[48];
|
|
uint8_t a[48];
|
|
uint8_t b[48];
|
|
uint8_t x[48];
|
|
uint8_t y[48];
|
|
uint8_t order[48];
|
|
} _EC_brainpoolP384r1 = {
|
|
.p = {
|
|
0x8c, 0xb9, 0x1e, 0x82, 0xa3, 0x38, 0x6d, 0x28, 0x0f, 0x5d,
|
|
0x6f, 0x7e, 0x50, 0xe6, 0x41, 0xdf, 0x15, 0x2f, 0x71, 0x09,
|
|
0xed, 0x54, 0x56, 0xb4, 0x12, 0xb1, 0xda, 0x19, 0x7f, 0xb7,
|
|
0x11, 0x23, 0xac, 0xd3, 0xa7, 0x29, 0x90, 0x1d, 0x1a, 0x71,
|
|
0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xec, 0x53,
|
|
},
|
|
.a = {
|
|
0x7b, 0xc3, 0x82, 0xc6, 0x3d, 0x8c, 0x15, 0x0c, 0x3c, 0x72,
|
|
0x08, 0x0a, 0xce, 0x05, 0xaf, 0xa0, 0xc2, 0xbe, 0xa2, 0x8e,
|
|
0x4f, 0xb2, 0x27, 0x87, 0x13, 0x91, 0x65, 0xef, 0xba, 0x91,
|
|
0xf9, 0x0f, 0x8a, 0xa5, 0x81, 0x4a, 0x50, 0x3a, 0xd4, 0xeb,
|
|
0x04, 0xa8, 0xc7, 0xdd, 0x22, 0xce, 0x28, 0x26,
|
|
},
|
|
.b = {
|
|
0x04, 0xa8, 0xc7, 0xdd, 0x22, 0xce, 0x28, 0x26, 0x8b, 0x39,
|
|
0xb5, 0x54, 0x16, 0xf0, 0x44, 0x7c, 0x2f, 0xb7, 0x7d, 0xe1,
|
|
0x07, 0xdc, 0xd2, 0xa6, 0x2e, 0x88, 0x0e, 0xa5, 0x3e, 0xeb,
|
|
0x62, 0xd5, 0x7c, 0xb4, 0x39, 0x02, 0x95, 0xdb, 0xc9, 0x94,
|
|
0x3a, 0xb7, 0x86, 0x96, 0xfa, 0x50, 0x4c, 0x11,
|
|
},
|
|
.x = {
|
|
0x1d, 0x1c, 0x64, 0xf0, 0x68, 0xcf, 0x45, 0xff, 0xa2, 0xa6,
|
|
0x3a, 0x81, 0xb7, 0xc1, 0x3f, 0x6b, 0x88, 0x47, 0xa3, 0xe7,
|
|
0x7e, 0xf1, 0x4f, 0xe3, 0xdb, 0x7f, 0xca, 0xfe, 0x0c, 0xbd,
|
|
0x10, 0xe8, 0xe8, 0x26, 0xe0, 0x34, 0x36, 0xd6, 0x46, 0xaa,
|
|
0xef, 0x87, 0xb2, 0xe2, 0x47, 0xd4, 0xaf, 0x1e,
|
|
},
|
|
.y = {
|
|
0x8a, 0xbe, 0x1d, 0x75, 0x20, 0xf9, 0xc2, 0xa4, 0x5c, 0xb1,
|
|
0xeb, 0x8e, 0x95, 0xcf, 0xd5, 0x52, 0x62, 0xb7, 0x0b, 0x29,
|
|
0xfe, 0xec, 0x58, 0x64, 0xe1, 0x9c, 0x05, 0x4f, 0xf9, 0x91,
|
|
0x29, 0x28, 0x0e, 0x46, 0x46, 0x21, 0x77, 0x91, 0x81, 0x11,
|
|
0x42, 0x82, 0x03, 0x41, 0x26, 0x3c, 0x53, 0x15,
|
|
},
|
|
.order = {
|
|
0x8c, 0xb9, 0x1e, 0x82, 0xa3, 0x38, 0x6d, 0x28, 0x0f, 0x5d,
|
|
0x6f, 0x7e, 0x50, 0xe6, 0x41, 0xdf, 0x15, 0x2f, 0x71, 0x09,
|
|
0xed, 0x54, 0x56, 0xb3, 0x1f, 0x16, 0x6e, 0x6c, 0xac, 0x04,
|
|
0x25, 0xa7, 0xcf, 0x3a, 0xb6, 0xaf, 0x6b, 0x7f, 0xc3, 0x10,
|
|
0x3b, 0x88, 0x32, 0x02, 0xe9, 0x04, 0x65, 0x65,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[48];
|
|
uint8_t a[48];
|
|
uint8_t b[48];
|
|
uint8_t x[48];
|
|
uint8_t y[48];
|
|
uint8_t order[48];
|
|
} _EC_brainpoolP384t1 = {
|
|
.p = {
|
|
0x8c, 0xb9, 0x1e, 0x82, 0xa3, 0x38, 0x6d, 0x28, 0x0f, 0x5d,
|
|
0x6f, 0x7e, 0x50, 0xe6, 0x41, 0xdf, 0x15, 0x2f, 0x71, 0x09,
|
|
0xed, 0x54, 0x56, 0xb4, 0x12, 0xb1, 0xda, 0x19, 0x7f, 0xb7,
|
|
0x11, 0x23, 0xac, 0xd3, 0xa7, 0x29, 0x90, 0x1d, 0x1a, 0x71,
|
|
0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xec, 0x53,
|
|
},
|
|
.a = {
|
|
0x8c, 0xb9, 0x1e, 0x82, 0xa3, 0x38, 0x6d, 0x28, 0x0f, 0x5d,
|
|
0x6f, 0x7e, 0x50, 0xe6, 0x41, 0xdf, 0x15, 0x2f, 0x71, 0x09,
|
|
0xed, 0x54, 0x56, 0xb4, 0x12, 0xb1, 0xda, 0x19, 0x7f, 0xb7,
|
|
0x11, 0x23, 0xac, 0xd3, 0xa7, 0x29, 0x90, 0x1d, 0x1a, 0x71,
|
|
0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xec, 0x50,
|
|
},
|
|
.b = {
|
|
0x7f, 0x51, 0x9e, 0xad, 0xa7, 0xbd, 0xa8, 0x1b, 0xd8, 0x26,
|
|
0xdb, 0xa6, 0x47, 0x91, 0x0f, 0x8c, 0x4b, 0x93, 0x46, 0xed,
|
|
0x8c, 0xcd, 0xc6, 0x4e, 0x4b, 0x1a, 0xbd, 0x11, 0x75, 0x6d,
|
|
0xce, 0x1d, 0x20, 0x74, 0xaa, 0x26, 0x3b, 0x88, 0x80, 0x5c,
|
|
0xed, 0x70, 0x35, 0x5a, 0x33, 0xb4, 0x71, 0xee,
|
|
},
|
|
.x = {
|
|
0x18, 0xde, 0x98, 0xb0, 0x2d, 0xb9, 0xa3, 0x06, 0xf2, 0xaf,
|
|
0xcd, 0x72, 0x35, 0xf7, 0x2a, 0x81, 0x9b, 0x80, 0xab, 0x12,
|
|
0xeb, 0xd6, 0x53, 0x17, 0x24, 0x76, 0xfe, 0xcd, 0x46, 0x2a,
|
|
0xab, 0xff, 0xc4, 0xff, 0x19, 0x1b, 0x94, 0x6a, 0x5f, 0x54,
|
|
0xd8, 0xd0, 0xaa, 0x2f, 0x41, 0x88, 0x08, 0xcc,
|
|
},
|
|
.y = {
|
|
0x25, 0xab, 0x05, 0x69, 0x62, 0xd3, 0x06, 0x51, 0xa1, 0x14,
|
|
0xaf, 0xd2, 0x75, 0x5a, 0xd3, 0x36, 0x74, 0x7f, 0x93, 0x47,
|
|
0x5b, 0x7a, 0x1f, 0xca, 0x3b, 0x88, 0xf2, 0xb6, 0xa2, 0x08,
|
|
0xcc, 0xfe, 0x46, 0x94, 0x08, 0x58, 0x4d, 0xc2, 0xb2, 0x91,
|
|
0x26, 0x75, 0xbf, 0x5b, 0x9e, 0x58, 0x29, 0x28,
|
|
},
|
|
.order = {
|
|
0x8c, 0xb9, 0x1e, 0x82, 0xa3, 0x38, 0x6d, 0x28, 0x0f, 0x5d,
|
|
0x6f, 0x7e, 0x50, 0xe6, 0x41, 0xdf, 0x15, 0x2f, 0x71, 0x09,
|
|
0xed, 0x54, 0x56, 0xb3, 0x1f, 0x16, 0x6e, 0x6c, 0xac, 0x04,
|
|
0x25, 0xa7, 0xcf, 0x3a, 0xb6, 0xaf, 0x6b, 0x7f, 0xc3, 0x10,
|
|
0x3b, 0x88, 0x32, 0x02, 0xe9, 0x04, 0x65, 0x65,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_brainpoolP512r1 = {
|
|
.p = {
|
|
0xaa, 0xdd, 0x9d, 0xb8, 0xdb, 0xe9, 0xc4, 0x8b, 0x3f, 0xd4,
|
|
0xe6, 0xae, 0x33, 0xc9, 0xfc, 0x07, 0xcb, 0x30, 0x8d, 0xb3,
|
|
0xb3, 0xc9, 0xd2, 0x0e, 0xd6, 0x63, 0x9c, 0xca, 0x70, 0x33,
|
|
0x08, 0x71, 0x7d, 0x4d, 0x9b, 0x00, 0x9b, 0xc6, 0x68, 0x42,
|
|
0xae, 0xcd, 0xa1, 0x2a, 0xe6, 0xa3, 0x80, 0xe6, 0x28, 0x81,
|
|
0xff, 0x2f, 0x2d, 0x82, 0xc6, 0x85, 0x28, 0xaa, 0x60, 0x56,
|
|
0x58, 0x3a, 0x48, 0xf3,
|
|
},
|
|
.a = {
|
|
0x78, 0x30, 0xa3, 0x31, 0x8b, 0x60, 0x3b, 0x89, 0xe2, 0x32,
|
|
0x71, 0x45, 0xac, 0x23, 0x4c, 0xc5, 0x94, 0xcb, 0xdd, 0x8d,
|
|
0x3d, 0xf9, 0x16, 0x10, 0xa8, 0x34, 0x41, 0xca, 0xea, 0x98,
|
|
0x63, 0xbc, 0x2d, 0xed, 0x5d, 0x5a, 0xa8, 0x25, 0x3a, 0xa1,
|
|
0x0a, 0x2e, 0xf1, 0xc9, 0x8b, 0x9a, 0xc8, 0xb5, 0x7f, 0x11,
|
|
0x17, 0xa7, 0x2b, 0xf2, 0xc7, 0xb9, 0xe7, 0xc1, 0xac, 0x4d,
|
|
0x77, 0xfc, 0x94, 0xca,
|
|
},
|
|
.b = {
|
|
0x3d, 0xf9, 0x16, 0x10, 0xa8, 0x34, 0x41, 0xca, 0xea, 0x98,
|
|
0x63, 0xbc, 0x2d, 0xed, 0x5d, 0x5a, 0xa8, 0x25, 0x3a, 0xa1,
|
|
0x0a, 0x2e, 0xf1, 0xc9, 0x8b, 0x9a, 0xc8, 0xb5, 0x7f, 0x11,
|
|
0x17, 0xa7, 0x2b, 0xf2, 0xc7, 0xb9, 0xe7, 0xc1, 0xac, 0x4d,
|
|
0x77, 0xfc, 0x94, 0xca, 0xdc, 0x08, 0x3e, 0x67, 0x98, 0x40,
|
|
0x50, 0xb7, 0x5e, 0xba, 0xe5, 0xdd, 0x28, 0x09, 0xbd, 0x63,
|
|
0x80, 0x16, 0xf7, 0x23,
|
|
},
|
|
.x = {
|
|
0x81, 0xae, 0xe4, 0xbd, 0xd8, 0x2e, 0xd9, 0x64, 0x5a, 0x21,
|
|
0x32, 0x2e, 0x9c, 0x4c, 0x6a, 0x93, 0x85, 0xed, 0x9f, 0x70,
|
|
0xb5, 0xd9, 0x16, 0xc1, 0xb4, 0x3b, 0x62, 0xee, 0xf4, 0xd0,
|
|
0x09, 0x8e, 0xff, 0x3b, 0x1f, 0x78, 0xe2, 0xd0, 0xd4, 0x8d,
|
|
0x50, 0xd1, 0x68, 0x7b, 0x93, 0xb9, 0x7d, 0x5f, 0x7c, 0x6d,
|
|
0x50, 0x47, 0x40, 0x6a, 0x5e, 0x68, 0x8b, 0x35, 0x22, 0x09,
|
|
0xbc, 0xb9, 0xf8, 0x22,
|
|
},
|
|
.y = {
|
|
0x7d, 0xde, 0x38, 0x5d, 0x56, 0x63, 0x32, 0xec, 0xc0, 0xea,
|
|
0xbf, 0xa9, 0xcf, 0x78, 0x22, 0xfd, 0xf2, 0x09, 0xf7, 0x00,
|
|
0x24, 0xa5, 0x7b, 0x1a, 0xa0, 0x00, 0xc5, 0x5b, 0x88, 0x1f,
|
|
0x81, 0x11, 0xb2, 0xdc, 0xde, 0x49, 0x4a, 0x5f, 0x48, 0x5e,
|
|
0x5b, 0xca, 0x4b, 0xd8, 0x8a, 0x27, 0x63, 0xae, 0xd1, 0xca,
|
|
0x2b, 0x2f, 0xa8, 0xf0, 0x54, 0x06, 0x78, 0xcd, 0x1e, 0x0f,
|
|
0x3a, 0xd8, 0x08, 0x92,
|
|
},
|
|
.order = {
|
|
0xaa, 0xdd, 0x9d, 0xb8, 0xdb, 0xe9, 0xc4, 0x8b, 0x3f, 0xd4,
|
|
0xe6, 0xae, 0x33, 0xc9, 0xfc, 0x07, 0xcb, 0x30, 0x8d, 0xb3,
|
|
0xb3, 0xc9, 0xd2, 0x0e, 0xd6, 0x63, 0x9c, 0xca, 0x70, 0x33,
|
|
0x08, 0x70, 0x55, 0x3e, 0x5c, 0x41, 0x4c, 0xa9, 0x26, 0x19,
|
|
0x41, 0x86, 0x61, 0x19, 0x7f, 0xac, 0x10, 0x47, 0x1d, 0xb1,
|
|
0xd3, 0x81, 0x08, 0x5d, 0xda, 0xdd, 0xb5, 0x87, 0x96, 0x82,
|
|
0x9c, 0xa9, 0x00, 0x69,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_brainpoolP512t1 = {
|
|
.p = {
|
|
0xaa, 0xdd, 0x9d, 0xb8, 0xdb, 0xe9, 0xc4, 0x8b, 0x3f, 0xd4,
|
|
0xe6, 0xae, 0x33, 0xc9, 0xfc, 0x07, 0xcb, 0x30, 0x8d, 0xb3,
|
|
0xb3, 0xc9, 0xd2, 0x0e, 0xd6, 0x63, 0x9c, 0xca, 0x70, 0x33,
|
|
0x08, 0x71, 0x7d, 0x4d, 0x9b, 0x00, 0x9b, 0xc6, 0x68, 0x42,
|
|
0xae, 0xcd, 0xa1, 0x2a, 0xe6, 0xa3, 0x80, 0xe6, 0x28, 0x81,
|
|
0xff, 0x2f, 0x2d, 0x82, 0xc6, 0x85, 0x28, 0xaa, 0x60, 0x56,
|
|
0x58, 0x3a, 0x48, 0xf3,
|
|
},
|
|
.a = {
|
|
0xaa, 0xdd, 0x9d, 0xb8, 0xdb, 0xe9, 0xc4, 0x8b, 0x3f, 0xd4,
|
|
0xe6, 0xae, 0x33, 0xc9, 0xfc, 0x07, 0xcb, 0x30, 0x8d, 0xb3,
|
|
0xb3, 0xc9, 0xd2, 0x0e, 0xd6, 0x63, 0x9c, 0xca, 0x70, 0x33,
|
|
0x08, 0x71, 0x7d, 0x4d, 0x9b, 0x00, 0x9b, 0xc6, 0x68, 0x42,
|
|
0xae, 0xcd, 0xa1, 0x2a, 0xe6, 0xa3, 0x80, 0xe6, 0x28, 0x81,
|
|
0xff, 0x2f, 0x2d, 0x82, 0xc6, 0x85, 0x28, 0xaa, 0x60, 0x56,
|
|
0x58, 0x3a, 0x48, 0xf0,
|
|
},
|
|
.b = {
|
|
0x7c, 0xbb, 0xbc, 0xf9, 0x44, 0x1c, 0xfa, 0xb7, 0x6e, 0x18,
|
|
0x90, 0xe4, 0x68, 0x84, 0xea, 0xe3, 0x21, 0xf7, 0x0c, 0x0b,
|
|
0xcb, 0x49, 0x81, 0x52, 0x78, 0x97, 0x50, 0x4b, 0xec, 0x3e,
|
|
0x36, 0xa6, 0x2b, 0xcd, 0xfa, 0x23, 0x04, 0x97, 0x65, 0x40,
|
|
0xf6, 0x45, 0x00, 0x85, 0xf2, 0xda, 0xe1, 0x45, 0xc2, 0x25,
|
|
0x53, 0xb4, 0x65, 0x76, 0x36, 0x89, 0x18, 0x0e, 0xa2, 0x57,
|
|
0x18, 0x67, 0x42, 0x3e,
|
|
},
|
|
.x = {
|
|
0x64, 0x0e, 0xce, 0x5c, 0x12, 0x78, 0x87, 0x17, 0xb9, 0xc1,
|
|
0xba, 0x06, 0xcb, 0xc2, 0xa6, 0xfe, 0xba, 0x85, 0x84, 0x24,
|
|
0x58, 0xc5, 0x6d, 0xde, 0x9d, 0xb1, 0x75, 0x8d, 0x39, 0xc0,
|
|
0x31, 0x3d, 0x82, 0xba, 0x51, 0x73, 0x5c, 0xdb, 0x3e, 0xa4,
|
|
0x99, 0xaa, 0x77, 0xa7, 0xd6, 0x94, 0x3a, 0x64, 0xf7, 0xa3,
|
|
0xf2, 0x5f, 0xe2, 0x6f, 0x06, 0xb5, 0x1b, 0xaa, 0x26, 0x96,
|
|
0xfa, 0x90, 0x35, 0xda,
|
|
},
|
|
.y = {
|
|
0x5b, 0x53, 0x4b, 0xd5, 0x95, 0xf5, 0xaf, 0x0f, 0xa2, 0xc8,
|
|
0x92, 0x37, 0x6c, 0x84, 0xac, 0xe1, 0xbb, 0x4e, 0x30, 0x19,
|
|
0xb7, 0x16, 0x34, 0xc0, 0x11, 0x31, 0x15, 0x9c, 0xae, 0x03,
|
|
0xce, 0xe9, 0xd9, 0x93, 0x21, 0x84, 0xbe, 0xef, 0x21, 0x6b,
|
|
0xd7, 0x1d, 0xf2, 0xda, 0xdf, 0x86, 0xa6, 0x27, 0x30, 0x6e,
|
|
0xcf, 0xf9, 0x6d, 0xbb, 0x8b, 0xac, 0xe1, 0x98, 0xb6, 0x1e,
|
|
0x00, 0xf8, 0xb3, 0x32,
|
|
},
|
|
.order = {
|
|
0xaa, 0xdd, 0x9d, 0xb8, 0xdb, 0xe9, 0xc4, 0x8b, 0x3f, 0xd4,
|
|
0xe6, 0xae, 0x33, 0xc9, 0xfc, 0x07, 0xcb, 0x30, 0x8d, 0xb3,
|
|
0xb3, 0xc9, 0xd2, 0x0e, 0xd6, 0x63, 0x9c, 0xca, 0x70, 0x33,
|
|
0x08, 0x70, 0x55, 0x3e, 0x5c, 0x41, 0x4c, 0xa9, 0x26, 0x19,
|
|
0x41, 0x86, 0x61, 0x19, 0x7f, 0xac, 0x10, 0x47, 0x1d, 0xb1,
|
|
0xd3, 0x81, 0x08, 0x5d, 0xda, 0xdd, 0xb5, 0x87, 0x96, 0x82,
|
|
0x9c, 0xa9, 0x00, 0x69,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_FRP256v1 = {
|
|
.p = {
|
|
0xf1, 0xfd, 0x17, 0x8c, 0x0b, 0x3a, 0xd5, 0x8f, 0x10, 0x12,
|
|
0x6d, 0xe8, 0xce, 0x42, 0x43, 0x5b, 0x39, 0x61, 0xad, 0xbc,
|
|
0xab, 0xc8, 0xca, 0x6d, 0xe8, 0xfc, 0xf3, 0x53, 0xd8, 0x6e,
|
|
0x9c, 0x03,
|
|
},
|
|
.a = {
|
|
0xf1, 0xfd, 0x17, 0x8c, 0x0b, 0x3a, 0xd5, 0x8f, 0x10, 0x12,
|
|
0x6d, 0xe8, 0xce, 0x42, 0x43, 0x5b, 0x39, 0x61, 0xad, 0xbc,
|
|
0xab, 0xc8, 0xca, 0x6d, 0xe8, 0xfc, 0xf3, 0x53, 0xd8, 0x6e,
|
|
0x9c, 0x00,
|
|
},
|
|
.b = {
|
|
0xee, 0x35, 0x3f, 0xca, 0x54, 0x28, 0xa9, 0x30, 0x0d, 0x4a,
|
|
0xba, 0x75, 0x4a, 0x44, 0xc0, 0x0f, 0xdf, 0xec, 0x0c, 0x9a,
|
|
0xe4, 0xb1, 0xa1, 0x80, 0x30, 0x75, 0xed, 0x96, 0x7b, 0x7b,
|
|
0xb7, 0x3f,
|
|
},
|
|
.x = {
|
|
0xb6, 0xb3, 0xd4, 0xc3, 0x56, 0xc1, 0x39, 0xeb, 0x31, 0x18,
|
|
0x3d, 0x47, 0x49, 0xd4, 0x23, 0x95, 0x8c, 0x27, 0xd2, 0xdc,
|
|
0xaf, 0x98, 0xb7, 0x01, 0x64, 0xc9, 0x7a, 0x2d, 0xd9, 0x8f,
|
|
0x5c, 0xff,
|
|
},
|
|
.y = {
|
|
0x61, 0x42, 0xe0, 0xf7, 0xc8, 0xb2, 0x04, 0x91, 0x1f, 0x92,
|
|
0x71, 0xf0, 0xf3, 0xec, 0xef, 0x8c, 0x27, 0x01, 0xc3, 0x07,
|
|
0xe8, 0xe4, 0xc9, 0xe1, 0x83, 0x11, 0x5a, 0x15, 0x54, 0x06,
|
|
0x2c, 0xfb,
|
|
},
|
|
.order = {
|
|
0xf1, 0xfd, 0x17, 0x8c, 0x0b, 0x3a, 0xd5, 0x8f, 0x10, 0x12,
|
|
0x6d, 0xe8, 0xce, 0x42, 0x43, 0x5b, 0x53, 0xdc, 0x67, 0xe1,
|
|
0x40, 0xd2, 0xbf, 0x94, 0x1f, 0xfd, 0xd4, 0x59, 0xc6, 0xd6,
|
|
0x55, 0xe1,
|
|
},
|
|
};
|
|
|
|
#ifndef OPENSSL_NO_GOST
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_GOST_2001_Test = {
|
|
.p = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x04, 0x31,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x07,
|
|
},
|
|
.b = {
|
|
0x5f, 0xbf, 0xf4, 0x98, 0xaa, 0x93, 0x8c, 0xe7, 0x39, 0xb8,
|
|
0xe0, 0x22, 0xfb, 0xaf, 0xef, 0x40, 0x56, 0x3f, 0x6e, 0x6a,
|
|
0x34, 0x72, 0xfc, 0x2a, 0x51, 0x4c, 0x0c, 0xe9, 0xda, 0xe2,
|
|
0x3b, 0x7e,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x02,
|
|
},
|
|
.y = {
|
|
0x08, 0xe2, 0xa8, 0xa0, 0xe6, 0x51, 0x47, 0xd4, 0xbd, 0x63,
|
|
0x16, 0x03, 0x0e, 0x16, 0xd1, 0x9c, 0x85, 0xc9, 0x7f, 0x0a,
|
|
0x9c, 0xa2, 0x67, 0x12, 0x2b, 0x96, 0xab, 0xbc, 0xea, 0x7e,
|
|
0x8f, 0xc8,
|
|
},
|
|
.order = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x50, 0xfe, 0x8a, 0x18,
|
|
0x92, 0x97, 0x61, 0x54, 0xc5, 0x9c, 0xfc, 0x19, 0x3a, 0xcc,
|
|
0xf5, 0xb3,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_GOST_2001_CryptoPro_A = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xfd, 0x97,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xfd, 0x94,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0xa6,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x01,
|
|
},
|
|
.y = {
|
|
0x8d, 0x91, 0xe4, 0x71, 0xe0, 0x98, 0x9c, 0xda, 0x27, 0xdf,
|
|
0x50, 0x5a, 0x45, 0x3f, 0x2b, 0x76, 0x35, 0x29, 0x4f, 0x2d,
|
|
0xdf, 0x23, 0xe3, 0xb1, 0x22, 0xac, 0xc9, 0x9c, 0x9e, 0x9f,
|
|
0x1e, 0x14,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x6c, 0x61, 0x10, 0x70,
|
|
0x99, 0x5a, 0xd1, 0x00, 0x45, 0x84, 0x1b, 0x09, 0xb7, 0x61,
|
|
0xb8, 0x93,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_GOST_2001_CryptoPro_B = {
|
|
.p = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x0c, 0x99,
|
|
},
|
|
.a = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x0c, 0x96,
|
|
},
|
|
.b = {
|
|
0x3e, 0x1a, 0xf4, 0x19, 0xa2, 0x69, 0xa5, 0xf8, 0x66, 0xa7,
|
|
0xd3, 0xc2, 0x5c, 0x3d, 0xf8, 0x0a, 0xe9, 0x79, 0x25, 0x93,
|
|
0x73, 0xff, 0x2b, 0x18, 0x2f, 0x49, 0xd4, 0xce, 0x7e, 0x1b,
|
|
0xbc, 0x8b,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x01,
|
|
},
|
|
.y = {
|
|
0x3f, 0xa8, 0x12, 0x43, 0x59, 0xf9, 0x66, 0x80, 0xb8, 0x3d,
|
|
0x1c, 0x3e, 0xb2, 0xc0, 0x70, 0xe5, 0xc5, 0x45, 0xc9, 0x85,
|
|
0x8d, 0x03, 0xec, 0xfb, 0x74, 0x4b, 0xf8, 0xd7, 0x17, 0x71,
|
|
0x7e, 0xfc,
|
|
},
|
|
.order = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x5f, 0x70, 0x0c, 0xff,
|
|
0xf1, 0xa6, 0x24, 0xe5, 0xe4, 0x97, 0x16, 0x1b, 0xcc, 0x8a,
|
|
0x19, 0x8f,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_GOST_2001_CryptoPro_C = {
|
|
.p = {
|
|
0x9b, 0x9f, 0x60, 0x5f, 0x5a, 0x85, 0x81, 0x07, 0xab, 0x1e,
|
|
0xc8, 0x5e, 0x6b, 0x41, 0xc8, 0xaa, 0xcf, 0x84, 0x6e, 0x86,
|
|
0x78, 0x90, 0x51, 0xd3, 0x79, 0x98, 0xf7, 0xb9, 0x02, 0x2d,
|
|
0x75, 0x9b,
|
|
},
|
|
.a = {
|
|
0x9b, 0x9f, 0x60, 0x5f, 0x5a, 0x85, 0x81, 0x07, 0xab, 0x1e,
|
|
0xc8, 0x5e, 0x6b, 0x41, 0xc8, 0xaa, 0xcf, 0x84, 0x6e, 0x86,
|
|
0x78, 0x90, 0x51, 0xd3, 0x79, 0x98, 0xf7, 0xb9, 0x02, 0x2d,
|
|
0x75, 0x98,
|
|
},
|
|
.b = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x80, 0x5a,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00,
|
|
},
|
|
.y = {
|
|
0x41, 0xec, 0xe5, 0x57, 0x43, 0x71, 0x1a, 0x8c, 0x3c, 0xbf,
|
|
0x37, 0x83, 0xcd, 0x08, 0xc0, 0xee, 0x4d, 0x4d, 0xc4, 0x40,
|
|
0xd4, 0x64, 0x1a, 0x8f, 0x36, 0x6e, 0x55, 0x0d, 0xfd, 0xb3,
|
|
0xbb, 0x67,
|
|
},
|
|
.order = {
|
|
0x9b, 0x9f, 0x60, 0x5f, 0x5a, 0x85, 0x81, 0x07, 0xab, 0x1e,
|
|
0xc8, 0x5e, 0x6b, 0x41, 0xc8, 0xaa, 0x58, 0x2c, 0xa3, 0x51,
|
|
0x1e, 0xdd, 0xfb, 0x74, 0xf0, 0x2f, 0x3a, 0x65, 0x98, 0x98,
|
|
0x0b, 0xb9,
|
|
},
|
|
};
|
|
|
|
/*
|
|
* This curve is defined in two birationally equal forms: canonical and Twisted
|
|
* Edwards. We do calculations in canonical (Weierstrass) form.
|
|
*/
|
|
static const struct {
|
|
uint8_t p[32];
|
|
uint8_t a[32];
|
|
uint8_t b[32];
|
|
uint8_t x[32];
|
|
uint8_t y[32];
|
|
uint8_t order[32];
|
|
} _EC_GOST_2012_256_TC26_A = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xfd, 0x97,
|
|
},
|
|
.a = {
|
|
0xc2, 0x17, 0x3f, 0x15, 0x13, 0x98, 0x16, 0x73, 0xaf, 0x48,
|
|
0x92, 0xc2, 0x30, 0x35, 0xa2, 0x7c, 0xe2, 0x5e, 0x20, 0x13,
|
|
0xbf, 0x95, 0xaa, 0x33, 0xb2, 0x2c, 0x65, 0x6f, 0x27, 0x7e,
|
|
0x73, 0x35,
|
|
},
|
|
.b = {
|
|
0x29, 0x5f, 0x9b, 0xae, 0x74, 0x28, 0xed, 0x9c, 0xcc, 0x20,
|
|
0xe7, 0xc3, 0x59, 0xa9, 0xd4, 0x1a, 0x22, 0xfc, 0xcd, 0x91,
|
|
0x08, 0xe1, 0x7b, 0xf7, 0xba, 0x93, 0x37, 0xa6, 0xf8, 0xae,
|
|
0x95, 0x13,
|
|
},
|
|
.x = {
|
|
0x91, 0xe3, 0x84, 0x43, 0xa5, 0xe8, 0x2c, 0x0d, 0x88, 0x09,
|
|
0x23, 0x42, 0x57, 0x12, 0xb2, 0xbb, 0x65, 0x8b, 0x91, 0x96,
|
|
0x93, 0x2e, 0x02, 0xc7, 0x8b, 0x25, 0x82, 0xfe, 0x74, 0x2d,
|
|
0xaa, 0x28,
|
|
},
|
|
.y = {
|
|
0x32, 0x87, 0x94, 0x23, 0xab, 0x1a, 0x03, 0x75, 0x89, 0x57,
|
|
0x86, 0xc4, 0xbb, 0x46, 0xe9, 0x56, 0x5f, 0xde, 0x0b, 0x53,
|
|
0x44, 0x76, 0x67, 0x40, 0xaf, 0x26, 0x8a, 0xdb, 0x32, 0x32,
|
|
0x2e, 0x5c,
|
|
},
|
|
.order = {
|
|
0x40, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0f, 0xd8, 0xcd, 0xdf,
|
|
0xc8, 0x7b, 0x66, 0x35, 0xc1, 0x15, 0xaf, 0x55, 0x6c, 0x36,
|
|
0x0c, 0x67,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_GOST_2012_512_Test = {
|
|
.p = {
|
|
0x45, 0x31, 0xac, 0xd1, 0xfe, 0x00, 0x23, 0xc7, 0x55, 0x0d,
|
|
0x26, 0x7b, 0x6b, 0x2f, 0xee, 0x80, 0x92, 0x2b, 0x14, 0xb2,
|
|
0xff, 0xb9, 0x0f, 0x04, 0xd4, 0xeb, 0x7c, 0x09, 0xb5, 0xd2,
|
|
0xd1, 0x5d, 0xf1, 0xd8, 0x52, 0x74, 0x1a, 0xf4, 0x70, 0x4a,
|
|
0x04, 0x58, 0x04, 0x7e, 0x80, 0xe4, 0x54, 0x6d, 0x35, 0xb8,
|
|
0x33, 0x6f, 0xac, 0x22, 0x4d, 0xd8, 0x16, 0x64, 0xbb, 0xf5,
|
|
0x28, 0xbe, 0x63, 0x73,
|
|
},
|
|
.a = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x07,
|
|
},
|
|
.b = {
|
|
0x1c, 0xff, 0x08, 0x06, 0xa3, 0x11, 0x16, 0xda, 0x29, 0xd8,
|
|
0xcf, 0xa5, 0x4e, 0x57, 0xeb, 0x74, 0x8b, 0xc5, 0xf3, 0x77,
|
|
0xe4, 0x94, 0x00, 0xfd, 0xd7, 0x88, 0xb6, 0x49, 0xec, 0xa1,
|
|
0xac, 0x43, 0x61, 0x83, 0x40, 0x13, 0xb2, 0xad, 0x73, 0x22,
|
|
0x48, 0x0a, 0x89, 0xca, 0x58, 0xe0, 0xcf, 0x74, 0xbc, 0x9e,
|
|
0x54, 0x0c, 0x2a, 0xdd, 0x68, 0x97, 0xfa, 0xd0, 0xa3, 0x08,
|
|
0x4f, 0x30, 0x2a, 0xdc,
|
|
},
|
|
.x = {
|
|
0x24, 0xd1, 0x9c, 0xc6, 0x45, 0x72, 0xee, 0x30, 0xf3, 0x96,
|
|
0xbf, 0x6e, 0xbb, 0xfd, 0x7a, 0x6c, 0x52, 0x13, 0xb3, 0xb3,
|
|
0xd7, 0x05, 0x7c, 0xc8, 0x25, 0xf9, 0x10, 0x93, 0xa6, 0x8c,
|
|
0xd7, 0x62, 0xfd, 0x60, 0x61, 0x12, 0x62, 0xcd, 0x83, 0x8d,
|
|
0xc6, 0xb6, 0x0a, 0xa7, 0xee, 0xe8, 0x04, 0xe2, 0x8b, 0xc8,
|
|
0x49, 0x97, 0x7f, 0xac, 0x33, 0xb4, 0xb5, 0x30, 0xf1, 0xb1,
|
|
0x20, 0x24, 0x8a, 0x9a,
|
|
},
|
|
.y = {
|
|
0x2b, 0xb3, 0x12, 0xa4, 0x3b, 0xd2, 0xce, 0x6e, 0x0d, 0x02,
|
|
0x06, 0x13, 0xc8, 0x57, 0xac, 0xdd, 0xcf, 0xbf, 0x06, 0x1e,
|
|
0x91, 0xe5, 0xf2, 0xc3, 0xf3, 0x24, 0x47, 0xc2, 0x59, 0xf3,
|
|
0x9b, 0x2c, 0x83, 0xab, 0x15, 0x6d, 0x77, 0xf1, 0x49, 0x6b,
|
|
0xf7, 0xeb, 0x33, 0x51, 0xe1, 0xee, 0x4e, 0x43, 0xdc, 0x1a,
|
|
0x18, 0xb9, 0x1b, 0x24, 0x64, 0x0b, 0x6d, 0xbb, 0x92, 0xcb,
|
|
0x1a, 0xdd, 0x37, 0x1e,
|
|
},
|
|
.order = {
|
|
0x45, 0x31, 0xac, 0xd1, 0xfe, 0x00, 0x23, 0xc7, 0x55, 0x0d,
|
|
0x26, 0x7b, 0x6b, 0x2f, 0xee, 0x80, 0x92, 0x2b, 0x14, 0xb2,
|
|
0xff, 0xb9, 0x0f, 0x04, 0xd4, 0xeb, 0x7c, 0x09, 0xb5, 0xd2,
|
|
0xd1, 0x5d, 0xa8, 0x2f, 0x2d, 0x7e, 0xcb, 0x1d, 0xba, 0xc7,
|
|
0x19, 0x90, 0x5c, 0x5e, 0xec, 0xc4, 0x23, 0xf1, 0xd8, 0x6e,
|
|
0x25, 0xed, 0xbe, 0x23, 0xc5, 0x95, 0xd6, 0x44, 0xaa, 0xf1,
|
|
0x87, 0xe6, 0xe6, 0xdf,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_GOST_2012_512_TC26_A = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xfd, 0xc7,
|
|
},
|
|
.a = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xfd, 0xc4,
|
|
},
|
|
.b = {
|
|
0xe8, 0xc2, 0x50, 0x5d, 0xed, 0xfc, 0x86, 0xdd, 0xc1, 0xbd,
|
|
0x0b, 0x2b, 0x66, 0x67, 0xf1, 0xda, 0x34, 0xb8, 0x25, 0x74,
|
|
0x76, 0x1c, 0xb0, 0xe8, 0x79, 0xbd, 0x08, 0x1c, 0xfd, 0x0b,
|
|
0x62, 0x65, 0xee, 0x3c, 0xb0, 0x90, 0xf3, 0x0d, 0x27, 0x61,
|
|
0x4c, 0xb4, 0x57, 0x40, 0x10, 0xda, 0x90, 0xdd, 0x86, 0x2e,
|
|
0xf9, 0xd4, 0xeb, 0xee, 0x47, 0x61, 0x50, 0x31, 0x90, 0x78,
|
|
0x5a, 0x71, 0xc7, 0x60,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x03,
|
|
},
|
|
.y = {
|
|
0x75, 0x03, 0xcf, 0xe8, 0x7a, 0x83, 0x6a, 0xe3, 0xa6, 0x1b,
|
|
0x88, 0x16, 0xe2, 0x54, 0x50, 0xe6, 0xce, 0x5e, 0x1c, 0x93,
|
|
0xac, 0xf1, 0xab, 0xc1, 0x77, 0x80, 0x64, 0xfd, 0xcb, 0xef,
|
|
0xa9, 0x21, 0xdf, 0x16, 0x26, 0xbe, 0x4f, 0xd0, 0x36, 0xe9,
|
|
0x3d, 0x75, 0xe6, 0xa5, 0x0e, 0x3a, 0x41, 0xe9, 0x80, 0x28,
|
|
0xfe, 0x5f, 0xc2, 0x35, 0xf5, 0xb8, 0x89, 0xa5, 0x89, 0xcb,
|
|
0x52, 0x15, 0xf2, 0xa4,
|
|
},
|
|
.order = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0x27, 0xe6, 0x95, 0x32, 0xf4, 0x8d, 0x89, 0x11,
|
|
0x6f, 0xf2, 0x2b, 0x8d, 0x4e, 0x05, 0x60, 0x60, 0x9b, 0x4b,
|
|
0x38, 0xab, 0xfa, 0xd2, 0xb8, 0x5d, 0xca, 0xcd, 0xb1, 0x41,
|
|
0x1f, 0x10, 0xb2, 0x75,
|
|
},
|
|
};
|
|
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_GOST_2012_512_TC26_B = {
|
|
.p = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x6f,
|
|
},
|
|
.a = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x6c,
|
|
},
|
|
.b = {
|
|
0x68, 0x7d, 0x1b, 0x45, 0x9d, 0xc8, 0x41, 0x45, 0x7e, 0x3e,
|
|
0x06, 0xcf, 0x6f, 0x5e, 0x25, 0x17, 0xb9, 0x7c, 0x7d, 0x61,
|
|
0x4a, 0xf1, 0x38, 0xbc, 0xbf, 0x85, 0xdc, 0x80, 0x6c, 0x4b,
|
|
0x28, 0x9f, 0x3e, 0x96, 0x5d, 0x2d, 0xb1, 0x41, 0x6d, 0x21,
|
|
0x7f, 0x8b, 0x27, 0x6f, 0xad, 0x1a, 0xb6, 0x9c, 0x50, 0xf7,
|
|
0x8b, 0xee, 0x1f, 0xa3, 0x10, 0x6e, 0xfb, 0x8c, 0xcb, 0xc7,
|
|
0xc5, 0x14, 0x01, 0x16,
|
|
},
|
|
.x = {
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x02,
|
|
},
|
|
.y = {
|
|
0x1a, 0x8f, 0x7e, 0xda, 0x38, 0x9b, 0x09, 0x4c, 0x2c, 0x07,
|
|
0x1e, 0x36, 0x47, 0xa8, 0x94, 0x0f, 0x3c, 0x12, 0x3b, 0x69,
|
|
0x75, 0x78, 0xc2, 0x13, 0xbe, 0x6d, 0xd9, 0xe6, 0xc8, 0xec,
|
|
0x73, 0x35, 0xdc, 0xb2, 0x28, 0xfd, 0x1e, 0xdf, 0x4a, 0x39,
|
|
0x15, 0x2c, 0xbc, 0xaa, 0xf8, 0xc0, 0x39, 0x88, 0x28, 0x04,
|
|
0x10, 0x55, 0xf9, 0x4c, 0xee, 0xec, 0x7e, 0x21, 0x34, 0x07,
|
|
0x80, 0xfe, 0x41, 0xbd,
|
|
},
|
|
.order = {
|
|
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
0x00, 0x01, 0x49, 0xa1, 0xec, 0x14, 0x25, 0x65, 0xa5, 0x45,
|
|
0xac, 0xfd, 0xb7, 0x7b, 0xd9, 0xd4, 0x0c, 0xfa, 0x8b, 0x99,
|
|
0x67, 0x12, 0x10, 0x1b, 0xea, 0x0e, 0xc6, 0x34, 0x6c, 0x54,
|
|
0x37, 0x4f, 0x25, 0xbd,
|
|
},
|
|
};
|
|
|
|
/*
|
|
* This curve is defined in two birationally equal forms: canonical and Twisted
|
|
* Edwards. We do calculations in canonical (Weierstrass) form.
|
|
*/
|
|
static const struct {
|
|
uint8_t p[64];
|
|
uint8_t a[64];
|
|
uint8_t b[64];
|
|
uint8_t x[64];
|
|
uint8_t y[64];
|
|
uint8_t order[64];
|
|
} _EC_GOST_2012_512_TC26_C = {
|
|
.p = {
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xfd, 0xc7,
|
|
},
|
|
.a = {
|
|
0xdc, 0x92, 0x03, 0xe5, 0x14, 0xa7, 0x21, 0x87, 0x54, 0x85,
|
|
0xa5, 0x29, 0xd2, 0xc7, 0x22, 0xfb, 0x18, 0x7b, 0xc8, 0x98,
|
|
0x0e, 0xb8, 0x66, 0x64, 0x4d, 0xe4, 0x1c, 0x68, 0xe1, 0x43,
|
|
0x06, 0x45, 0x46, 0xe8, 0x61, 0xc0, 0xe2, 0xc9, 0xed, 0xd9,
|
|
0x2a, 0xde, 0x71, 0xf4, 0x6f, 0xcf, 0x50, 0xff, 0x2a, 0xd9,
|
|
0x7f, 0x95, 0x1f, 0xda, 0x9f, 0x2a, 0x2e, 0xb6, 0x54, 0x6f,
|
|
0x39, 0x68, 0x9b, 0xd3,
|
|
},
|
|
.b = {
|
|
0xb4, 0xc4, 0xee, 0x28, 0xce, 0xbc, 0x6c, 0x2c, 0x8a, 0xc1,
|
|
0x29, 0x52, 0xcf, 0x37, 0xf1, 0x6a, 0xc7, 0xef, 0xb6, 0xa9,
|
|
0xf6, 0x9f, 0x4b, 0x57, 0xff, 0xda, 0x2e, 0x4f, 0x0d, 0xe5,
|
|
0xad, 0xe0, 0x38, 0xcb, 0xc2, 0xff, 0xf7, 0x19, 0xd2, 0xc1,
|
|
0x8d, 0xe0, 0x28, 0x4b, 0x8b, 0xfe, 0xf3, 0xb5, 0x2b, 0x8c,
|
|
0xc7, 0xa5, 0xf5, 0xbf, 0x0a, 0x3c, 0x8d, 0x23, 0x19, 0xa5,
|
|
0x31, 0x25, 0x57, 0xe1,
|
|
},
|
|
.x = {
|
|
0xe2, 0xe3, 0x1e, 0xdf, 0xc2, 0x3d, 0xe7, 0xbd, 0xeb, 0xe2,
|
|
0x41, 0xce, 0x59, 0x3e, 0xf5, 0xde, 0x22, 0x95, 0xb7, 0xa9,
|
|
0xcb, 0xae, 0xf0, 0x21, 0xd3, 0x85, 0xf7, 0x07, 0x4c, 0xea,
|
|
0x04, 0x3a, 0xa2, 0x72, 0x72, 0xa7, 0xae, 0x60, 0x2b, 0xf2,
|
|
0xa7, 0xb9, 0x03, 0x3d, 0xb9, 0xed, 0x36, 0x10, 0xc6, 0xfb,
|
|
0x85, 0x48, 0x7e, 0xae, 0x97, 0xaa, 0xc5, 0xbc, 0x79, 0x28,
|
|
0xc1, 0x95, 0x01, 0x48,
|
|
},
|
|
.y = {
|
|
0xf5, 0xce, 0x40, 0xd9, 0x5b, 0x5e, 0xb8, 0x99, 0xab, 0xbc,
|
|
0xcf, 0xf5, 0x91, 0x1c, 0xb8, 0x57, 0x79, 0x39, 0x80, 0x4d,
|
|
0x65, 0x27, 0x37, 0x8b, 0x8c, 0x10, 0x8c, 0x3d, 0x20, 0x90,
|
|
0xff, 0x9b, 0xe1, 0x8e, 0x2d, 0x33, 0xe3, 0x02, 0x1e, 0xd2,
|
|
0xef, 0x32, 0xd8, 0x58, 0x22, 0x42, 0x3b, 0x63, 0x04, 0xf7,
|
|
0x26, 0xaa, 0x85, 0x4b, 0xae, 0x07, 0xd0, 0x39, 0x6e, 0x9a,
|
|
0x9a, 0xdd, 0xc4, 0x0f,
|
|
},
|
|
.order = {
|
|
0x3f, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
|
0xff, 0xff, 0xc9, 0x8c, 0xdb, 0xa4, 0x65, 0x06, 0xab, 0x00,
|
|
0x4c, 0x33, 0xa9, 0xff, 0x51, 0x47, 0x50, 0x2c, 0xc8, 0xed,
|
|
0xa9, 0xe7, 0xa7, 0x69, 0xa1, 0x26, 0x94, 0x62, 0x3c, 0xef,
|
|
0x47, 0xf0, 0x23, 0xed,
|
|
},
|
|
};
|
|
#endif
|
|
|
|
static const struct ec_list_element {
|
|
const char *comment;
|
|
int nid;
|
|
int seed_len;
|
|
int param_len;
|
|
unsigned int cofactor;
|
|
const uint8_t *seed;
|
|
const uint8_t *p;
|
|
const uint8_t *a;
|
|
const uint8_t *b;
|
|
const uint8_t *x;
|
|
const uint8_t *y;
|
|
const uint8_t *order;
|
|
} curve_list[] = {
|
|
/* secg curves */
|
|
{
|
|
.comment = "SECG/WTLS curve over a 112 bit prime field",
|
|
.nid = NID_secp112r1,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_112R1.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_112R1.p),
|
|
.seed = _EC_SECG_PRIME_112R1.seed,
|
|
.p = _EC_SECG_PRIME_112R1.p,
|
|
.a = _EC_SECG_PRIME_112R1.a,
|
|
.b = _EC_SECG_PRIME_112R1.b,
|
|
.x = _EC_SECG_PRIME_112R1.x,
|
|
.y = _EC_SECG_PRIME_112R1.y,
|
|
.order = _EC_SECG_PRIME_112R1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 112 bit prime field",
|
|
.nid = NID_secp112r2,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_112R2.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_112R2.p),
|
|
.seed = _EC_SECG_PRIME_112R2.seed,
|
|
.p = _EC_SECG_PRIME_112R2.p,
|
|
.a = _EC_SECG_PRIME_112R2.a,
|
|
.b = _EC_SECG_PRIME_112R2.b,
|
|
.x = _EC_SECG_PRIME_112R2.x,
|
|
.y = _EC_SECG_PRIME_112R2.y,
|
|
.order = _EC_SECG_PRIME_112R2.order,
|
|
.cofactor = 4,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 128 bit prime field",
|
|
.nid = NID_secp128r1,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_128R1.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_128R1.p),
|
|
.seed = _EC_SECG_PRIME_128R1.seed,
|
|
.p = _EC_SECG_PRIME_128R1.p,
|
|
.a = _EC_SECG_PRIME_128R1.a,
|
|
.b = _EC_SECG_PRIME_128R1.b,
|
|
.x = _EC_SECG_PRIME_128R1.x,
|
|
.y = _EC_SECG_PRIME_128R1.y,
|
|
.order = _EC_SECG_PRIME_128R1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 128 bit prime field",
|
|
.nid = NID_secp128r2,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_128R2.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_128R2.p),
|
|
.seed = _EC_SECG_PRIME_128R2.seed,
|
|
.p = _EC_SECG_PRIME_128R2.p,
|
|
.a = _EC_SECG_PRIME_128R2.a,
|
|
.b = _EC_SECG_PRIME_128R2.b,
|
|
.x = _EC_SECG_PRIME_128R2.x,
|
|
.y = _EC_SECG_PRIME_128R2.y,
|
|
.order = _EC_SECG_PRIME_128R2.order,
|
|
.cofactor = 4,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 160 bit prime field",
|
|
.nid = NID_secp160k1,
|
|
.param_len = sizeof(_EC_SECG_PRIME_160K1.p),
|
|
.p = _EC_SECG_PRIME_160K1.p,
|
|
.a = _EC_SECG_PRIME_160K1.a,
|
|
.b = _EC_SECG_PRIME_160K1.b,
|
|
.x = _EC_SECG_PRIME_160K1.x,
|
|
.y = _EC_SECG_PRIME_160K1.y,
|
|
.order = _EC_SECG_PRIME_160K1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 160 bit prime field",
|
|
.nid = NID_secp160r1,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_160R1.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_160R1.p),
|
|
.seed = _EC_SECG_PRIME_160R1.seed,
|
|
.p = _EC_SECG_PRIME_160R1.p,
|
|
.a = _EC_SECG_PRIME_160R1.a,
|
|
.b = _EC_SECG_PRIME_160R1.b,
|
|
.x = _EC_SECG_PRIME_160R1.x,
|
|
.y = _EC_SECG_PRIME_160R1.y,
|
|
.order = _EC_SECG_PRIME_160R1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG/WTLS curve over a 160 bit prime field",
|
|
.nid = NID_secp160r2,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_160R2.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_160R2.p),
|
|
.seed = _EC_SECG_PRIME_160R2.seed,
|
|
.p = _EC_SECG_PRIME_160R2.p,
|
|
.a = _EC_SECG_PRIME_160R2.a,
|
|
.b = _EC_SECG_PRIME_160R2.b,
|
|
.x = _EC_SECG_PRIME_160R2.x,
|
|
.y = _EC_SECG_PRIME_160R2.y,
|
|
.order = _EC_SECG_PRIME_160R2.order,
|
|
.cofactor = 1,
|
|
},
|
|
/* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */
|
|
{
|
|
.comment = "SECG curve over a 192 bit prime field",
|
|
.nid = NID_secp192k1,
|
|
.param_len = sizeof(_EC_SECG_PRIME_192K1.p),
|
|
.p = _EC_SECG_PRIME_192K1.p,
|
|
.a = _EC_SECG_PRIME_192K1.a,
|
|
.b = _EC_SECG_PRIME_192K1.b,
|
|
.x = _EC_SECG_PRIME_192K1.x,
|
|
.y = _EC_SECG_PRIME_192K1.y,
|
|
.order = _EC_SECG_PRIME_192K1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 224 bit prime field",
|
|
.nid = NID_secp224k1,
|
|
.param_len = sizeof(_EC_SECG_PRIME_224K1.p),
|
|
.p = _EC_SECG_PRIME_224K1.p,
|
|
.a = _EC_SECG_PRIME_224K1.a,
|
|
.b = _EC_SECG_PRIME_224K1.b,
|
|
.x = _EC_SECG_PRIME_224K1.x,
|
|
.y = _EC_SECG_PRIME_224K1.y,
|
|
.order = _EC_SECG_PRIME_224K1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "NIST/SECG curve over a 224 bit prime field",
|
|
.nid = NID_secp224r1,
|
|
.seed_len = sizeof(_EC_NIST_PRIME_224.seed),
|
|
.param_len = sizeof(_EC_NIST_PRIME_224.p),
|
|
.seed = _EC_NIST_PRIME_224.seed,
|
|
.p = _EC_NIST_PRIME_224.p,
|
|
.a = _EC_NIST_PRIME_224.a,
|
|
.b = _EC_NIST_PRIME_224.b,
|
|
.x = _EC_NIST_PRIME_224.x,
|
|
.y = _EC_NIST_PRIME_224.y,
|
|
.order = _EC_NIST_PRIME_224.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG curve over a 256 bit prime field",
|
|
.nid = NID_secp256k1,
|
|
.param_len = sizeof(_EC_SECG_PRIME_256K1.p),
|
|
.p = _EC_SECG_PRIME_256K1.p,
|
|
.a = _EC_SECG_PRIME_256K1.a,
|
|
.b = _EC_SECG_PRIME_256K1.b,
|
|
.x = _EC_SECG_PRIME_256K1.x,
|
|
.y = _EC_SECG_PRIME_256K1.y,
|
|
.order = _EC_SECG_PRIME_256K1.order,
|
|
.cofactor = 1,
|
|
},
|
|
/* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */
|
|
{
|
|
.comment = "NIST/SECG curve over a 384 bit prime field",
|
|
.nid = NID_secp384r1,
|
|
.seed_len = sizeof(_EC_NIST_PRIME_384.seed),
|
|
.param_len = sizeof(_EC_NIST_PRIME_384.p),
|
|
.seed = _EC_NIST_PRIME_384.seed,
|
|
.p = _EC_NIST_PRIME_384.p,
|
|
.a = _EC_NIST_PRIME_384.a,
|
|
.b = _EC_NIST_PRIME_384.b,
|
|
.x = _EC_NIST_PRIME_384.x,
|
|
.y = _EC_NIST_PRIME_384.y,
|
|
.order = _EC_NIST_PRIME_384.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "NIST/SECG curve over a 521 bit prime field",
|
|
.nid = NID_secp521r1,
|
|
.seed_len = sizeof(_EC_NIST_PRIME_521.seed),
|
|
.param_len = sizeof(_EC_NIST_PRIME_521.p),
|
|
.seed = _EC_NIST_PRIME_521.seed,
|
|
.p = _EC_NIST_PRIME_521.p,
|
|
.a = _EC_NIST_PRIME_521.a,
|
|
.b = _EC_NIST_PRIME_521.b,
|
|
.x = _EC_NIST_PRIME_521.x,
|
|
.y = _EC_NIST_PRIME_521.y,
|
|
.order = _EC_NIST_PRIME_521.order,
|
|
.cofactor = 1,
|
|
},
|
|
/* X9.62 curves */
|
|
{
|
|
.comment = "NIST/X9.62/SECG curve over a 192 bit prime field",
|
|
.nid = NID_X9_62_prime192v1,
|
|
.seed_len = sizeof(_EC_NIST_PRIME_192.seed),
|
|
.param_len = sizeof(_EC_NIST_PRIME_192.p),
|
|
.seed = _EC_NIST_PRIME_192.seed,
|
|
.p = _EC_NIST_PRIME_192.p,
|
|
.a = _EC_NIST_PRIME_192.a,
|
|
.b = _EC_NIST_PRIME_192.b,
|
|
.x = _EC_NIST_PRIME_192.x,
|
|
.y = _EC_NIST_PRIME_192.y,
|
|
.order = _EC_NIST_PRIME_192.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62 curve over a 192 bit prime field",
|
|
.nid = NID_X9_62_prime192v2,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_192V2.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_192V2.p),
|
|
.seed = _EC_X9_62_PRIME_192V2.seed,
|
|
.p = _EC_X9_62_PRIME_192V2.p,
|
|
.a = _EC_X9_62_PRIME_192V2.a,
|
|
.b = _EC_X9_62_PRIME_192V2.b,
|
|
.x = _EC_X9_62_PRIME_192V2.x,
|
|
.y = _EC_X9_62_PRIME_192V2.y,
|
|
.order = _EC_X9_62_PRIME_192V2.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62 curve over a 192 bit prime field",
|
|
.nid = NID_X9_62_prime192v3,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_192V3.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_192V3.p),
|
|
.seed = _EC_X9_62_PRIME_192V3.seed,
|
|
.p = _EC_X9_62_PRIME_192V3.p,
|
|
.a = _EC_X9_62_PRIME_192V3.a,
|
|
.b = _EC_X9_62_PRIME_192V3.b,
|
|
.x = _EC_X9_62_PRIME_192V3.x,
|
|
.y = _EC_X9_62_PRIME_192V3.y,
|
|
.order = _EC_X9_62_PRIME_192V3.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62 curve over a 239 bit prime field",
|
|
.nid = NID_X9_62_prime239v1,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_239V1.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_239V1.p),
|
|
.seed = _EC_X9_62_PRIME_239V1.seed,
|
|
.p = _EC_X9_62_PRIME_239V1.p,
|
|
.a = _EC_X9_62_PRIME_239V1.a,
|
|
.b = _EC_X9_62_PRIME_239V1.b,
|
|
.x = _EC_X9_62_PRIME_239V1.x,
|
|
.y = _EC_X9_62_PRIME_239V1.y,
|
|
.order = _EC_X9_62_PRIME_239V1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62 curve over a 239 bit prime field",
|
|
.nid = NID_X9_62_prime239v2,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_239V2.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_239V2.p),
|
|
.seed = _EC_X9_62_PRIME_239V2.seed,
|
|
.p = _EC_X9_62_PRIME_239V2.p,
|
|
.a = _EC_X9_62_PRIME_239V2.a,
|
|
.b = _EC_X9_62_PRIME_239V2.b,
|
|
.x = _EC_X9_62_PRIME_239V2.x,
|
|
.y = _EC_X9_62_PRIME_239V2.y,
|
|
.order = _EC_X9_62_PRIME_239V2.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62 curve over a 239 bit prime field",
|
|
.nid = NID_X9_62_prime239v3,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_239V3.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_239V3.p),
|
|
.seed = _EC_X9_62_PRIME_239V3.seed,
|
|
.p = _EC_X9_62_PRIME_239V3.p,
|
|
.a = _EC_X9_62_PRIME_239V3.a,
|
|
.b = _EC_X9_62_PRIME_239V3.b,
|
|
.x = _EC_X9_62_PRIME_239V3.x,
|
|
.y = _EC_X9_62_PRIME_239V3.y,
|
|
.order = _EC_X9_62_PRIME_239V3.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "X9.62/SECG curve over a 256 bit prime field",
|
|
.nid = NID_X9_62_prime256v1,
|
|
.seed_len = sizeof(_EC_X9_62_PRIME_256V1.seed),
|
|
.param_len = sizeof(_EC_X9_62_PRIME_256V1.p),
|
|
.seed = _EC_X9_62_PRIME_256V1.seed,
|
|
.p = _EC_X9_62_PRIME_256V1.p,
|
|
.a = _EC_X9_62_PRIME_256V1.a,
|
|
.b = _EC_X9_62_PRIME_256V1.b,
|
|
.x = _EC_X9_62_PRIME_256V1.x,
|
|
.y = _EC_X9_62_PRIME_256V1.y,
|
|
.order = _EC_X9_62_PRIME_256V1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG/WTLS curve over a 112 bit prime field",
|
|
.nid = NID_wap_wsg_idm_ecid_wtls6,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_112R1.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_112R1.p),
|
|
.seed = _EC_SECG_PRIME_112R1.seed,
|
|
.p = _EC_SECG_PRIME_112R1.p,
|
|
.a = _EC_SECG_PRIME_112R1.a,
|
|
.b = _EC_SECG_PRIME_112R1.b,
|
|
.x = _EC_SECG_PRIME_112R1.x,
|
|
.y = _EC_SECG_PRIME_112R1.y,
|
|
.order = _EC_SECG_PRIME_112R1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "SECG/WTLS curve over a 160 bit prime field",
|
|
.nid = NID_wap_wsg_idm_ecid_wtls7,
|
|
.seed_len = sizeof(_EC_SECG_PRIME_160R2.seed),
|
|
.param_len = sizeof(_EC_SECG_PRIME_160R2.p),
|
|
.seed = _EC_SECG_PRIME_160R2.seed,
|
|
.p = _EC_SECG_PRIME_160R2.p,
|
|
.a = _EC_SECG_PRIME_160R2.a,
|
|
.b = _EC_SECG_PRIME_160R2.b,
|
|
.x = _EC_SECG_PRIME_160R2.x,
|
|
.y = _EC_SECG_PRIME_160R2.y,
|
|
.order = _EC_SECG_PRIME_160R2.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "WTLS curve over a 112 bit prime field",
|
|
.nid = NID_wap_wsg_idm_ecid_wtls8,
|
|
.param_len = sizeof(_EC_WTLS_8.p),
|
|
.p = _EC_WTLS_8.p,
|
|
.a = _EC_WTLS_8.a,
|
|
.b = _EC_WTLS_8.b,
|
|
.x = _EC_WTLS_8.x,
|
|
.y = _EC_WTLS_8.y,
|
|
.order = _EC_WTLS_8.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "WTLS curve over a 160 bit prime field",
|
|
.nid = NID_wap_wsg_idm_ecid_wtls9,
|
|
.param_len = sizeof(_EC_WTLS_9.p),
|
|
.p = _EC_WTLS_9.p,
|
|
.a = _EC_WTLS_9.a,
|
|
.b = _EC_WTLS_9.b,
|
|
.x = _EC_WTLS_9.x,
|
|
.y = _EC_WTLS_9.y,
|
|
.order = _EC_WTLS_9.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "WTLS curve over a 224 bit prime field",
|
|
.nid = NID_wap_wsg_idm_ecid_wtls12,
|
|
.param_len = sizeof(_EC_WTLS_12.p),
|
|
.p = _EC_WTLS_12.p,
|
|
.a = _EC_WTLS_12.a,
|
|
.b = _EC_WTLS_12.b,
|
|
.x = _EC_WTLS_12.x,
|
|
.y = _EC_WTLS_12.y,
|
|
.order = _EC_WTLS_12.order,
|
|
.cofactor = 1,
|
|
},
|
|
/* RFC 5639 curves */
|
|
{
|
|
.comment = "RFC 5639 curve over a 160 bit prime field",
|
|
.nid = NID_brainpoolP160r1,
|
|
.param_len = sizeof(_EC_brainpoolP160r1.p),
|
|
.p = _EC_brainpoolP160r1.p,
|
|
.a = _EC_brainpoolP160r1.a,
|
|
.b = _EC_brainpoolP160r1.b,
|
|
.x = _EC_brainpoolP160r1.x,
|
|
.y = _EC_brainpoolP160r1.y,
|
|
.order = _EC_brainpoolP160r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 160 bit prime field",
|
|
.nid = NID_brainpoolP160t1,
|
|
.param_len = sizeof(_EC_brainpoolP160t1.p),
|
|
.p = _EC_brainpoolP160t1.p,
|
|
.a = _EC_brainpoolP160t1.a,
|
|
.b = _EC_brainpoolP160t1.b,
|
|
.x = _EC_brainpoolP160t1.x,
|
|
.y = _EC_brainpoolP160t1.y,
|
|
.order = _EC_brainpoolP160t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 192 bit prime field",
|
|
.nid = NID_brainpoolP192r1,
|
|
.param_len = sizeof(_EC_brainpoolP192r1.p),
|
|
.p = _EC_brainpoolP192r1.p,
|
|
.a = _EC_brainpoolP192r1.a,
|
|
.b = _EC_brainpoolP192r1.b,
|
|
.x = _EC_brainpoolP192r1.x,
|
|
.y = _EC_brainpoolP192r1.y,
|
|
.order = _EC_brainpoolP192r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 192 bit prime field",
|
|
.nid = NID_brainpoolP192t1,
|
|
.param_len = sizeof(_EC_brainpoolP192t1.p),
|
|
.p = _EC_brainpoolP192t1.p,
|
|
.a = _EC_brainpoolP192t1.a,
|
|
.b = _EC_brainpoolP192t1.b,
|
|
.x = _EC_brainpoolP192t1.x,
|
|
.y = _EC_brainpoolP192t1.y,
|
|
.order = _EC_brainpoolP192t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 224 bit prime field",
|
|
.nid = NID_brainpoolP224r1,
|
|
.param_len = sizeof(_EC_brainpoolP224r1.p),
|
|
.p = _EC_brainpoolP224r1.p,
|
|
.a = _EC_brainpoolP224r1.a,
|
|
.b = _EC_brainpoolP224r1.b,
|
|
.x = _EC_brainpoolP224r1.x,
|
|
.y = _EC_brainpoolP224r1.y,
|
|
.order = _EC_brainpoolP224r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 224 bit prime field",
|
|
.nid = NID_brainpoolP224t1,
|
|
.param_len = sizeof(_EC_brainpoolP224t1.p),
|
|
.p = _EC_brainpoolP224t1.p,
|
|
.a = _EC_brainpoolP224t1.a,
|
|
.b = _EC_brainpoolP224t1.b,
|
|
.x = _EC_brainpoolP224t1.x,
|
|
.y = _EC_brainpoolP224t1.y,
|
|
.order = _EC_brainpoolP224t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 256 bit prime field",
|
|
.nid = NID_brainpoolP256r1,
|
|
.param_len = sizeof(_EC_brainpoolP256r1.p),
|
|
.p = _EC_brainpoolP256r1.p,
|
|
.a = _EC_brainpoolP256r1.a,
|
|
.b = _EC_brainpoolP256r1.b,
|
|
.x = _EC_brainpoolP256r1.x,
|
|
.y = _EC_brainpoolP256r1.y,
|
|
.order = _EC_brainpoolP256r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 256 bit prime field",
|
|
.nid = NID_brainpoolP256t1,
|
|
.param_len = sizeof(_EC_brainpoolP256t1.p),
|
|
.p = _EC_brainpoolP256t1.p,
|
|
.a = _EC_brainpoolP256t1.a,
|
|
.b = _EC_brainpoolP256t1.b,
|
|
.x = _EC_brainpoolP256t1.x,
|
|
.y = _EC_brainpoolP256t1.y,
|
|
.order = _EC_brainpoolP256t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 320 bit prime field",
|
|
.nid = NID_brainpoolP320r1,
|
|
.param_len = sizeof(_EC_brainpoolP320r1.p),
|
|
.p = _EC_brainpoolP320r1.p,
|
|
.a = _EC_brainpoolP320r1.a,
|
|
.b = _EC_brainpoolP320r1.b,
|
|
.x = _EC_brainpoolP320r1.x,
|
|
.y = _EC_brainpoolP320r1.y,
|
|
.order = _EC_brainpoolP320r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 320 bit prime field",
|
|
.nid = NID_brainpoolP320t1,
|
|
.param_len = sizeof(_EC_brainpoolP320t1.p),
|
|
.p = _EC_brainpoolP320t1.p,
|
|
.a = _EC_brainpoolP320t1.a,
|
|
.b = _EC_brainpoolP320t1.b,
|
|
.x = _EC_brainpoolP320t1.x,
|
|
.y = _EC_brainpoolP320t1.y,
|
|
.order = _EC_brainpoolP320t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 384 bit prime field",
|
|
.nid = NID_brainpoolP384r1,
|
|
.param_len = sizeof(_EC_brainpoolP384r1.p),
|
|
.p = _EC_brainpoolP384r1.p,
|
|
.a = _EC_brainpoolP384r1.a,
|
|
.b = _EC_brainpoolP384r1.b,
|
|
.x = _EC_brainpoolP384r1.x,
|
|
.y = _EC_brainpoolP384r1.y,
|
|
.order = _EC_brainpoolP384r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 384 bit prime field",
|
|
.nid = NID_brainpoolP384t1,
|
|
.param_len = sizeof(_EC_brainpoolP384t1.p),
|
|
.p = _EC_brainpoolP384t1.p,
|
|
.a = _EC_brainpoolP384t1.a,
|
|
.b = _EC_brainpoolP384t1.b,
|
|
.x = _EC_brainpoolP384t1.x,
|
|
.y = _EC_brainpoolP384t1.y,
|
|
.order = _EC_brainpoolP384t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 512 bit prime field",
|
|
.nid = NID_brainpoolP512r1,
|
|
.param_len = sizeof(_EC_brainpoolP512r1.p),
|
|
.p = _EC_brainpoolP512r1.p,
|
|
.a = _EC_brainpoolP512r1.a,
|
|
.b = _EC_brainpoolP512r1.b,
|
|
.x = _EC_brainpoolP512r1.x,
|
|
.y = _EC_brainpoolP512r1.y,
|
|
.order = _EC_brainpoolP512r1.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "RFC 5639 curve over a 512 bit prime field",
|
|
.nid = NID_brainpoolP512t1,
|
|
.param_len = sizeof(_EC_brainpoolP512t1.p),
|
|
.p = _EC_brainpoolP512t1.p,
|
|
.a = _EC_brainpoolP512t1.a,
|
|
.b = _EC_brainpoolP512t1.b,
|
|
.x = _EC_brainpoolP512t1.x,
|
|
.y = _EC_brainpoolP512t1.y,
|
|
.order = _EC_brainpoolP512t1.order,
|
|
.cofactor = 1,
|
|
},
|
|
/* ANSSI */
|
|
{
|
|
.comment = "FRP256v1",
|
|
.nid = NID_FRP256v1,
|
|
.param_len = sizeof(_EC_FRP256v1.p),
|
|
.p = _EC_FRP256v1.p,
|
|
.a = _EC_FRP256v1.a,
|
|
.b = _EC_FRP256v1.b,
|
|
.x = _EC_FRP256v1.x,
|
|
.y = _EC_FRP256v1.y,
|
|
.order = _EC_FRP256v1.order,
|
|
.cofactor = 1,
|
|
},
|
|
#ifndef OPENSSL_NO_GOST
|
|
/* GOST R 34.10-2001 */
|
|
{
|
|
.comment = "GOST R 34.10-2001 Test Curve",
|
|
.nid = NID_id_GostR3410_2001_TestParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_Test.p),
|
|
.p = _EC_GOST_2001_Test.p,
|
|
.a = _EC_GOST_2001_Test.a,
|
|
.b = _EC_GOST_2001_Test.b,
|
|
.x = _EC_GOST_2001_Test.x,
|
|
.y = _EC_GOST_2001_Test.y,
|
|
.order = _EC_GOST_2001_Test.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2001 CryptoPro-A",
|
|
.nid = NID_id_GostR3410_2001_CryptoPro_A_ParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_A.p),
|
|
.p = _EC_GOST_2001_CryptoPro_A.p,
|
|
.a = _EC_GOST_2001_CryptoPro_A.a,
|
|
.b = _EC_GOST_2001_CryptoPro_A.b,
|
|
.x = _EC_GOST_2001_CryptoPro_A.x,
|
|
.y = _EC_GOST_2001_CryptoPro_A.y,
|
|
.order = _EC_GOST_2001_CryptoPro_A.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2001 CryptoPro-B",
|
|
.nid = NID_id_GostR3410_2001_CryptoPro_B_ParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_B.p),
|
|
.p = _EC_GOST_2001_CryptoPro_B.p,
|
|
.a = _EC_GOST_2001_CryptoPro_B.a,
|
|
.b = _EC_GOST_2001_CryptoPro_B.b,
|
|
.x = _EC_GOST_2001_CryptoPro_B.x,
|
|
.y = _EC_GOST_2001_CryptoPro_B.y,
|
|
.order = _EC_GOST_2001_CryptoPro_B.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2001 CryptoPro-C",
|
|
.nid = NID_id_GostR3410_2001_CryptoPro_C_ParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_C.p),
|
|
.p = _EC_GOST_2001_CryptoPro_C.p,
|
|
.a = _EC_GOST_2001_CryptoPro_C.a,
|
|
.b = _EC_GOST_2001_CryptoPro_C.b,
|
|
.x = _EC_GOST_2001_CryptoPro_C.x,
|
|
.y = _EC_GOST_2001_CryptoPro_C.y,
|
|
.order = _EC_GOST_2001_CryptoPro_C.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2001 CryptoPro-XchA",
|
|
.nid = NID_id_GostR3410_2001_CryptoPro_XchA_ParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_A.p),
|
|
.p = _EC_GOST_2001_CryptoPro_A.p,
|
|
.a = _EC_GOST_2001_CryptoPro_A.a,
|
|
.b = _EC_GOST_2001_CryptoPro_A.b,
|
|
.x = _EC_GOST_2001_CryptoPro_A.x,
|
|
.y = _EC_GOST_2001_CryptoPro_A.y,
|
|
.order = _EC_GOST_2001_CryptoPro_A.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2001 CryptoPro-XchB",
|
|
.nid = NID_id_GostR3410_2001_CryptoPro_XchB_ParamSet,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_C.p),
|
|
.p = _EC_GOST_2001_CryptoPro_C.p,
|
|
.a = _EC_GOST_2001_CryptoPro_C.a,
|
|
.b = _EC_GOST_2001_CryptoPro_C.b,
|
|
.x = _EC_GOST_2001_CryptoPro_C.x,
|
|
.y = _EC_GOST_2001_CryptoPro_C.y,
|
|
.order = _EC_GOST_2001_CryptoPro_C.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 256 TC26-A",
|
|
.nid = NID_id_tc26_gost_3410_12_256_paramSetA,
|
|
.param_len = sizeof(_EC_GOST_2012_256_TC26_A.p),
|
|
.p = _EC_GOST_2012_256_TC26_A.p,
|
|
.a = _EC_GOST_2012_256_TC26_A.a,
|
|
.b = _EC_GOST_2012_256_TC26_A.b,
|
|
.x = _EC_GOST_2012_256_TC26_A.x,
|
|
.y = _EC_GOST_2012_256_TC26_A.y,
|
|
.order = _EC_GOST_2012_256_TC26_A.order,
|
|
.cofactor = 4,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 256 TC26-B",
|
|
.nid = NID_id_tc26_gost_3410_12_256_paramSetB,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_A.p),
|
|
.p = _EC_GOST_2001_CryptoPro_A.p,
|
|
.a = _EC_GOST_2001_CryptoPro_A.a,
|
|
.b = _EC_GOST_2001_CryptoPro_A.b,
|
|
.x = _EC_GOST_2001_CryptoPro_A.x,
|
|
.y = _EC_GOST_2001_CryptoPro_A.y,
|
|
.order = _EC_GOST_2001_CryptoPro_A.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 256 TC26-C",
|
|
.nid = NID_id_tc26_gost_3410_12_256_paramSetC,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_B.p),
|
|
.p = _EC_GOST_2001_CryptoPro_B.p,
|
|
.a = _EC_GOST_2001_CryptoPro_B.a,
|
|
.b = _EC_GOST_2001_CryptoPro_B.b,
|
|
.x = _EC_GOST_2001_CryptoPro_B.x,
|
|
.y = _EC_GOST_2001_CryptoPro_B.y,
|
|
.order = _EC_GOST_2001_CryptoPro_B.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 256 TC26-D",
|
|
.nid = NID_id_tc26_gost_3410_12_256_paramSetD,
|
|
.param_len = sizeof(_EC_GOST_2001_CryptoPro_C.p),
|
|
.p = _EC_GOST_2001_CryptoPro_C.p,
|
|
.a = _EC_GOST_2001_CryptoPro_C.a,
|
|
.b = _EC_GOST_2001_CryptoPro_C.b,
|
|
.x = _EC_GOST_2001_CryptoPro_C.x,
|
|
.y = _EC_GOST_2001_CryptoPro_C.y,
|
|
.order = _EC_GOST_2001_CryptoPro_C.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 512 Test Curve",
|
|
.nid = NID_id_tc26_gost_3410_12_512_paramSetTest,
|
|
.param_len = sizeof(_EC_GOST_2012_512_Test.p),
|
|
.p = _EC_GOST_2012_512_Test.p,
|
|
.a = _EC_GOST_2012_512_Test.a,
|
|
.b = _EC_GOST_2012_512_Test.b,
|
|
.x = _EC_GOST_2012_512_Test.x,
|
|
.y = _EC_GOST_2012_512_Test.y,
|
|
.order = _EC_GOST_2012_512_Test.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 512 TC26-A",
|
|
.nid = NID_id_tc26_gost_3410_12_512_paramSetA,
|
|
.param_len = sizeof(_EC_GOST_2012_512_TC26_A.p),
|
|
.p = _EC_GOST_2012_512_TC26_A.p,
|
|
.a = _EC_GOST_2012_512_TC26_A.a,
|
|
.b = _EC_GOST_2012_512_TC26_A.b,
|
|
.x = _EC_GOST_2012_512_TC26_A.x,
|
|
.y = _EC_GOST_2012_512_TC26_A.y,
|
|
.order = _EC_GOST_2012_512_TC26_A.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 512 TC26-B",
|
|
.nid = NID_id_tc26_gost_3410_12_512_paramSetB,
|
|
.param_len = sizeof(_EC_GOST_2012_512_TC26_B.p),
|
|
.p = _EC_GOST_2012_512_TC26_B.p,
|
|
.a = _EC_GOST_2012_512_TC26_B.a,
|
|
.b = _EC_GOST_2012_512_TC26_B.b,
|
|
.x = _EC_GOST_2012_512_TC26_B.x,
|
|
.y = _EC_GOST_2012_512_TC26_B.y,
|
|
.order = _EC_GOST_2012_512_TC26_B.order,
|
|
.cofactor = 1,
|
|
},
|
|
{
|
|
.comment = "GOST R 34.10-2012 512 TC26-C",
|
|
.nid = NID_id_tc26_gost_3410_12_512_paramSetC,
|
|
.param_len = sizeof(_EC_GOST_2012_512_TC26_C.p),
|
|
.p = _EC_GOST_2012_512_TC26_C.p,
|
|
.a = _EC_GOST_2012_512_TC26_C.a,
|
|
.b = _EC_GOST_2012_512_TC26_C.b,
|
|
.x = _EC_GOST_2012_512_TC26_C.x,
|
|
.y = _EC_GOST_2012_512_TC26_C.y,
|
|
.order = _EC_GOST_2012_512_TC26_C.order,
|
|
.cofactor = 4,
|
|
},
|
|
#endif
|
|
};
|
|
|
|
#define CURVE_LIST_LENGTH (sizeof(curve_list) / sizeof(curve_list[0]))
|
|
|
|
static EC_GROUP *
|
|
ec_group_new_from_data(const struct ec_list_element *curve)
|
|
{
|
|
EC_GROUP *group = NULL, *ret = NULL;
|
|
EC_POINT *generator = NULL;
|
|
BN_CTX *ctx = NULL;
|
|
BIGNUM *p, *a, *b, *x, *y, *order, *cofactor;
|
|
|
|
if ((ctx = BN_CTX_new()) == NULL) {
|
|
ECerror(ERR_R_MALLOC_FAILURE);
|
|
goto err;
|
|
}
|
|
BN_CTX_start(ctx);
|
|
|
|
if ((p = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((a = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((b = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((x = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((y = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((order = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((cofactor = BN_CTX_get(ctx)) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
|
|
if (BN_bin2bn(curve->p, curve->param_len, p) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if (BN_bin2bn(curve->a, curve->param_len, a) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if (BN_bin2bn(curve->b, curve->param_len, b) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
EC_GROUP_set_curve_name(group, curve->nid);
|
|
|
|
if ((generator = EC_POINT_new(group)) == NULL) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
if (BN_bin2bn(curve->x, curve->param_len, x) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if (BN_bin2bn(curve->y, curve->param_len, y) == NULL) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if (!EC_POINT_set_affine_coordinates(group, generator, x, y, ctx)) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
if (BN_bin2bn(curve->order, curve->param_len, order) == NULL) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
if (!BN_set_word(cofactor, curve->cofactor)) {
|
|
ECerror(ERR_R_BN_LIB);
|
|
goto err;
|
|
}
|
|
if (!EC_GROUP_set_generator(group, generator, order, cofactor)) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
|
|
if (curve->seed != NULL) {
|
|
if (!EC_GROUP_set_seed(group, curve->seed, curve->seed_len)) {
|
|
ECerror(ERR_R_EC_LIB);
|
|
goto err;
|
|
}
|
|
}
|
|
|
|
ret = group;
|
|
group = NULL;
|
|
|
|
err:
|
|
EC_GROUP_free(group);
|
|
EC_POINT_free(generator);
|
|
BN_CTX_end(ctx);
|
|
BN_CTX_free(ctx);
|
|
|
|
return ret;
|
|
}
|
|
|
|
EC_GROUP *
|
|
EC_GROUP_new_by_curve_name(int nid)
|
|
{
|
|
size_t i;
|
|
|
|
if (nid <= 0)
|
|
return NULL;
|
|
|
|
for (i = 0; i < CURVE_LIST_LENGTH; i++) {
|
|
if (curve_list[i].nid == nid)
|
|
return ec_group_new_from_data(&curve_list[i]);
|
|
}
|
|
|
|
ECerror(EC_R_UNKNOWN_GROUP);
|
|
return NULL;
|
|
}
|
|
|
|
size_t
|
|
EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems)
|
|
{
|
|
size_t i, min;
|
|
|
|
if (r == NULL || nitems == 0)
|
|
return CURVE_LIST_LENGTH;
|
|
|
|
min = nitems < CURVE_LIST_LENGTH ? nitems : CURVE_LIST_LENGTH;
|
|
|
|
for (i = 0; i < min; i++) {
|
|
r[i].nid = curve_list[i].nid;
|
|
r[i].comment = curve_list[i].comment;
|
|
}
|
|
|
|
return CURVE_LIST_LENGTH;
|
|
}
|
|
|
|
static const struct {
|
|
const char *name;
|
|
int nid;
|
|
} nist_curves[] = {
|
|
{ "B-163", NID_sect163r2 },
|
|
{ "B-233", NID_sect233r1 },
|
|
{ "B-283", NID_sect283r1 },
|
|
{ "B-409", NID_sect409r1 },
|
|
{ "B-571", NID_sect571r1 },
|
|
{ "K-163", NID_sect163k1 },
|
|
{ "K-233", NID_sect233k1 },
|
|
{ "K-283", NID_sect283k1 },
|
|
{ "K-409", NID_sect409k1 },
|
|
{ "K-571", NID_sect571k1 },
|
|
{ "P-192", NID_X9_62_prime192v1 },
|
|
{ "P-224", NID_secp224r1 },
|
|
{ "P-256", NID_X9_62_prime256v1 },
|
|
{ "P-384", NID_secp384r1 },
|
|
{ "P-521", NID_secp521r1 }
|
|
};
|
|
|
|
const char *
|
|
EC_curve_nid2nist(int nid)
|
|
{
|
|
size_t i;
|
|
|
|
for (i = 0; i < sizeof(nist_curves) / sizeof(nist_curves[0]); i++) {
|
|
if (nist_curves[i].nid == nid)
|
|
return nist_curves[i].name;
|
|
}
|
|
|
|
return NULL;
|
|
}
|
|
|
|
int
|
|
EC_curve_nist2nid(const char *name)
|
|
{
|
|
size_t i;
|
|
|
|
for (i = 0; i < sizeof(nist_curves) / sizeof(nist_curves[0]); i++) {
|
|
if (strcmp(nist_curves[i].name, name) == 0)
|
|
return nist_curves[i].nid;
|
|
}
|
|
|
|
return NID_undef;
|
|
}
|