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1308e022 1/*
0d664759 2 * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
1308e022
MC
3 *
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
8 */
6853d093
MC
9#include <stdio.h>
10#include <string.h>
11#include <openssl/e_os2.h>
c255e98e 12#include <openssl/evp.h>
b8a3f39b
RL
13
14#ifdef __VMS
15# pragma names save
16# pragma names as_is,shortened
17#endif
18
6853d093 19#include "curve448_lcl.h"
b8a3f39b
RL
20
21#ifdef __VMS
22# pragma names restore
23#endif
24
e54f5f39
MC
25#include "testutil.h"
26
27static unsigned int max = 1000;
28static unsigned int verbose = 0;
6853d093 29
4ea41daa 30/* Test vectors from RFC7748 for X448 */
6853d093 31
7d9e120f 32static const uint8_t in_scalar1[56] = {
6853d093
MC
33 0x3d, 0x26, 0x2f, 0xdd, 0xf9, 0xec, 0x8e, 0x88, 0x49, 0x52, 0x66, 0xfe,
34 0xa1, 0x9a, 0x34, 0xd2, 0x88, 0x82, 0xac, 0xef, 0x04, 0x51, 0x04, 0xd0,
35 0xd1, 0xaa, 0xe1, 0x21, 0x70, 0x0a, 0x77, 0x9c, 0x98, 0x4c, 0x24, 0xf8,
36 0xcd, 0xd7, 0x8f, 0xbf, 0xf4, 0x49, 0x43, 0xeb, 0xa3, 0x68, 0xf5, 0x4b,
37 0x29, 0x25, 0x9a, 0x4f, 0x1c, 0x60, 0x0a, 0xd3
38};
39
7d9e120f 40static const uint8_t in_u1[56] = {
6853d093
MC
41 0x06, 0xfc, 0xe6, 0x40, 0xfa, 0x34, 0x87, 0xbf, 0xda, 0x5f, 0x6c, 0xf2,
42 0xd5, 0x26, 0x3f, 0x8a, 0xad, 0x88, 0x33, 0x4c, 0xbd, 0x07, 0x43, 0x7f,
43 0x02, 0x0f, 0x08, 0xf9, 0x81, 0x4d, 0xc0, 0x31, 0xdd, 0xbd, 0xc3, 0x8c,
44 0x19, 0xc6, 0xda, 0x25, 0x83, 0xfa, 0x54, 0x29, 0xdb, 0x94, 0xad, 0xa1,
45 0x8a, 0xa7, 0xa7, 0xfb, 0x4e, 0xf8, 0xa0, 0x86
46};
47
7d9e120f 48static const uint8_t out_u1[56] = {
6853d093
MC
49 0xce, 0x3e, 0x4f, 0xf9, 0x5a, 0x60, 0xdc, 0x66, 0x97, 0xda, 0x1d, 0xb1,
50 0xd8, 0x5e, 0x6a, 0xfb, 0xdf, 0x79, 0xb5, 0x0a, 0x24, 0x12, 0xd7, 0x54,
51 0x6d, 0x5f, 0x23, 0x9f, 0xe1, 0x4f, 0xba, 0xad, 0xeb, 0x44, 0x5f, 0xc6,
52 0x6a, 0x01, 0xb0, 0x77, 0x9d, 0x98, 0x22, 0x39, 0x61, 0x11, 0x1e, 0x21,
53 0x76, 0x62, 0x82, 0xf7, 0x3d, 0xd9, 0x6b, 0x6f
54};
55
7d9e120f 56static const uint8_t in_scalar2[56] = {
6853d093
MC
57 0x20, 0x3d, 0x49, 0x44, 0x28, 0xb8, 0x39, 0x93, 0x52, 0x66, 0x5d, 0xdc,
58 0xa4, 0x2f, 0x9d, 0xe8, 0xfe, 0xf6, 0x00, 0x90, 0x8e, 0x0d, 0x46, 0x1c,
59 0xb0, 0x21, 0xf8, 0xc5, 0x38, 0x34, 0x5d, 0xd7, 0x7c, 0x3e, 0x48, 0x06,
60 0xe2, 0x5f, 0x46, 0xd3, 0x31, 0x5c, 0x44, 0xe0, 0xa5, 0xb4, 0x37, 0x12,
61 0x82, 0xdd, 0x2c, 0x8d, 0x5b, 0xe3, 0x09, 0x5f
62};
63
7d9e120f 64static const uint8_t in_u2[56] = {
6853d093
MC
65 0x0f, 0xbc, 0xc2, 0xf9, 0x93, 0xcd, 0x56, 0xd3, 0x30, 0x5b, 0x0b, 0x7d,
66 0x9e, 0x55, 0xd4, 0xc1, 0xa8, 0xfb, 0x5d, 0xbb, 0x52, 0xf8, 0xe9, 0xa1,
67 0xe9, 0xb6, 0x20, 0x1b, 0x16, 0x5d, 0x01, 0x58, 0x94, 0xe5, 0x6c, 0x4d,
68 0x35, 0x70, 0xbe, 0xe5, 0x2f, 0xe2, 0x05, 0xe2, 0x8a, 0x78, 0xb9, 0x1c,
69 0xdf, 0xbd, 0xe7, 0x1c, 0xe8, 0xd1, 0x57, 0xdb
70};
71
7d9e120f 72static const uint8_t out_u2[56] = {
6853d093
MC
73 0x88, 0x4a, 0x02, 0x57, 0x62, 0x39, 0xff, 0x7a, 0x2f, 0x2f, 0x63, 0xb2,
74 0xdb, 0x6a, 0x9f, 0xf3, 0x70, 0x47, 0xac, 0x13, 0x56, 0x8e, 0x1e, 0x30,
75 0xfe, 0x63, 0xc4, 0xa7, 0xad, 0x1b, 0x3e, 0xe3, 0xa5, 0x70, 0x0d, 0xf3,
76 0x43, 0x21, 0xd6, 0x20, 0x77, 0xe6, 0x36, 0x33, 0xc5, 0x75, 0xc1, 0xc9,
77 0x54, 0x51, 0x4e, 0x99, 0xda, 0x7c, 0x17, 0x9d
78};
79
7d9e120f 80static const uint8_t in_u3[56] = {
6853d093
MC
81 0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
82 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
83 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
84 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
85 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
86};
87
7d9e120f 88static const uint8_t out_u3[3][56] = {
6853d093 89 {
e54f5f39
MC
90 0x3f, 0x48, 0x2c, 0x8a, 0x9f, 0x19, 0xb0, 0x1e, 0x6c, 0x46, 0xee, 0x97,
91 0x11, 0xd9, 0xdc, 0x14, 0xfd, 0x4b, 0xf6, 0x7a, 0xf3, 0x07, 0x65, 0xc2,
92 0xae, 0x2b, 0x84, 0x6a, 0x4d, 0x23, 0xa8, 0xcd, 0x0d, 0xb8, 0x97, 0x08,
93 0x62, 0x39, 0x49, 0x2c, 0xaf, 0x35, 0x0b, 0x51, 0xf8, 0x33, 0x86, 0x8b,
94 0x9b, 0xc2, 0xb3, 0xbc, 0xa9, 0xcf, 0x41, 0x13
95 }, {
96 0xaa, 0x3b, 0x47, 0x49, 0xd5, 0x5b, 0x9d, 0xaf, 0x1e, 0x5b, 0x00, 0x28,
97 0x88, 0x26, 0xc4, 0x67, 0x27, 0x4c, 0xe3, 0xeb, 0xbd, 0xd5, 0xc1, 0x7b,
98 0x97, 0x5e, 0x09, 0xd4, 0xaf, 0x6c, 0x67, 0xcf, 0x10, 0xd0, 0x87, 0x20,
99 0x2d, 0xb8, 0x82, 0x86, 0xe2, 0xb7, 0x9f, 0xce, 0xea, 0x3e, 0xc3, 0x53,
100 0xef, 0x54, 0xfa, 0xa2, 0x6e, 0x21, 0x9f, 0x38
101 }, {
102 0x07, 0x7f, 0x45, 0x36, 0x81, 0xca, 0xca, 0x36, 0x93, 0x19, 0x84, 0x20,
103 0xbb, 0xe5, 0x15, 0xca, 0xe0, 0x00, 0x24, 0x72, 0x51, 0x9b, 0x3e, 0x67,
104 0x66, 0x1a, 0x7e, 0x89, 0xca, 0xb9, 0x46, 0x95, 0xc8, 0xf4, 0xbc, 0xd6,
105 0x6e, 0x61, 0xb9, 0xb9, 0xc9, 0x46, 0xda, 0x8d, 0x52, 0x4d, 0xe3, 0xd6,
106 0x9b, 0xd9, 0xd9, 0xd6, 0x6b, 0x99, 0x7e, 0x37
107 }
6853d093
MC
108};
109
4ea41daa
MC
110/* Test vectors from RFC8032 for Ed448 */
111
6ea71cba
MC
112/* Pure Ed448 */
113
7d9e120f 114static const uint8_t privkey1[57] = {
4ea41daa
MC
115 0x6c, 0x82, 0xa5, 0x62, 0xcb, 0x80, 0x8d, 0x10, 0xd6, 0x32, 0xbe, 0x89,
116 0xc8, 0x51, 0x3e, 0xbf, 0x6c, 0x92, 0x9f, 0x34, 0xdd, 0xfa, 0x8c, 0x9f,
117 0x63, 0xc9, 0x96, 0x0e, 0xf6, 0xe3, 0x48, 0xa3, 0x52, 0x8c, 0x8a, 0x3f,
118 0xcc, 0x2f, 0x04, 0x4e, 0x39, 0xa3, 0xfc, 0x5b, 0x94, 0x49, 0x2f, 0x8f,
119 0x03, 0x2e, 0x75, 0x49, 0xa2, 0x00, 0x98, 0xf9, 0x5b
120};
121
7d9e120f 122static const uint8_t pubkey1[57] = {
4ea41daa
MC
123 0x5f, 0xd7, 0x44, 0x9b, 0x59, 0xb4, 0x61, 0xfd, 0x2c, 0xe7, 0x87, 0xec,
124 0x61, 0x6a, 0xd4, 0x6a, 0x1d, 0xa1, 0x34, 0x24, 0x85, 0xa7, 0x0e, 0x1f,
125 0x8a, 0x0e, 0xa7, 0x5d, 0x80, 0xe9, 0x67, 0x78, 0xed, 0xf1, 0x24, 0x76,
126 0x9b, 0x46, 0xc7, 0x06, 0x1b, 0xd6, 0x78, 0x3d, 0xf1, 0xe5, 0x0f, 0x6c,
127 0xd1, 0xfa, 0x1a, 0xbe, 0xaf, 0xe8, 0x25, 0x61, 0x80
128};
129
7d9e120f 130static const uint8_t sig1[114] = {
4ea41daa
MC
131 0x53, 0x3a, 0x37, 0xf6, 0xbb, 0xe4, 0x57, 0x25, 0x1f, 0x02, 0x3c, 0x0d,
132 0x88, 0xf9, 0x76, 0xae, 0x2d, 0xfb, 0x50, 0x4a, 0x84, 0x3e, 0x34, 0xd2,
133 0x07, 0x4f, 0xd8, 0x23, 0xd4, 0x1a, 0x59, 0x1f, 0x2b, 0x23, 0x3f, 0x03,
134 0x4f, 0x62, 0x82, 0x81, 0xf2, 0xfd, 0x7a, 0x22, 0xdd, 0xd4, 0x7d, 0x78,
135 0x28, 0xc5, 0x9b, 0xd0, 0xa2, 0x1b, 0xfd, 0x39, 0x80, 0xff, 0x0d, 0x20,
136 0x28, 0xd4, 0xb1, 0x8a, 0x9d, 0xf6, 0x3e, 0x00, 0x6c, 0x5d, 0x1c, 0x2d,
137 0x34, 0x5b, 0x92, 0x5d, 0x8d, 0xc0, 0x0b, 0x41, 0x04, 0x85, 0x2d, 0xb9,
138 0x9a, 0xc5, 0xc7, 0xcd, 0xda, 0x85, 0x30, 0xa1, 0x13, 0xa0, 0xf4, 0xdb,
139 0xb6, 0x11, 0x49, 0xf0, 0x5a, 0x73, 0x63, 0x26, 0x8c, 0x71, 0xd9, 0x58,
140 0x08, 0xff, 0x2e, 0x65, 0x26, 0x00
141};
142
7d9e120f 143static const uint8_t privkey2[57] = {
4ea41daa
MC
144 0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4,
145 0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d,
146 0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5,
147 0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e,
148 0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e
149};
150
7d9e120f 151static const uint8_t pubkey2[57] = {
4ea41daa
MC
152 0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54,
153 0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37,
154 0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb,
155 0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c,
156 0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80
157};
158
7d9e120f 159static const uint8_t msg2[1] = {
4ea41daa
MC
160 0x03
161};
162
7d9e120f 163static const uint8_t sig2[114] = {
4ea41daa
MC
164 0x26, 0xb8, 0xf9, 0x17, 0x27, 0xbd, 0x62, 0x89, 0x7a, 0xf1, 0x5e, 0x41,
165 0xeb, 0x43, 0xc3, 0x77, 0xef, 0xb9, 0xc6, 0x10, 0xd4, 0x8f, 0x23, 0x35,
166 0xcb, 0x0b, 0xd0, 0x08, 0x78, 0x10, 0xf4, 0x35, 0x25, 0x41, 0xb1, 0x43,
167 0xc4, 0xb9, 0x81, 0xb7, 0xe1, 0x8f, 0x62, 0xde, 0x8c, 0xcd, 0xf6, 0x33,
168 0xfc, 0x1b, 0xf0, 0x37, 0xab, 0x7c, 0xd7, 0x79, 0x80, 0x5e, 0x0d, 0xbc,
169 0xc0, 0xaa, 0xe1, 0xcb, 0xce, 0xe1, 0xaf, 0xb2, 0xe0, 0x27, 0xdf, 0x36,
170 0xbc, 0x04, 0xdc, 0xec, 0xbf, 0x15, 0x43, 0x36, 0xc1, 0x9f, 0x0a, 0xf7,
171 0xe0, 0xa6, 0x47, 0x29, 0x05, 0xe7, 0x99, 0xf1, 0x95, 0x3d, 0x2a, 0x0f,
172 0xf3, 0x34, 0x8a, 0xb2, 0x1a, 0xa4, 0xad, 0xaf, 0xd1, 0xd2, 0x34, 0x44,
173 0x1c, 0xf8, 0x07, 0xc0, 0x3a, 0x00
174};
175
7d9e120f 176static const uint8_t privkey3[57] = {
4ea41daa
MC
177 0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4,
178 0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d,
179 0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5,
180 0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e,
181 0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e
182};
183
7d9e120f 184static const uint8_t pubkey3[57] = {
4ea41daa
MC
185 0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54,
186 0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37,
187 0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb,
188 0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c,
189 0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80
190};
191
7d9e120f 192static const uint8_t msg3[1] = {
4ea41daa
MC
193 0x03
194};
195
7d9e120f 196static const uint8_t context3[3] = {
4ea41daa
MC
197 0x66, 0x6f, 0x6f
198};
199
7d9e120f 200static const uint8_t sig3[114] = {
4ea41daa
MC
201 0xd4, 0xf8, 0xf6, 0x13, 0x17, 0x70, 0xdd, 0x46, 0xf4, 0x08, 0x67, 0xd6,
202 0xfd, 0x5d, 0x50, 0x55, 0xde, 0x43, 0x54, 0x1f, 0x8c, 0x5e, 0x35, 0xab,
203 0xbc, 0xd0, 0x01, 0xb3, 0x2a, 0x89, 0xf7, 0xd2, 0x15, 0x1f, 0x76, 0x47,
204 0xf1, 0x1d, 0x8c, 0xa2, 0xae, 0x27, 0x9f, 0xb8, 0x42, 0xd6, 0x07, 0x21,
205 0x7f, 0xce, 0x6e, 0x04, 0x2f, 0x68, 0x15, 0xea, 0x00, 0x0c, 0x85, 0x74,
206 0x1d, 0xe5, 0xc8, 0xda, 0x11, 0x44, 0xa6, 0xa1, 0xab, 0xa7, 0xf9, 0x6d,
207 0xe4, 0x25, 0x05, 0xd7, 0xa7, 0x29, 0x85, 0x24, 0xfd, 0xa5, 0x38, 0xfc,
208 0xcb, 0xbb, 0x75, 0x4f, 0x57, 0x8c, 0x1c, 0xad, 0x10, 0xd5, 0x4d, 0x0d,
209 0x54, 0x28, 0x40, 0x7e, 0x85, 0xdc, 0xbc, 0x98, 0xa4, 0x91, 0x55, 0xc1,
210 0x37, 0x64, 0xe6, 0x6c, 0x3c, 0x00
211};
212
7d9e120f 213static const uint8_t privkey4[57] = {
4ea41daa
MC
214 0xcd, 0x23, 0xd2, 0x4f, 0x71, 0x42, 0x74, 0xe7, 0x44, 0x34, 0x32, 0x37,
215 0xb9, 0x32, 0x90, 0xf5, 0x11, 0xf6, 0x42, 0x5f, 0x98, 0xe6, 0x44, 0x59,
216 0xff, 0x20, 0x3e, 0x89, 0x85, 0x08, 0x3f, 0xfd, 0xf6, 0x05, 0x00, 0x55,
217 0x3a, 0xbc, 0x0e, 0x05, 0xcd, 0x02, 0x18, 0x4b, 0xdb, 0x89, 0xc4, 0xcc,
218 0xd6, 0x7e, 0x18, 0x79, 0x51, 0x26, 0x7e, 0xb3, 0x28
219};
220
7d9e120f 221static const uint8_t pubkey4[57] = {
4ea41daa
MC
222 0xdc, 0xea, 0x9e, 0x78, 0xf3, 0x5a, 0x1b, 0xf3, 0x49, 0x9a, 0x83, 0x1b,
223 0x10, 0xb8, 0x6c, 0x90, 0xaa, 0xc0, 0x1c, 0xd8, 0x4b, 0x67, 0xa0, 0x10,
224 0x9b, 0x55, 0xa3, 0x6e, 0x93, 0x28, 0xb1, 0xe3, 0x65, 0xfc, 0xe1, 0x61,
225 0xd7, 0x1c, 0xe7, 0x13, 0x1a, 0x54, 0x3e, 0xa4, 0xcb, 0x5f, 0x7e, 0x9f,
226 0x1d, 0x8b, 0x00, 0x69, 0x64, 0x47, 0x00, 0x14, 0x00
227};
228
7d9e120f 229static const uint8_t msg4[11] = {
4ea41daa
MC
230 0x0c, 0x3e, 0x54, 0x40, 0x74, 0xec, 0x63, 0xb0, 0x26, 0x5e, 0x0c
231};
232
7d9e120f 233static const uint8_t sig4[114] = {
4ea41daa
MC
234 0x1f, 0x0a, 0x88, 0x88, 0xce, 0x25, 0xe8, 0xd4, 0x58, 0xa2, 0x11, 0x30,
235 0x87, 0x9b, 0x84, 0x0a, 0x90, 0x89, 0xd9, 0x99, 0xaa, 0xba, 0x03, 0x9e,
236 0xaf, 0x3e, 0x3a, 0xfa, 0x09, 0x0a, 0x09, 0xd3, 0x89, 0xdb, 0xa8, 0x2c,
237 0x4f, 0xf2, 0xae, 0x8a, 0xc5, 0xcd, 0xfb, 0x7c, 0x55, 0xe9, 0x4d, 0x5d,
238 0x96, 0x1a, 0x29, 0xfe, 0x01, 0x09, 0x94, 0x1e, 0x00, 0xb8, 0xdb, 0xde,
239 0xea, 0x6d, 0x3b, 0x05, 0x10, 0x68, 0xdf, 0x72, 0x54, 0xc0, 0xcd, 0xc1,
240 0x29, 0xcb, 0xe6, 0x2d, 0xb2, 0xdc, 0x95, 0x7d, 0xbb, 0x47, 0xb5, 0x1f,
241 0xd3, 0xf2, 0x13, 0xfb, 0x86, 0x98, 0xf0, 0x64, 0x77, 0x42, 0x50, 0xa5,
242 0x02, 0x89, 0x61, 0xc9, 0xbf, 0x8f, 0xfd, 0x97, 0x3f, 0xe5, 0xd5, 0xc2,
243 0x06, 0x49, 0x2b, 0x14, 0x0e, 0x00
244};
245
7d9e120f 246static const uint8_t privkey5[57] = {
4ea41daa
MC
247 0x25, 0x8c, 0xdd, 0x4a, 0xda, 0x32, 0xed, 0x9c, 0x9f, 0xf5, 0x4e, 0x63,
248 0x75, 0x6a, 0xe5, 0x82, 0xfb, 0x8f, 0xab, 0x2a, 0xc7, 0x21, 0xf2, 0xc8,
249 0xe6, 0x76, 0xa7, 0x27, 0x68, 0x51, 0x3d, 0x93, 0x9f, 0x63, 0xdd, 0xdb,
250 0x55, 0x60, 0x91, 0x33, 0xf2, 0x9a, 0xdf, 0x86, 0xec, 0x99, 0x29, 0xdc,
251 0xcb, 0x52, 0xc1, 0xc5, 0xfd, 0x2f, 0xf7, 0xe2, 0x1b
252};
253
7d9e120f 254static const uint8_t pubkey5[57] = {
4ea41daa
MC
255 0x3b, 0xa1, 0x6d, 0xa0, 0xc6, 0xf2, 0xcc, 0x1f, 0x30, 0x18, 0x77, 0x40,
256 0x75, 0x6f, 0x5e, 0x79, 0x8d, 0x6b, 0xc5, 0xfc, 0x01, 0x5d, 0x7c, 0x63,
257 0xcc, 0x95, 0x10, 0xee, 0x3f, 0xd4, 0x4a, 0xdc, 0x24, 0xd8, 0xe9, 0x68,
258 0xb6, 0xe4, 0x6e, 0x6f, 0x94, 0xd1, 0x9b, 0x94, 0x53, 0x61, 0x72, 0x6b,
259 0xd7, 0x5e, 0x14, 0x9e, 0xf0, 0x98, 0x17, 0xf5, 0x80
260};
261
7d9e120f 262static const uint8_t msg5[12] = {
4ea41daa
MC
263 0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15
264};
265
7d9e120f 266static const uint8_t sig5[114] = {
4ea41daa
MC
267 0x7e, 0xee, 0xab, 0x7c, 0x4e, 0x50, 0xfb, 0x79, 0x9b, 0x41, 0x8e, 0xe5,
268 0xe3, 0x19, 0x7f, 0xf6, 0xbf, 0x15, 0xd4, 0x3a, 0x14, 0xc3, 0x43, 0x89,
269 0xb5, 0x9d, 0xd1, 0xa7, 0xb1, 0xb8, 0x5b, 0x4a, 0xe9, 0x04, 0x38, 0xac,
270 0xa6, 0x34, 0xbe, 0xa4, 0x5e, 0x3a, 0x26, 0x95, 0xf1, 0x27, 0x0f, 0x07,
271 0xfd, 0xcd, 0xf7, 0xc6, 0x2b, 0x8e, 0xfe, 0xaf, 0x00, 0xb4, 0x5c, 0x2c,
272 0x96, 0xba, 0x45, 0x7e, 0xb1, 0xa8, 0xbf, 0x07, 0x5a, 0x3d, 0xb2, 0x8e,
273 0x5c, 0x24, 0xf6, 0xb9, 0x23, 0xed, 0x4a, 0xd7, 0x47, 0xc3, 0xc9, 0xe0,
274 0x3c, 0x70, 0x79, 0xef, 0xb8, 0x7c, 0xb1, 0x10, 0xd3, 0xa9, 0x98, 0x61,
275 0xe7, 0x20, 0x03, 0xcb, 0xae, 0x6d, 0x6b, 0x8b, 0x82, 0x7e, 0x4e, 0x6c,
276 0x14, 0x30, 0x64, 0xff, 0x3c, 0x00
277};
278
7d9e120f 279static const uint8_t privkey6[57] = {
4ea41daa
MC
280 0x7e, 0xf4, 0xe8, 0x45, 0x44, 0x23, 0x67, 0x52, 0xfb, 0xb5, 0x6b, 0x8f,
281 0x31, 0xa2, 0x3a, 0x10, 0xe4, 0x28, 0x14, 0xf5, 0xf5, 0x5c, 0xa0, 0x37,
282 0xcd, 0xcc, 0x11, 0xc6, 0x4c, 0x9a, 0x3b, 0x29, 0x49, 0xc1, 0xbb, 0x60,
283 0x70, 0x03, 0x14, 0x61, 0x17, 0x32, 0xa6, 0xc2, 0xfe, 0xa9, 0x8e, 0xeb,
284 0xc0, 0x26, 0x6a, 0x11, 0xa9, 0x39, 0x70, 0x10, 0x0e
285};
286
7d9e120f 287static const uint8_t pubkey6[57] = {
4ea41daa
MC
288 0xb3, 0xda, 0x07, 0x9b, 0x0a, 0xa4, 0x93, 0xa5, 0x77, 0x20, 0x29, 0xf0,
289 0x46, 0x7b, 0xae, 0xbe, 0xe5, 0xa8, 0x11, 0x2d, 0x9d, 0x3a, 0x22, 0x53,
290 0x23, 0x61, 0xda, 0x29, 0x4f, 0x7b, 0xb3, 0x81, 0x5c, 0x5d, 0xc5, 0x9e,
291 0x17, 0x6b, 0x4d, 0x9f, 0x38, 0x1c, 0xa0, 0x93, 0x8e, 0x13, 0xc6, 0xc0,
292 0x7b, 0x17, 0x4b, 0xe6, 0x5d, 0xfa, 0x57, 0x8e, 0x80
293};
294
7d9e120f 295static const uint8_t msg6[13] = {
4ea41daa
MC
296 0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15,
297 0xe7
298};
299
7d9e120f 300static const uint8_t sig6[114] = {
4ea41daa
MC
301 0x6a, 0x12, 0x06, 0x6f, 0x55, 0x33, 0x1b, 0x6c, 0x22, 0xac, 0xd5, 0xd5,
302 0xbf, 0xc5, 0xd7, 0x12, 0x28, 0xfb, 0xda, 0x80, 0xae, 0x8d, 0xec, 0x26,
303 0xbd, 0xd3, 0x06, 0x74, 0x3c, 0x50, 0x27, 0xcb, 0x48, 0x90, 0x81, 0x0c,
304 0x16, 0x2c, 0x02, 0x74, 0x68, 0x67, 0x5e, 0xcf, 0x64, 0x5a, 0x83, 0x17,
305 0x6c, 0x0d, 0x73, 0x23, 0xa2, 0xcc, 0xde, 0x2d, 0x80, 0xef, 0xe5, 0xa1,
306 0x26, 0x8e, 0x8a, 0xca, 0x1d, 0x6f, 0xbc, 0x19, 0x4d, 0x3f, 0x77, 0xc4,
307 0x49, 0x86, 0xeb, 0x4a, 0xb4, 0x17, 0x79, 0x19, 0xad, 0x8b, 0xec, 0x33,
308 0xeb, 0x47, 0xbb, 0xb5, 0xfc, 0x6e, 0x28, 0x19, 0x6f, 0xd1, 0xca, 0xf5,
309 0x6b, 0x4e, 0x7e, 0x0b, 0xa5, 0x51, 0x92, 0x34, 0xd0, 0x47, 0x15, 0x5a,
310 0xc7, 0x27, 0xa1, 0x05, 0x31, 0x00
311};
312
7d9e120f 313static const uint8_t privkey7[57] = {
4ea41daa
MC
314 0xd6, 0x5d, 0xf3, 0x41, 0xad, 0x13, 0xe0, 0x08, 0x56, 0x76, 0x88, 0xba,
315 0xed, 0xda, 0x8e, 0x9d, 0xcd, 0xc1, 0x7d, 0xc0, 0x24, 0x97, 0x4e, 0xa5,
316 0xb4, 0x22, 0x7b, 0x65, 0x30, 0xe3, 0x39, 0xbf, 0xf2, 0x1f, 0x99, 0xe6,
317 0x8c, 0xa6, 0x96, 0x8f, 0x3c, 0xca, 0x6d, 0xfe, 0x0f, 0xb9, 0xf4, 0xfa,
318 0xb4, 0xfa, 0x13, 0x5d, 0x55, 0x42, 0xea, 0x3f, 0x01
319};
320
7d9e120f 321static const uint8_t pubkey7[57] = {
4ea41daa
MC
322 0xdf, 0x97, 0x05, 0xf5, 0x8e, 0xdb, 0xab, 0x80, 0x2c, 0x7f, 0x83, 0x63,
323 0xcf, 0xe5, 0x56, 0x0a, 0xb1, 0xc6, 0x13, 0x2c, 0x20, 0xa9, 0xf1, 0xdd,
324 0x16, 0x34, 0x83, 0xa2, 0x6f, 0x8a, 0xc5, 0x3a, 0x39, 0xd6, 0x80, 0x8b,
325 0xf4, 0xa1, 0xdf, 0xbd, 0x26, 0x1b, 0x09, 0x9b, 0xb0, 0x3b, 0x3f, 0xb5,
326 0x09, 0x06, 0xcb, 0x28, 0xbd, 0x8a, 0x08, 0x1f, 0x00
327};
328
7d9e120f 329static const uint8_t msg7[64] = {
4ea41daa
MC
330 0xbd, 0x0f, 0x6a, 0x37, 0x47, 0xcd, 0x56, 0x1b, 0xdd, 0xdf, 0x46, 0x40,
331 0xa3, 0x32, 0x46, 0x1a, 0x4a, 0x30, 0xa1, 0x2a, 0x43, 0x4c, 0xd0, 0xbf,
332 0x40, 0xd7, 0x66, 0xd9, 0xc6, 0xd4, 0x58, 0xe5, 0x51, 0x22, 0x04, 0xa3,
333 0x0c, 0x17, 0xd1, 0xf5, 0x0b, 0x50, 0x79, 0x63, 0x1f, 0x64, 0xeb, 0x31,
334 0x12, 0x18, 0x2d, 0xa3, 0x00, 0x58, 0x35, 0x46, 0x11, 0x13, 0x71, 0x8d,
335 0x1a, 0x5e, 0xf9, 0x44
336};
337
7d9e120f 338static const uint8_t sig7[114] = {
4ea41daa
MC
339 0x55, 0x4b, 0xc2, 0x48, 0x08, 0x60, 0xb4, 0x9e, 0xab, 0x85, 0x32, 0xd2,
340 0xa5, 0x33, 0xb7, 0xd5, 0x78, 0xef, 0x47, 0x3e, 0xeb, 0x58, 0xc9, 0x8b,
341 0xb2, 0xd0, 0xe1, 0xce, 0x48, 0x8a, 0x98, 0xb1, 0x8d, 0xfd, 0xe9, 0xb9,
342 0xb9, 0x07, 0x75, 0xe6, 0x7f, 0x47, 0xd4, 0xa1, 0xc3, 0x48, 0x20, 0x58,
343 0xef, 0xc9, 0xf4, 0x0d, 0x2c, 0xa0, 0x33, 0xa0, 0x80, 0x1b, 0x63, 0xd4,
344 0x5b, 0x3b, 0x72, 0x2e, 0xf5, 0x52, 0xba, 0xd3, 0xb4, 0xcc, 0xb6, 0x67,
345 0xda, 0x35, 0x01, 0x92, 0xb6, 0x1c, 0x50, 0x8c, 0xf7, 0xb6, 0xb5, 0xad,
346 0xad, 0xc2, 0xc8, 0xd9, 0xa4, 0x46, 0xef, 0x00, 0x3f, 0xb0, 0x5c, 0xba,
347 0x5f, 0x30, 0xe8, 0x8e, 0x36, 0xec, 0x27, 0x03, 0xb3, 0x49, 0xca, 0x22,
348 0x9c, 0x26, 0x70, 0x83, 0x39, 0x00
349};
350
7d9e120f 351static const uint8_t privkey8[57] = {
4ea41daa
MC
352 0x2e, 0xc5, 0xfe, 0x3c, 0x17, 0x04, 0x5a, 0xbd, 0xb1, 0x36, 0xa5, 0xe6,
353 0xa9, 0x13, 0xe3, 0x2a, 0xb7, 0x5a, 0xe6, 0x8b, 0x53, 0xd2, 0xfc, 0x14,
354 0x9b, 0x77, 0xe5, 0x04, 0x13, 0x2d, 0x37, 0x56, 0x9b, 0x7e, 0x76, 0x6b,
355 0xa7, 0x4a, 0x19, 0xbd, 0x61, 0x62, 0x34, 0x3a, 0x21, 0xc8, 0x59, 0x0a,
356 0xa9, 0xce, 0xbc, 0xa9, 0x01, 0x4c, 0x63, 0x6d, 0xf5
357};
358
7d9e120f 359static const uint8_t pubkey8[57] = {
4ea41daa
MC
360 0x79, 0x75, 0x6f, 0x01, 0x4d, 0xcf, 0xe2, 0x07, 0x9f, 0x5d, 0xd9, 0xe7,
361 0x18, 0xbe, 0x41, 0x71, 0xe2, 0xef, 0x24, 0x86, 0xa0, 0x8f, 0x25, 0x18,
362 0x6f, 0x6b, 0xff, 0x43, 0xa9, 0x93, 0x6b, 0x9b, 0xfe, 0x12, 0x40, 0x2b,
363 0x08, 0xae, 0x65, 0x79, 0x8a, 0x3d, 0x81, 0xe2, 0x2e, 0x9e, 0xc8, 0x0e,
364 0x76, 0x90, 0x86, 0x2e, 0xf3, 0xd4, 0xed, 0x3a, 0x00
365};
366
7d9e120f 367static const uint8_t msg8[256] = {
4ea41daa
MC
368 0x15, 0x77, 0x75, 0x32, 0xb0, 0xbd, 0xd0, 0xd1, 0x38, 0x9f, 0x63, 0x6c,
369 0x5f, 0x6b, 0x9b, 0xa7, 0x34, 0xc9, 0x0a, 0xf5, 0x72, 0x87, 0x7e, 0x2d,
370 0x27, 0x2d, 0xd0, 0x78, 0xaa, 0x1e, 0x56, 0x7c, 0xfa, 0x80, 0xe1, 0x29,
371 0x28, 0xbb, 0x54, 0x23, 0x30, 0xe8, 0x40, 0x9f, 0x31, 0x74, 0x50, 0x41,
372 0x07, 0xec, 0xd5, 0xef, 0xac, 0x61, 0xae, 0x75, 0x04, 0xda, 0xbe, 0x2a,
373 0x60, 0x2e, 0xde, 0x89, 0xe5, 0xcc, 0xa6, 0x25, 0x7a, 0x7c, 0x77, 0xe2,
374 0x7a, 0x70, 0x2b, 0x3a, 0xe3, 0x9f, 0xc7, 0x69, 0xfc, 0x54, 0xf2, 0x39,
375 0x5a, 0xe6, 0xa1, 0x17, 0x8c, 0xab, 0x47, 0x38, 0xe5, 0x43, 0x07, 0x2f,
376 0xc1, 0xc1, 0x77, 0xfe, 0x71, 0xe9, 0x2e, 0x25, 0xbf, 0x03, 0xe4, 0xec,
377 0xb7, 0x2f, 0x47, 0xb6, 0x4d, 0x04, 0x65, 0xaa, 0xea, 0x4c, 0x7f, 0xad,
378 0x37, 0x25, 0x36, 0xc8, 0xba, 0x51, 0x6a, 0x60, 0x39, 0xc3, 0xc2, 0xa3,
379 0x9f, 0x0e, 0x4d, 0x83, 0x2b, 0xe4, 0x32, 0xdf, 0xa9, 0xa7, 0x06, 0xa6,
380 0xe5, 0xc7, 0xe1, 0x9f, 0x39, 0x79, 0x64, 0xca, 0x42, 0x58, 0x00, 0x2f,
381 0x7c, 0x05, 0x41, 0xb5, 0x90, 0x31, 0x6d, 0xbc, 0x56, 0x22, 0xb6, 0xb2,
382 0xa6, 0xfe, 0x7a, 0x4a, 0xbf, 0xfd, 0x96, 0x10, 0x5e, 0xca, 0x76, 0xea,
383 0x7b, 0x98, 0x81, 0x6a, 0xf0, 0x74, 0x8c, 0x10, 0xdf, 0x04, 0x8c, 0xe0,
384 0x12, 0xd9, 0x01, 0x01, 0x5a, 0x51, 0xf1, 0x89, 0xf3, 0x88, 0x81, 0x45,
385 0xc0, 0x36, 0x50, 0xaa, 0x23, 0xce, 0x89, 0x4c, 0x3b, 0xd8, 0x89, 0xe0,
386 0x30, 0xd5, 0x65, 0x07, 0x1c, 0x59, 0xf4, 0x09, 0xa9, 0x98, 0x1b, 0x51,
387 0x87, 0x8f, 0xd6, 0xfc, 0x11, 0x06, 0x24, 0xdc, 0xbc, 0xde, 0x0b, 0xf7,
388 0xa6, 0x9c, 0xcc, 0xe3, 0x8f, 0xab, 0xdf, 0x86, 0xf3, 0xbe, 0xf6, 0x04,
389 0x48, 0x19, 0xde, 0x11
390};
391
7d9e120f 392static const uint8_t sig8[114] = {
4ea41daa
MC
393 0xc6, 0x50, 0xdd, 0xbb, 0x06, 0x01, 0xc1, 0x9c, 0xa1, 0x14, 0x39, 0xe1,
394 0x64, 0x0d, 0xd9, 0x31, 0xf4, 0x3c, 0x51, 0x8e, 0xa5, 0xbe, 0xa7, 0x0d,
395 0x3d, 0xcd, 0xe5, 0xf4, 0x19, 0x1f, 0xe5, 0x3f, 0x00, 0xcf, 0x96, 0x65,
396 0x46, 0xb7, 0x2b, 0xcc, 0x7d, 0x58, 0xbe, 0x2b, 0x9b, 0xad, 0xef, 0x28,
397 0x74, 0x39, 0x54, 0xe3, 0xa4, 0x4a, 0x23, 0xf8, 0x80, 0xe8, 0xd4, 0xf1,
398 0xcf, 0xce, 0x2d, 0x7a, 0x61, 0x45, 0x2d, 0x26, 0xda, 0x05, 0x89, 0x6f,
399 0x0a, 0x50, 0xda, 0x66, 0xa2, 0x39, 0xa8, 0xa1, 0x88, 0xb6, 0xd8, 0x25,
400 0xb3, 0x30, 0x5a, 0xd7, 0x7b, 0x73, 0xfb, 0xac, 0x08, 0x36, 0xec, 0xc6,
401 0x09, 0x87, 0xfd, 0x08, 0x52, 0x7c, 0x1a, 0x8e, 0x80, 0xd5, 0x82, 0x3e,
402 0x65, 0xca, 0xfe, 0x2a, 0x3d, 0x00
403};
404
7d9e120f 405static const uint8_t privkey9[57] = {
4ea41daa
MC
406 0x87, 0x2d, 0x09, 0x37, 0x80, 0xf5, 0xd3, 0x73, 0x0d, 0xf7, 0xc2, 0x12,
407 0x66, 0x4b, 0x37, 0xb8, 0xa0, 0xf2, 0x4f, 0x56, 0x81, 0x0d, 0xaa, 0x83,
408 0x82, 0xcd, 0x4f, 0xa3, 0xf7, 0x76, 0x34, 0xec, 0x44, 0xdc, 0x54, 0xf1,
409 0xc2, 0xed, 0x9b, 0xea, 0x86, 0xfa, 0xfb, 0x76, 0x32, 0xd8, 0xbe, 0x19,
410 0x9e, 0xa1, 0x65, 0xf5, 0xad, 0x55, 0xdd, 0x9c, 0xe8
411};
412
7d9e120f 413static const uint8_t pubkey9[57] = {
4ea41daa
MC
414 0xa8, 0x1b, 0x2e, 0x8a, 0x70, 0xa5, 0xac, 0x94, 0xff, 0xdb, 0xcc, 0x9b,
415 0xad, 0xfc, 0x3f, 0xeb, 0x08, 0x01, 0xf2, 0x58, 0x57, 0x8b, 0xb1, 0x14,
416 0xad, 0x44, 0xec, 0xe1, 0xec, 0x0e, 0x79, 0x9d, 0xa0, 0x8e, 0xff, 0xb8,
417 0x1c, 0x5d, 0x68, 0x5c, 0x0c, 0x56, 0xf6, 0x4e, 0xec, 0xae, 0xf8, 0xcd,
418 0xf1, 0x1c, 0xc3, 0x87, 0x37, 0x83, 0x8c, 0xf4, 0x00
419};
420
7d9e120f 421static const uint8_t msg9[1023] = {
4ea41daa
MC
422 0x6d, 0xdf, 0x80, 0x2e, 0x1a, 0xae, 0x49, 0x86, 0x93, 0x5f, 0x7f, 0x98,
423 0x1b, 0xa3, 0xf0, 0x35, 0x1d, 0x62, 0x73, 0xc0, 0xa0, 0xc2, 0x2c, 0x9c,
424 0x0e, 0x83, 0x39, 0x16, 0x8e, 0x67, 0x54, 0x12, 0xa3, 0xde, 0xbf, 0xaf,
425 0x43, 0x5e, 0xd6, 0x51, 0x55, 0x80, 0x07, 0xdb, 0x43, 0x84, 0xb6, 0x50,
426 0xfc, 0xc0, 0x7e, 0x3b, 0x58, 0x6a, 0x27, 0xa4, 0xf7, 0xa0, 0x0a, 0xc8,
427 0xa6, 0xfe, 0xc2, 0xcd, 0x86, 0xae, 0x4b, 0xf1, 0x57, 0x0c, 0x41, 0xe6,
428 0xa4, 0x0c, 0x93, 0x1d, 0xb2, 0x7b, 0x2f, 0xaa, 0x15, 0xa8, 0xce, 0xdd,
429 0x52, 0xcf, 0xf7, 0x36, 0x2c, 0x4e, 0x6e, 0x23, 0xda, 0xec, 0x0f, 0xbc,
430 0x3a, 0x79, 0xb6, 0x80, 0x6e, 0x31, 0x6e, 0xfc, 0xc7, 0xb6, 0x81, 0x19,
431 0xbf, 0x46, 0xbc, 0x76, 0xa2, 0x60, 0x67, 0xa5, 0x3f, 0x29, 0x6d, 0xaf,
432 0xdb, 0xdc, 0x11, 0xc7, 0x7f, 0x77, 0x77, 0xe9, 0x72, 0x66, 0x0c, 0xf4,
433 0xb6, 0xa9, 0xb3, 0x69, 0xa6, 0x66, 0x5f, 0x02, 0xe0, 0xcc, 0x9b, 0x6e,
434 0xdf, 0xad, 0x13, 0x6b, 0x4f, 0xab, 0xe7, 0x23, 0xd2, 0x81, 0x3d, 0xb3,
435 0x13, 0x6c, 0xfd, 0xe9, 0xb6, 0xd0, 0x44, 0x32, 0x2f, 0xee, 0x29, 0x47,
436 0x95, 0x2e, 0x03, 0x1b, 0x73, 0xab, 0x5c, 0x60, 0x33, 0x49, 0xb3, 0x07,
437 0xbd, 0xc2, 0x7b, 0xc6, 0xcb, 0x8b, 0x8b, 0xbd, 0x7b, 0xd3, 0x23, 0x21,
438 0x9b, 0x80, 0x33, 0xa5, 0x81, 0xb5, 0x9e, 0xad, 0xeb, 0xb0, 0x9b, 0x3c,
439 0x4f, 0x3d, 0x22, 0x77, 0xd4, 0xf0, 0x34, 0x36, 0x24, 0xac, 0xc8, 0x17,
440 0x80, 0x47, 0x28, 0xb2, 0x5a, 0xb7, 0x97, 0x17, 0x2b, 0x4c, 0x5c, 0x21,
441 0xa2, 0x2f, 0x9c, 0x78, 0x39, 0xd6, 0x43, 0x00, 0x23, 0x2e, 0xb6, 0x6e,
442 0x53, 0xf3, 0x1c, 0x72, 0x3f, 0xa3, 0x7f, 0xe3, 0x87, 0xc7, 0xd3, 0xe5,
443 0x0b, 0xdf, 0x98, 0x13, 0xa3, 0x0e, 0x5b, 0xb1, 0x2c, 0xf4, 0xcd, 0x93,
444 0x0c, 0x40, 0xcf, 0xb4, 0xe1, 0xfc, 0x62, 0x25, 0x92, 0xa4, 0x95, 0x88,
445 0x79, 0x44, 0x94, 0xd5, 0x6d, 0x24, 0xea, 0x4b, 0x40, 0xc8, 0x9f, 0xc0,
446 0x59, 0x6c, 0xc9, 0xeb, 0xb9, 0x61, 0xc8, 0xcb, 0x10, 0xad, 0xde, 0x97,
447 0x6a, 0x5d, 0x60, 0x2b, 0x1c, 0x3f, 0x85, 0xb9, 0xb9, 0xa0, 0x01, 0xed,
448 0x3c, 0x6a, 0x4d, 0x3b, 0x14, 0x37, 0xf5, 0x20, 0x96, 0xcd, 0x19, 0x56,
449 0xd0, 0x42, 0xa5, 0x97, 0xd5, 0x61, 0xa5, 0x96, 0xec, 0xd3, 0xd1, 0x73,
450 0x5a, 0x8d, 0x57, 0x0e, 0xa0, 0xec, 0x27, 0x22, 0x5a, 0x2c, 0x4a, 0xaf,
451 0xf2, 0x63, 0x06, 0xd1, 0x52, 0x6c, 0x1a, 0xf3, 0xca, 0x6d, 0x9c, 0xf5,
452 0xa2, 0xc9, 0x8f, 0x47, 0xe1, 0xc4, 0x6d, 0xb9, 0xa3, 0x32, 0x34, 0xcf,
453 0xd4, 0xd8, 0x1f, 0x2c, 0x98, 0x53, 0x8a, 0x09, 0xeb, 0xe7, 0x69, 0x98,
454 0xd0, 0xd8, 0xfd, 0x25, 0x99, 0x7c, 0x7d, 0x25, 0x5c, 0x6d, 0x66, 0xec,
455 0xe6, 0xfa, 0x56, 0xf1, 0x11, 0x44, 0x95, 0x0f, 0x02, 0x77, 0x95, 0xe6,
456 0x53, 0x00, 0x8f, 0x4b, 0xd7, 0xca, 0x2d, 0xee, 0x85, 0xd8, 0xe9, 0x0f,
457 0x3d, 0xc3, 0x15, 0x13, 0x0c, 0xe2, 0xa0, 0x03, 0x75, 0xa3, 0x18, 0xc7,
458 0xc3, 0xd9, 0x7b, 0xe2, 0xc8, 0xce, 0x5b, 0x6d, 0xb4, 0x1a, 0x62, 0x54,
459 0xff, 0x26, 0x4f, 0xa6, 0x15, 0x5b, 0xae, 0xe3, 0xb0, 0x77, 0x3c, 0x0f,
460 0x49, 0x7c, 0x57, 0x3f, 0x19, 0xbb, 0x4f, 0x42, 0x40, 0x28, 0x1f, 0x0b,
461 0x1f, 0x4f, 0x7b, 0xe8, 0x57, 0xa4, 0xe5, 0x9d, 0x41, 0x6c, 0x06, 0xb4,
462 0xc5, 0x0f, 0xa0, 0x9e, 0x18, 0x10, 0xdd, 0xc6, 0xb1, 0x46, 0x7b, 0xae,
463 0xac, 0x5a, 0x36, 0x68, 0xd1, 0x1b, 0x6e, 0xca, 0xa9, 0x01, 0x44, 0x00,
464 0x16, 0xf3, 0x89, 0xf8, 0x0a, 0xcc, 0x4d, 0xb9, 0x77, 0x02, 0x5e, 0x7f,
465 0x59, 0x24, 0x38, 0x8c, 0x7e, 0x34, 0x0a, 0x73, 0x2e, 0x55, 0x44, 0x40,
466 0xe7, 0x65, 0x70, 0xf8, 0xdd, 0x71, 0xb7, 0xd6, 0x40, 0xb3, 0x45, 0x0d,
467 0x1f, 0xd5, 0xf0, 0x41, 0x0a, 0x18, 0xf9, 0xa3, 0x49, 0x4f, 0x70, 0x7c,
468 0x71, 0x7b, 0x79, 0xb4, 0xbf, 0x75, 0xc9, 0x84, 0x00, 0xb0, 0x96, 0xb2,
469 0x16, 0x53, 0xb5, 0xd2, 0x17, 0xcf, 0x35, 0x65, 0xc9, 0x59, 0x74, 0x56,
470 0xf7, 0x07, 0x03, 0x49, 0x7a, 0x07, 0x87, 0x63, 0x82, 0x9b, 0xc0, 0x1b,
471 0xb1, 0xcb, 0xc8, 0xfa, 0x04, 0xea, 0xdc, 0x9a, 0x6e, 0x3f, 0x66, 0x99,
472 0x58, 0x7a, 0x9e, 0x75, 0xc9, 0x4e, 0x5b, 0xab, 0x00, 0x36, 0xe0, 0xb2,
473 0xe7, 0x11, 0x39, 0x2c, 0xff, 0x00, 0x47, 0xd0, 0xd6, 0xb0, 0x5b, 0xd2,
474 0xa5, 0x88, 0xbc, 0x10, 0x97, 0x18, 0x95, 0x42, 0x59, 0xf1, 0xd8, 0x66,
475 0x78, 0xa5, 0x79, 0xa3, 0x12, 0x0f, 0x19, 0xcf, 0xb2, 0x96, 0x3f, 0x17,
476 0x7a, 0xeb, 0x70, 0xf2, 0xd4, 0x84, 0x48, 0x26, 0x26, 0x2e, 0x51, 0xb8,
477 0x02, 0x71, 0x27, 0x20, 0x68, 0xef, 0x5b, 0x38, 0x56, 0xfa, 0x85, 0x35,
478 0xaa, 0x2a, 0x88, 0xb2, 0xd4, 0x1f, 0x2a, 0x0e, 0x2f, 0xda, 0x76, 0x24,
479 0xc2, 0x85, 0x02, 0x72, 0xac, 0x4a, 0x2f, 0x56, 0x1f, 0x8f, 0x2f, 0x7a,
480 0x31, 0x8b, 0xfd, 0x5c, 0xaf, 0x96, 0x96, 0x14, 0x9e, 0x4a, 0xc8, 0x24,
481 0xad, 0x34, 0x60, 0x53, 0x8f, 0xdc, 0x25, 0x42, 0x1b, 0xee, 0xc2, 0xcc,
482 0x68, 0x18, 0x16, 0x2d, 0x06, 0xbb, 0xed, 0x0c, 0x40, 0xa3, 0x87, 0x19,
483 0x23, 0x49, 0xdb, 0x67, 0xa1, 0x18, 0xba, 0xda, 0x6c, 0xd5, 0xab, 0x01,
484 0x40, 0xee, 0x27, 0x32, 0x04, 0xf6, 0x28, 0xaa, 0xd1, 0xc1, 0x35, 0xf7,
485 0x70, 0x27, 0x9a, 0x65, 0x1e, 0x24, 0xd8, 0xc1, 0x4d, 0x75, 0xa6, 0x05,
486 0x9d, 0x76, 0xb9, 0x6a, 0x6f, 0xd8, 0x57, 0xde, 0xf5, 0xe0, 0xb3, 0x54,
487 0xb2, 0x7a, 0xb9, 0x37, 0xa5, 0x81, 0x5d, 0x16, 0xb5, 0xfa, 0xe4, 0x07,
488 0xff, 0x18, 0x22, 0x2c, 0x6d, 0x1e, 0xd2, 0x63, 0xbe, 0x68, 0xc9, 0x5f,
489 0x32, 0xd9, 0x08, 0xbd, 0x89, 0x5c, 0xd7, 0x62, 0x07, 0xae, 0x72, 0x64,
490 0x87, 0x56, 0x7f, 0x9a, 0x67, 0xda, 0xd7, 0x9a, 0xbe, 0xc3, 0x16, 0xf6,
491 0x83, 0xb1, 0x7f, 0x2d, 0x02, 0xbf, 0x07, 0xe0, 0xac, 0x8b, 0x5b, 0xc6,
492 0x16, 0x2c, 0xf9, 0x46, 0x97, 0xb3, 0xc2, 0x7c, 0xd1, 0xfe, 0xa4, 0x9b,
493 0x27, 0xf2, 0x3b, 0xa2, 0x90, 0x18, 0x71, 0x96, 0x25, 0x06, 0x52, 0x0c,
494 0x39, 0x2d, 0xa8, 0xb6, 0xad, 0x0d, 0x99, 0xf7, 0x01, 0x3f, 0xbc, 0x06,
495 0xc2, 0xc1, 0x7a, 0x56, 0x95, 0x00, 0xc8, 0xa7, 0x69, 0x64, 0x81, 0xc1,
496 0xcd, 0x33, 0xe9, 0xb1, 0x4e, 0x40, 0xb8, 0x2e, 0x79, 0xa5, 0xf5, 0xdb,
497 0x82, 0x57, 0x1b, 0xa9, 0x7b, 0xae, 0x3a, 0xd3, 0xe0, 0x47, 0x95, 0x15,
498 0xbb, 0x0e, 0x2b, 0x0f, 0x3b, 0xfc, 0xd1, 0xfd, 0x33, 0x03, 0x4e, 0xfc,
499 0x62, 0x45, 0xed, 0xdd, 0x7e, 0xe2, 0x08, 0x6d, 0xda, 0xe2, 0x60, 0x0d,
500 0x8c, 0xa7, 0x3e, 0x21, 0x4e, 0x8c, 0x2b, 0x0b, 0xdb, 0x2b, 0x04, 0x7c,
501 0x6a, 0x46, 0x4a, 0x56, 0x2e, 0xd7, 0x7b, 0x73, 0xd2, 0xd8, 0x41, 0xc4,
502 0xb3, 0x49, 0x73, 0x55, 0x12, 0x57, 0x71, 0x3b, 0x75, 0x36, 0x32, 0xef,
503 0xba, 0x34, 0x81, 0x69, 0xab, 0xc9, 0x0a, 0x68, 0xf4, 0x26, 0x11, 0xa4,
504 0x01, 0x26, 0xd7, 0xcb, 0x21, 0xb5, 0x86, 0x95, 0x56, 0x81, 0x86, 0xf7,
505 0xe5, 0x69, 0xd2, 0xff, 0x0f, 0x9e, 0x74, 0x5d, 0x04, 0x87, 0xdd, 0x2e,
506 0xb9, 0x97, 0xca, 0xfc, 0x5a, 0xbf, 0x9d, 0xd1, 0x02, 0xe6, 0x2f, 0xf6,
507 0x6c, 0xba, 0x87
508};
509
7d9e120f 510static const uint8_t sig9[114] = {
4ea41daa
MC
511 0xe3, 0x01, 0x34, 0x5a, 0x41, 0xa3, 0x9a, 0x4d, 0x72, 0xff, 0xf8, 0xdf,
512 0x69, 0xc9, 0x80, 0x75, 0xa0, 0xcc, 0x08, 0x2b, 0x80, 0x2f, 0xc9, 0xb2,
513 0xb6, 0xbc, 0x50, 0x3f, 0x92, 0x6b, 0x65, 0xbd, 0xdf, 0x7f, 0x4c, 0x8f,
514 0x1c, 0xb4, 0x9f, 0x63, 0x96, 0xaf, 0xc8, 0xa7, 0x0a, 0xbe, 0x6d, 0x8a,
515 0xef, 0x0d, 0xb4, 0x78, 0xd4, 0xc6, 0xb2, 0x97, 0x00, 0x76, 0xc6, 0xa0,
516 0x48, 0x4f, 0xe7, 0x6d, 0x76, 0xb3, 0xa9, 0x76, 0x25, 0xd7, 0x9f, 0x1c,
517 0xe2, 0x40, 0xe7, 0xc5, 0x76, 0x75, 0x0d, 0x29, 0x55, 0x28, 0x28, 0x6f,
518 0x71, 0x9b, 0x41, 0x3d, 0xe9, 0xad, 0xa3, 0xe8, 0xeb, 0x78, 0xed, 0x57,
519 0x36, 0x03, 0xce, 0x30, 0xd8, 0xbb, 0x76, 0x17, 0x85, 0xdc, 0x30, 0xdb,
520 0xc3, 0x20, 0x86, 0x9e, 0x1a, 0x00
521};
522
6ea71cba
MC
523/* Prehash Ed448 */
524
7d9e120f 525static const uint8_t phprivkey1[57] = {
6ea71cba
MC
526 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58,
527 0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b,
528 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0,
529 0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3,
530 0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49
531};
532
7d9e120f 533static const uint8_t phpubkey1[57] = {
6ea71cba
MC
534 0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65,
535 0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde,
536 0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1,
537 0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76,
538 0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80
539};
540
7d9e120f 541static const uint8_t phmsg1[3] = {
6ea71cba
MC
542 0x61, 0x62, 0x63
543};
544
7d9e120f 545static const uint8_t phsig1[114] = {
6ea71cba
MC
546 0x82, 0x2f, 0x69, 0x01, 0xf7, 0x48, 0x0f, 0x3d, 0x5f, 0x56, 0x2c, 0x59,
547 0x29, 0x94, 0xd9, 0x69, 0x36, 0x02, 0x87, 0x56, 0x14, 0x48, 0x32, 0x56,
548 0x50, 0x56, 0x00, 0xbb, 0xc2, 0x81, 0xae, 0x38, 0x1f, 0x54, 0xd6, 0xbc,
549 0xe2, 0xea, 0x91, 0x15, 0x74, 0x93, 0x2f, 0x52, 0xa4, 0xe6, 0xca, 0xdd,
550 0x78, 0x76, 0x93, 0x75, 0xec, 0x3f, 0xfd, 0x1b, 0x80, 0x1a, 0x0d, 0x9b,
551 0x3f, 0x40, 0x30, 0xcd, 0x43, 0x39, 0x64, 0xb6, 0x45, 0x7e, 0xa3, 0x94,
552 0x76, 0x51, 0x12, 0x14, 0xf9, 0x74, 0x69, 0xb5, 0x7d, 0xd3, 0x2d, 0xbc,
553 0x56, 0x0a, 0x9a, 0x94, 0xd0, 0x0b, 0xff, 0x07, 0x62, 0x04, 0x64, 0xa3,
554 0xad, 0x20, 0x3d, 0xf7, 0xdc, 0x7c, 0xe3, 0x60, 0xc3, 0xcd, 0x36, 0x96,
555 0xd9, 0xd9, 0xfa, 0xb9, 0x0f, 0x00
556};
557
7d9e120f 558static const uint8_t phprivkey2[57] = {
6ea71cba
MC
559 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58,
560 0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b,
561 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0,
562 0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3,
563 0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49
564};
565
7d9e120f 566static const uint8_t phpubkey2[57] = {
6ea71cba
MC
567 0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65,
568 0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde,
569 0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1,
570 0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76,
571 0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80
572};
573
7d9e120f 574static const uint8_t phmsg2[3] = {
6ea71cba
MC
575 0x61, 0x62, 0x63
576};
577
7d9e120f 578static const uint8_t phcontext2[3] = {
6ea71cba
MC
579 0x66, 0x6f, 0x6f
580};
581
7d9e120f 582static const uint8_t phsig2[114] = {
6ea71cba
MC
583 0xc3, 0x22, 0x99, 0xd4, 0x6e, 0xc8, 0xff, 0x02, 0xb5, 0x45, 0x40, 0x98,
584 0x28, 0x14, 0xdc, 0xe9, 0xa0, 0x58, 0x12, 0xf8, 0x19, 0x62, 0xb6, 0x49,
585 0xd5, 0x28, 0x09, 0x59, 0x16, 0xa2, 0xaa, 0x48, 0x10, 0x65, 0xb1, 0x58,
586 0x04, 0x23, 0xef, 0x92, 0x7e, 0xcf, 0x0a, 0xf5, 0x88, 0x8f, 0x90, 0xda,
587 0x0f, 0x6a, 0x9a, 0x85, 0xad, 0x5d, 0xc3, 0xf2, 0x80, 0xd9, 0x12, 0x24,
588 0xba, 0x99, 0x11, 0xa3, 0x65, 0x3d, 0x00, 0xe4, 0x84, 0xe2, 0xce, 0x23,
589 0x25, 0x21, 0x48, 0x1c, 0x86, 0x58, 0xdf, 0x30, 0x4b, 0xb7, 0x74, 0x5a,
590 0x73, 0x51, 0x4c, 0xdb, 0x9b, 0xf3, 0xe1, 0x57, 0x84, 0xab, 0x71, 0x28,
591 0x4f, 0x8d, 0x07, 0x04, 0xa6, 0x08, 0xc5, 0x4a, 0x6b, 0x62, 0xd9, 0x7b,
592 0xeb, 0x51, 0x1d, 0x13, 0x21, 0x00
593};
594
c255e98e
MC
595static const uint8_t *dohash(EVP_MD_CTX *hashctx, const uint8_t *msg,
596 size_t msglen)
6ea71cba 597{
6ea71cba
MC
598 static uint8_t hashout[64];
599
c255e98e 600 if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL)
68b20c00
MC
601 || !EVP_DigestUpdate(hashctx, msg, msglen)
602 || !EVP_DigestFinalXOF(hashctx, hashout, sizeof(hashout)))
c255e98e 603 return NULL;
6ea71cba
MC
604
605 return hashout;
606}
607
e54f5f39 608static int test_ed448(void)
4ea41daa
MC
609{
610 uint8_t outsig[114];
c255e98e 611 EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
c255e98e 612
e54f5f39
MC
613 if (!TEST_ptr(hashctx)
614 || !TEST_true(ED448_sign(outsig, NULL, 0, pubkey1, privkey1, NULL,
615 0))
616 || !TEST_int_eq(memcmp(sig1, outsig, sizeof(sig1)), 0)
617 || !TEST_true(ED448_sign(outsig, msg2, sizeof(msg2), pubkey2,
618 privkey2, NULL, 0))
619 || !TEST_int_eq(memcmp(sig2, outsig, sizeof(sig2)), 0)
620 || !TEST_true(ED448_sign(outsig, msg3, sizeof(msg3), pubkey3,
621 privkey3, context3, sizeof(context3)))
622 || !TEST_int_eq(memcmp(sig3, outsig, sizeof(sig3)), 0)
623 || !TEST_true(ED448_sign(outsig, msg4, sizeof(msg4), pubkey4,
624 privkey4, NULL, 0))
625 || !TEST_int_eq(memcmp(sig4, outsig, sizeof(sig4)), 0)
626 || !TEST_true(ED448_sign(outsig, msg5, sizeof(msg5), pubkey5,
627 privkey5, NULL, 0))
628 || !TEST_int_eq(memcmp(sig5, outsig, sizeof(sig5)), 0)
629 || !TEST_true(ED448_sign(outsig, msg6, sizeof(msg6), pubkey6,
630 privkey6, NULL, 0))
631 || !TEST_int_eq(memcmp(sig6, outsig, sizeof(sig6)), 0)
632 || !TEST_true(ED448_sign(outsig, msg7, sizeof(msg7), pubkey7,
633 privkey7, NULL, 0))
634 || !TEST_int_eq(memcmp(sig7, outsig, sizeof(sig7)), 0)
635 || !TEST_true(ED448_sign(outsig, msg8, sizeof(msg8), pubkey8,
636 privkey8, NULL, 0))
637 || !TEST_int_eq(memcmp(sig8, outsig, sizeof(sig8)), 0)
638 || !TEST_true(ED448_sign(outsig, msg9, sizeof(msg9), pubkey9,
639 privkey9, NULL, 0))
640 || !TEST_int_eq(memcmp(sig9, outsig, sizeof(sig9)), 0)
641 || !TEST_true(ED448ph_sign(outsig, dohash(hashctx, phmsg1,
642 sizeof(phmsg1)), phpubkey1, phprivkey1,
643 NULL, 0))
644 || !TEST_int_eq(memcmp(phsig1, outsig, sizeof(phsig1)), 0)
645 || !TEST_true(ED448ph_sign(outsig, dohash(hashctx, phmsg2,
646 sizeof(phmsg2)), phpubkey2, phprivkey2,
647 phcontext2, sizeof(phcontext2)))
648 || !TEST_int_eq(memcmp(phsig2, outsig, sizeof(phsig2)), 0)) {
649 EVP_MD_CTX_free(hashctx);
c255e98e
MC
650 return 0;
651 }
4ea41daa 652
c255e98e 653 EVP_MD_CTX_free(hashctx);
e54f5f39 654 return 1;
4ea41daa
MC
655}
656
e54f5f39 657static int test_x448(void)
6853d093
MC
658{
659 uint8_t u[56], k[56], out[56];
e54f5f39 660 unsigned int i;
6853d093
MC
661 int j = -1;
662
4ea41daa
MC
663 /* Curve448 tests */
664
e54f5f39
MC
665 if (!TEST_true(X448(out, in_scalar1, in_u1))
666 || !TEST_int_eq(memcmp(out, out_u1, sizeof(out)), 0)
667 || !TEST_true(X448(out, in_scalar2, in_u2))
668 || !TEST_int_eq(memcmp(out, out_u2, sizeof(out)), 0))
669 return 0;
6853d093
MC
670
671 memcpy(u, in_u3, sizeof(u));
672 memcpy(k, in_u3, sizeof(k));
673 for (i = 1; i <= max; i++) {
e54f5f39 674 if (verbose && i % 10000 == 0) {
6853d093
MC
675 printf(".");
676 fflush(stdout);
677 }
678
e54f5f39
MC
679 if (!TEST_true(X448(out, k, u)))
680 return 0;
681
6853d093
MC
682 if (i == 1 || i == 1000 || i == 1000000) {
683 j++;
e54f5f39
MC
684 if (!TEST_int_eq(memcmp(out, out_u3[j], sizeof(out)), 0)) {
685 TEST_info("Failed at iteration %d", i);
686 return 0;
6853d093
MC
687 }
688 }
689 memcpy(u, k, sizeof(u));
690 memcpy(k, out, sizeof(k));
691 }
692
e54f5f39
MC
693 return 1;
694}
695
696int setup_tests(void)
697{
698 /*
699 * The test vectors contain one test which takes a very long time to run,
700 * so we don't do that be default. Using the -f option will cause it to be
701 * run.
702 */
703 if (test_has_option("-f"))
704 max = 1000000;
4ea41daa 705
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706 /* Print progress dots */
707 if (test_has_option("-v"))
708 verbose = 1;
6853d093 709
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710 ADD_TEST(test_x448);
711 ADD_TEST(test_ed448);
712 return 1;
6853d093 713}