aboutsummaryrefslogblamecommitdiff
path: root/tests/test-rsa.h
blob: b6e6ba6a17b11387c3883d55ea2038d0e49956d1 (plain) (tree)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644



































































































































































































































































































































































































































































































































































































































































                                                                             
/*
 * RSA signature test data for Cryptech project, automatically generated by
 * test-rsa.py using PyCrypto version 2.6.1. Do not edit.
 *
 * Plaintext: "You can hack anything you want with TECO and DDT."
 * SHA-256: 8e36fc9aa31724c32416263c0366a175fabbb92b741ca6496107074d0343b597
 */

/* 1024-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_1024[] = { /* key component n, 128 bytes */
  0xd0, 0x75, 0xec, 0x0a, 0x95, 0x04, 0x8e, 0xf8, 0xca, 0xa6, 0x90, 0x73,
  0x8d, 0x9d, 0x58, 0xe9, 0x17, 0x64, 0xb4, 0x37, 0x50, 0xb5, 0x8c, 0xad,
  0x8a, 0x6e, 0x31, 0x99, 0x13, 0x5f, 0x80, 0xee, 0x84, 0xeb, 0x2b, 0xde,
  0x58, 0xd3, 0x8e, 0xe3, 0x58, 0x25, 0xe9, 0x1e, 0xaf, 0xde, 0xb1, 0xba,
  0xa1, 0x5a, 0x16, 0x0b, 0x00, 0x57, 0xc4, 0x7c, 0xc7, 0x76, 0x5e, 0x31,
  0x86, 0x8a, 0x3e, 0x15, 0x5e, 0xe5, 0x7c, 0xef, 0xb0, 0x08, 0xc4, 0xdd,
  0x6a, 0x0a, 0x89, 0xee, 0x98, 0xa4, 0xee, 0x9c, 0x97, 0x1a, 0x07, 0xde,
  0x61, 0xe5, 0xb0, 0xd3, 0xcf, 0x70, 0xe1, 0xcd, 0xc6, 0xa0, 0xde, 0x5b,
  0x45, 0x1f, 0x2f, 0xb9, 0xdb, 0x99, 0x51, 0x96, 0x9f, 0x2f, 0x88, 0x4b,
  0x4b, 0x09, 0x74, 0x9a, 0xe6, 0xc4, 0xdd, 0xbe, 0x7e, 0xe6, 0x1f, 0x79,
  0x26, 0x5c, 0x6a, 0xdf, 0xb1, 0x6b, 0x30, 0x15
};

static const uint8_t e_1024[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_1024[] = { /* key component d, 128 bytes */
  0x3f, 0xf2, 0x6c, 0x9e, 0x32, 0x68, 0x5b, 0x93, 0x66, 0x57, 0x02, 0x28,
  0xf0, 0x60, 0x3c, 0x4e, 0x04, 0xa7, 0x17, 0xc1, 0x80, 0x38, 0xb1, 0x16,
  0xeb, 0x48, 0x32, 0x5e, 0xca, 0xda, 0x99, 0x2a, 0x92, 0x0b, 0xb2, 0x41,
  0x5a, 0xee, 0x4a, 0xfe, 0xe2, 0xa3, 0x7e, 0x87, 0xb3, 0x5b, 0x95, 0x19,
  0xb3, 0x35, 0x77, 0x5d, 0x98, 0x95, 0x53, 0xe9, 0x13, 0x26, 0xf4, 0x6e,
  0x2c, 0xdf, 0x6b, 0x7b, 0x84, 0xaa, 0xbf, 0xa9, 0xef, 0x24, 0xc6, 0x00,
  0xb5, 0x68, 0x72, 0xad, 0x5e, 0xdb, 0x90, 0x41, 0xe8, 0xec, 0xd7, 0xf8,
  0x53, 0x51, 0x33, 0xfb, 0xde, 0xfc, 0x92, 0xc7, 0x42, 0x38, 0x42, 0x26,
  0x7d, 0x40, 0xe5, 0xf5, 0xc9, 0x1b, 0xd7, 0x45, 0x95, 0x78, 0xe4, 0x60,
  0xfc, 0x85, 0x83, 0x74, 0x31, 0x72, 0xbe, 0xd3, 0x73, 0xb6, 0x95, 0x7c,
  0xc0, 0xd6, 0xa6, 0x8e, 0x33, 0x15, 0x6a, 0x61
};

static const uint8_t p_1024[] = { /* key component p, 64 bytes */
  0xd6, 0x91, 0x44, 0x30, 0xf6, 0xbf, 0xae, 0x10, 0x65, 0x8a, 0xed, 0x04,
  0xd8, 0xd1, 0x32, 0x2a, 0xf2, 0x0a, 0x19, 0x7c, 0xf9, 0x7d, 0x21, 0xc5,
  0xdd, 0xf7, 0x41, 0x75, 0xb8, 0x01, 0x1d, 0x40, 0x48, 0x29, 0x66, 0x2e,
  0x59, 0x89, 0x87, 0x94, 0x64, 0x9a, 0xc6, 0x68, 0xa6, 0x4b, 0x87, 0x10,
  0xc7, 0x6e, 0x26, 0x7d, 0xb2, 0xa9, 0x24, 0x2a, 0xf3, 0x07, 0x06, 0x9c,
  0xa4, 0xe2, 0x53, 0xe7
};

static const uint8_t q_1024[] = { /* key component q, 64 bytes */
  0xf8, 0xb6, 0xc6, 0xe5, 0x73, 0x1d, 0x03, 0xfc, 0xa6, 0x40, 0xf6, 0x2d,
  0xe1, 0x88, 0xc5, 0x56, 0xbc, 0x68, 0x09, 0x9d, 0xac, 0x56, 0x21, 0x12,
  0x63, 0x42, 0x2f, 0xba, 0x80, 0x85, 0x6a, 0x88, 0x19, 0x49, 0xaf, 0xfe,
  0x05, 0xa8, 0x48, 0xb7, 0x99, 0x71, 0x14, 0x46, 0x42, 0xdd, 0x19, 0xba,
  0xc1, 0x05, 0x37, 0x53, 0xb6, 0x9d, 0xa4, 0x29, 0xf4, 0xbd, 0xeb, 0x13,
  0x8e, 0x79, 0x9c, 0xa3
};

static const uint8_t u_1024[] = { /* key component u, 64 bytes */
  0x87, 0x5c, 0xc3, 0x4c, 0x33, 0xc7, 0x67, 0xfa, 0xc6, 0xf6, 0xcd, 0xf4,
  0x33, 0x85, 0x07, 0x78, 0x7f, 0x56, 0x80, 0x30, 0xee, 0x4c, 0x34, 0x03,
  0xa0, 0x5d, 0xa7, 0x34, 0x0d, 0xc9, 0x18, 0x8e, 0xd0, 0xd5, 0xe2, 0xb9,
  0x0b, 0x53, 0x4c, 0xb5, 0x00, 0x5b, 0x10, 0x9f, 0xba, 0xbf, 0x2f, 0x65,
  0x0a, 0x40, 0x58, 0x18, 0xb3, 0x83, 0xa0, 0x0c, 0x71, 0x01, 0xa4, 0x86,
  0xbe, 0xcc, 0x1b, 0x7b
};

static const uint8_t m_1024[] = { /* message to be signed, 128 bytes */
  0x00, 0x01, 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, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_1024[] = { /* signed message, 128 bytes */
  0x06, 0x33, 0x9a, 0x64, 0x36, 0x7d, 0xb0, 0x2a, 0xf4, 0x11, 0x58, 0xcc,
  0x95, 0xe7, 0x60, 0x49, 0x45, 0x19, 0xc1, 0x65, 0x11, 0x11, 0x84, 0xbe,
  0xe4, 0x1d, 0x8e, 0xe2, 0x2a, 0xe5, 0xf5, 0xd1, 0x1d, 0xa7, 0xf9, 0x62,
  0xac, 0x93, 0xac, 0x88, 0x91, 0x5e, 0xee, 0x13, 0xa3, 0x35, 0x0c, 0x22,
  0xf0, 0xdf, 0xa6, 0x2e, 0xfd, 0xfc, 0x2b, 0x62, 0x29, 0xf2, 0x6e, 0x27,
  0xbe, 0xbd, 0xc8, 0x4e, 0x47, 0x46, 0xdf, 0x79, 0x7b, 0x38, 0x7a, 0xd2,
  0x13, 0x42, 0x3c, 0x9f, 0x98, 0xe8, 0xa1, 0x46, 0xff, 0x48, 0x6b, 0x6c,
  0x1a, 0x85, 0x41, 0x4e, 0x73, 0x11, 0x71, 0x21, 0xb7, 0x00, 0xe5, 0x47,
  0xab, 0x4e, 0x07, 0xb2, 0x21, 0xb9, 0x88, 0xb8, 0x24, 0xdd, 0x77, 0xc2,
  0x04, 0x6b, 0x0a, 0x20, 0xcd, 0xdb, 0x98, 0x6a, 0xac, 0x75, 0xc2, 0xf2,
  0xb0, 0x44, 0xed, 0x59, 0xea, 0x56, 0x58, 0x79
};

/* 2048-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_2048[] = { /* key component n, 256 bytes */
  0xb9, 0xb4, 0x69, 0x69, 0xb0, 0x60, 0x43, 0xfe, 0xf1, 0x9f, 0x32, 0x23,
  0xcb, 0x51, 0x4a, 0x20, 0x81, 0xa1, 0x0d, 0x43, 0x8b, 0x68, 0xb6, 0x15,
  0x98, 0xa5, 0xcf, 0xaf, 0x7b, 0x7e, 0x6a, 0xe4, 0x08, 0x54, 0xab, 0x3c,
  0xf4, 0xe3, 0x26, 0x74, 0x82, 0x71, 0xde, 0xcb, 0x6a, 0xe4, 0x83, 0x9a,
  0x8d, 0x7f, 0x08, 0x9a, 0xba, 0x42, 0xfc, 0xaf, 0xa4, 0x03, 0x32, 0x0a,
  0xbf, 0xed, 0x68, 0x7a, 0x85, 0x6a, 0x13, 0xf0, 0xb0, 0x54, 0x58, 0x89,
  0x63, 0x37, 0xff, 0x73, 0xcd, 0xbe, 0x34, 0xed, 0xba, 0xc7, 0x64, 0x12,
  0x91, 0x44, 0xa9, 0x7f, 0x8f, 0x75, 0x97, 0x0b, 0x69, 0x09, 0xdf, 0x5f,
  0x92, 0x6c, 0x4e, 0xc1, 0x5d, 0x60, 0x83, 0xa8, 0xc9, 0x99, 0xe1, 0x7d,
  0xac, 0xa6, 0x1b, 0xd0, 0x2c, 0x8f, 0x66, 0xba, 0xf3, 0x77, 0x1e, 0xd8,
  0x19, 0xc5, 0x65, 0x69, 0xcc, 0x57, 0xcc, 0x5f, 0xe2, 0x38, 0x7a, 0xf7,
  0x9e, 0xa1, 0x56, 0x5c, 0x73, 0x9b, 0xd8, 0xad, 0x43, 0x6a, 0x4d, 0x2e,
  0x1a, 0xca, 0xca, 0xb6, 0x4c, 0xec, 0xed, 0xe3, 0x1e, 0x7a, 0xf3, 0x67,
  0x75, 0xb2, 0x91, 0x06, 0x58, 0x49, 0x1b, 0x5a, 0x03, 0x75, 0xae, 0x55,
  0x25, 0xc8, 0x24, 0x04, 0xdc, 0x8b, 0x5d, 0xa3, 0x51, 0x4f, 0x90, 0xf4,
  0xbb, 0x75, 0x54, 0xbb, 0xf7, 0xd6, 0xa3, 0x89, 0x06, 0x51, 0xc7, 0x57,
  0x47, 0x6e, 0x88, 0xe1, 0x0f, 0x14, 0xfe, 0xd2, 0xe4, 0xdd, 0x43, 0xd5,
  0x75, 0xe2, 0xa7, 0xa1, 0xca, 0x03, 0x86, 0x40, 0x60, 0x5f, 0xb7, 0xce,
  0xdd, 0x53, 0xbb, 0x7f, 0x05, 0x1d, 0x23, 0x6a, 0xdb, 0x7c, 0x5a, 0x51,
  0xfe, 0xe8, 0x4a, 0x97, 0x4d, 0xf6, 0x76, 0x10, 0xdc, 0xb0, 0x36, 0x30,
  0xd9, 0x0b, 0x59, 0x6b, 0xd5, 0x44, 0x8d, 0xf0, 0xab, 0x26, 0x08, 0x86,
  0x01, 0x21, 0xc8, 0x23
};

static const uint8_t e_2048[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_2048[] = { /* key component d, 256 bytes */
  0x0d, 0xf5, 0x4f, 0x8f, 0x10, 0x20, 0xcc, 0x3b, 0x97, 0x71, 0xbd, 0xd5,
  0x0e, 0xed, 0x37, 0x43, 0x26, 0x3b, 0x32, 0xc2, 0x06, 0xf2, 0x81, 0xed,
  0x31, 0xa2, 0x14, 0xf0, 0x3d, 0xba, 0x0c, 0xd2, 0xc3, 0x05, 0x8a, 0x31,
  0x74, 0xbe, 0xb6, 0x1f, 0x3f, 0xc6, 0xcb, 0x56, 0x42, 0xdc, 0x96, 0x3f,
  0xc1, 0xae, 0xf0, 0xb8, 0xa0, 0x93, 0x74, 0x66, 0xc7, 0x4f, 0x2e, 0x2d,
  0xbc, 0xab, 0x5d, 0x95, 0x07, 0xfe, 0x27, 0x2d, 0x8a, 0x33, 0x6c, 0xcc,
  0x36, 0xd6, 0xf8, 0xae, 0x7d, 0xa2, 0x74, 0x5c, 0x02, 0x14, 0x06, 0xa3,
  0x96, 0xa3, 0xb0, 0x91, 0xd3, 0xf8, 0xa4, 0xb7, 0xc8, 0xd7, 0x63, 0x20,
  0xcd, 0xe2, 0xb2, 0x30, 0xba, 0x92, 0x0c, 0x93, 0x5d, 0x43, 0xe1, 0xbd,
  0x0e, 0x83, 0x15, 0xc8, 0x19, 0xf1, 0x55, 0x69, 0x6b, 0xef, 0x62, 0x34,
  0x20, 0x0b, 0xc4, 0x49, 0xa5, 0x80, 0x5b, 0xee, 0x20, 0x22, 0xc4, 0x63,
  0x11, 0x81, 0x1f, 0x37, 0x11, 0x47, 0x93, 0x96, 0xcc, 0xd7, 0x5c, 0xc4,
  0xc3, 0xde, 0x3c, 0xed, 0xd5, 0x1e, 0x80, 0x35, 0x8d, 0x60, 0xea, 0x1d,
  0xe8, 0xf4, 0x3c, 0x6c, 0x78, 0x44, 0x94, 0x37, 0x0a, 0x2d, 0xc0, 0x06,
  0x23, 0xa4, 0x0d, 0x27, 0xba, 0x1b, 0xf4, 0x6a, 0xc2, 0xa8, 0xcc, 0x56,
  0x42, 0x96, 0x53, 0xa7, 0x5e, 0x3f, 0x0c, 0x0e, 0xb3, 0x69, 0xaa, 0xe6,
  0xeb, 0x1f, 0x19, 0x7e, 0x0a, 0x45, 0x14, 0x24, 0x9f, 0x5a, 0xd5, 0x4e,
  0xe2, 0x73, 0xd0, 0xc6, 0x6d, 0xe1, 0xeb, 0xfe, 0x1f, 0x52, 0x30, 0x3e,
  0xe2, 0x47, 0x76, 0x51, 0xa4, 0xad, 0x05, 0xdf, 0x75, 0x4b, 0x25, 0x05,
  0x83, 0xb3, 0xca, 0x4f, 0x69, 0xb3, 0x66, 0x50, 0x25, 0x3a, 0xc3, 0xd4,
  0xad, 0x62, 0x28, 0x66, 0xf4, 0xf4, 0x33, 0xa2, 0x57, 0x0c, 0x9d, 0x75,
  0x94, 0x14, 0x59, 0xa1
};

static const uint8_t p_2048[] = { /* key component p, 128 bytes */
  0xc5, 0x0a, 0xf2, 0x4f, 0xd1, 0xf2, 0x86, 0xca, 0x1e, 0x25, 0xbd, 0x65,
  0x2a, 0xf9, 0x75, 0xda, 0x3d, 0x98, 0x8a, 0xed, 0x0e, 0xfe, 0xc5, 0xa1,
  0x85, 0x8d, 0xb4, 0x95, 0x41, 0x4c, 0x6b, 0x5d, 0x64, 0x49, 0x39, 0x0f,
  0x0c, 0x21, 0x2b, 0x60, 0xce, 0x21, 0x04, 0xab, 0x32, 0x24, 0x8e, 0xb6,
  0xc6, 0x47, 0xc2, 0xed, 0xa0, 0x36, 0x99, 0xf6, 0xa1, 0x5c, 0x3a, 0x86,
  0x92, 0x41, 0x21, 0xe3, 0xe1, 0xc3, 0x4d, 0x8c, 0xa5, 0x6c, 0x9d, 0x04,
  0x7d, 0x04, 0x88, 0xa4, 0xe7, 0xce, 0xf6, 0x3f, 0xfe, 0xaa, 0xaf, 0xe4,
  0x8d, 0x87, 0x42, 0xbe, 0x31, 0x0d, 0x7c, 0xc0, 0xef, 0xfb, 0x27, 0x31,
  0x77, 0x0e, 0xe8, 0x1a, 0x88, 0x8d, 0xde, 0x6e, 0xa3, 0x1f, 0x73, 0x96,
  0x84, 0x8e, 0xc7, 0x43, 0x99, 0xb1, 0xa2, 0x9e, 0xb8, 0x61, 0x54, 0xa2,
  0x4d, 0x91, 0xfd, 0x87, 0x52, 0x6e, 0x2a, 0x7b
};

static const uint8_t q_2048[] = { /* key component q, 128 bytes */
  0xf1, 0x44, 0xff, 0x27, 0x56, 0x64, 0x25, 0x4f, 0x94, 0x6a, 0x1b, 0xc8,
  0x20, 0x05, 0x13, 0xd0, 0x24, 0x22, 0x4e, 0x20, 0x3c, 0x5a, 0x99, 0x8b,
  0xd4, 0xaa, 0xc0, 0x49, 0x0d, 0xef, 0x2b, 0x8c, 0x3a, 0xef, 0x55, 0x2a,
  0x19, 0xe6, 0x88, 0xc7, 0xdf, 0xcd, 0x54, 0x94, 0x03, 0x63, 0xa9, 0xad,
  0x4a, 0xec, 0x6a, 0xd0, 0xcd, 0x77, 0xfc, 0xae, 0xff, 0x0b, 0x63, 0x68,
  0xf6, 0xcc, 0xdc, 0xb7, 0x29, 0xe7, 0x46, 0xb4, 0x26, 0xf9, 0xa3, 0xed,
  0x32, 0x8d, 0xf7, 0x12, 0xa2, 0x19, 0xc2, 0xef, 0x52, 0xf7, 0xde, 0x91,
  0x48, 0x97, 0x6a, 0x18, 0x8b, 0x84, 0x0e, 0xaa, 0x62, 0xf2, 0xaa, 0x31,
  0x1e, 0xdc, 0x8a, 0x31, 0x30, 0x3b, 0x22, 0xec, 0x7c, 0x8b, 0x8c, 0xbd,
  0x4d, 0xe5, 0xb7, 0xb6, 0x68, 0xac, 0xaa, 0xff, 0x8e, 0x6e, 0x93, 0x14,
  0xa4, 0xef, 0x2b, 0x9f, 0x15, 0x4a, 0xdc, 0x79
};

static const uint8_t u_2048[] = { /* key component u, 128 bytes */
  0x5e, 0x42, 0x7f, 0x1d, 0x33, 0x81, 0x1e, 0xa4, 0x18, 0xdf, 0x86, 0xba,
  0xb0, 0x1b, 0x77, 0x56, 0xf4, 0x65, 0x91, 0x31, 0xd8, 0xac, 0xbc, 0x63,
  0x55, 0x55, 0x11, 0x5c, 0xc5, 0x31, 0x61, 0x08, 0xe0, 0xb3, 0x5c, 0xce,
  0x9e, 0x82, 0xbb, 0xc4, 0x7d, 0xd3, 0xc3, 0xc0, 0x95, 0x0b, 0xc0, 0xbf,
  0x7c, 0xaf, 0xcd, 0xa2, 0x1f, 0xbb, 0x8f, 0x7f, 0xce, 0xde, 0x42, 0x59,
  0xd5, 0x71, 0x49, 0xa2, 0x91, 0xe2, 0x24, 0xc2, 0xf7, 0x7f, 0xd2, 0xae,
  0x10, 0xbd, 0x34, 0xb6, 0xc4, 0xec, 0xa2, 0x17, 0xc8, 0x4f, 0x76, 0xf6,
  0x1d, 0x90, 0x72, 0x58, 0x55, 0x18, 0xbe, 0x44, 0xd4, 0xf1, 0x85, 0xf5,
  0x90, 0x65, 0x45, 0x4f, 0xf1, 0x3b, 0x65, 0xe7, 0x79, 0x3b, 0xe5, 0x4e,
  0x56, 0x28, 0x4b, 0x62, 0x4d, 0x8e, 0x1d, 0x25, 0x26, 0x37, 0x1a, 0xb5,
  0x5c, 0xd5, 0x14, 0x67, 0x73, 0x74, 0x70, 0x24
};

static const uint8_t m_2048[] = { /* message to be signed, 256 bytes */
  0x00, 0x01, 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, 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, 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, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60, 0x86, 0x48, 0x01, 0x65,
  0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20, 0x8e, 0x36, 0xfc, 0x9a,
  0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c, 0x03, 0x66, 0xa1, 0x75,
  0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49, 0x61, 0x07, 0x07, 0x4d,
  0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_2048[] = { /* signed message, 256 bytes */
  0xa4, 0xcf, 0x2b, 0x55, 0x74, 0x6e, 0x9a, 0x97, 0x4e, 0x50, 0x7a, 0x8c,
  0xbb, 0x32, 0x3d, 0x42, 0x4a, 0x14, 0x0d, 0x50, 0x29, 0xc8, 0x76, 0x2c,
  0xd9, 0x25, 0x16, 0x62, 0xee, 0xc7, 0xd7, 0xf9, 0x7f, 0xc5, 0x0c, 0x4b,
  0xa4, 0x6e, 0xd3, 0xe5, 0x0d, 0x01, 0x7c, 0xd7, 0x9e, 0xe2, 0x9f, 0xa0,
  0xf0, 0x51, 0x57, 0x4f, 0x9b, 0xf2, 0x89, 0x03, 0x04, 0xe7, 0xda, 0x19,
  0x05, 0xe7, 0xcb, 0xea, 0xaf, 0x84, 0xae, 0x21, 0x44, 0x6f, 0x85, 0xc4,
  0x71, 0x9b, 0x35, 0xed, 0xd8, 0x55, 0xd7, 0x25, 0xaa, 0xdb, 0xd8, 0x0f,
  0x24, 0xac, 0x3e, 0x3d, 0xcd, 0xa5, 0x72, 0xd9, 0x96, 0x75, 0x4b, 0x93,
  0xc4, 0x37, 0xef, 0x25, 0xe4, 0xa0, 0xda, 0x66, 0x51, 0x5e, 0xc2, 0xa9,
  0xcb, 0x4b, 0xde, 0xca, 0x70, 0x68, 0xd0, 0x9a, 0x76, 0x79, 0x86, 0x5f,
  0xab, 0xc0, 0x5d, 0x35, 0x10, 0x59, 0xa5, 0x4b, 0x17, 0x56, 0x68, 0xe2,
  0x24, 0x53, 0x3c, 0x73, 0x0f, 0x9d, 0x74, 0xeb, 0xb8, 0x9e, 0xb3, 0x18,
  0x8c, 0x20, 0x32, 0xf6, 0x28, 0x98, 0xe8, 0x6e, 0x95, 0xf5, 0x62, 0x2f,
  0x72, 0x13, 0x38, 0xe6, 0xd7, 0xaa, 0x46, 0x69, 0x07, 0xe8, 0x1e, 0x14,
  0xe3, 0x45, 0x03, 0x34, 0xa7, 0xde, 0xaf, 0xca, 0x42, 0x08, 0x22, 0xea,
  0x27, 0xe8, 0xaa, 0x49, 0xaf, 0x2f, 0xbe, 0xa6, 0x1f, 0xdc, 0x28, 0x7f,
  0x75, 0x3c, 0xfc, 0xe0, 0x80, 0x63, 0xf0, 0xd2, 0xd2, 0x93, 0x6b, 0x91,
  0xe1, 0x3b, 0x97, 0x50, 0xf4, 0x0f, 0xce, 0x73, 0xa2, 0x01, 0x7d, 0x97,
  0x84, 0x97, 0x61, 0xf5, 0x50, 0x66, 0x23, 0x1b, 0x94, 0x91, 0x67, 0x21,
  0xdc, 0x1a, 0xe0, 0x2a, 0x83, 0x91, 0x29, 0x64, 0x73, 0xb7, 0x2a, 0x0c,
  0x44, 0x48, 0x11, 0x36, 0x5f, 0xb3, 0x73, 0x1d, 0x43, 0xb6, 0xc3, 0x5e,
  0x9c, 0x63, 0x3c, 0x93
};

/* 4096-bit RSA private key (PKCS #8)
-----BEGIN PRIVATE KEY-----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-----END PRIVATE KEY-----
*/

static const uint8_t n_4096[] = { /* key component n, 512 bytes */
  0x97, 0xa1, 0xe3, 0xe1, 0xe2, 0xae, 0x76, 0x00, 0x33, 0x36, 0x0f, 0x89,
  0x27, 0x00, 0x42, 0x31, 0x07, 0x9c, 0xf9, 0xb0, 0xdb, 0x22, 0x60, 0x2a,
  0xab, 0x0a, 0xd3, 0xcd, 0x47, 0x79, 0x13, 0xcd, 0x0d, 0x2f, 0x9e, 0xa8,
  0x32, 0xfa, 0x4e, 0xcb, 0x41, 0xe5, 0xe3, 0xfe, 0x4e, 0xdf, 0x5a, 0x7b,
  0x22, 0x83, 0x6e, 0x97, 0x46, 0xdf, 0x21, 0xa7, 0x81, 0x15, 0x3b, 0x7a,
  0xd2, 0x65, 0xae, 0x1a, 0xff, 0x59, 0x36, 0x27, 0xe7, 0x6e, 0x60, 0x81,
  0x53, 0x7b, 0x60, 0xeb, 0x04, 0x25, 0x8d, 0x04, 0x3f, 0x42, 0x0e, 0xe2,
  0x10, 0x3a, 0xad, 0x0f, 0xf0, 0x89, 0xb4, 0x39, 0xd6, 0x09, 0x4b, 0x89,
  0x8a, 0x9d, 0x7b, 0xcd, 0xf1, 0xb6, 0x1e, 0xb7, 0xbd, 0x5f, 0xcb, 0xbc,
  0x99, 0x43, 0x35, 0x3d, 0x0a, 0x48, 0xd1, 0xe1, 0xc0, 0x1a, 0x38, 0xaf,
  0xce, 0x4d, 0x95, 0x50, 0x40, 0xa3, 0x24, 0x8c, 0xca, 0x06, 0x6a, 0x66,
  0xda, 0xea, 0x7c, 0x4f, 0x0d, 0x5a, 0x65, 0xf7, 0x5d, 0xdf, 0xa1, 0x04,
  0xdc, 0xd1, 0xf1, 0xfb, 0x76, 0xd5, 0xce, 0x84, 0x1f, 0xcb, 0xfc, 0xc2,
  0xaf, 0xae, 0x86, 0x8b, 0x6f, 0x05, 0x73, 0xfe, 0x6c, 0xd2, 0xe2, 0xe8,
  0xec, 0x9b, 0x36, 0x0c, 0xfe, 0xb9, 0x7e, 0x1d, 0x6e, 0x14, 0xa8, 0x0e,
  0x20, 0xb2, 0x52, 0xd9, 0xfd, 0x51, 0x70, 0x4e, 0xcd, 0xf4, 0x87, 0x74,
  0xe0, 0xd3, 0x6a, 0xcb, 0xee, 0xe8, 0x04, 0x64, 0x2f, 0x34, 0xde, 0x71,
  0x61, 0xac, 0xc6, 0x7c, 0x65, 0x31, 0x6f, 0xd8, 0xdc, 0x4a, 0x49, 0x43,
  0xa7, 0xec, 0x19, 0xf3, 0x73, 0x2a, 0x77, 0x78, 0xe3, 0xc9, 0x0a, 0xc4,
  0xea, 0x6e, 0x36, 0x10, 0x8e, 0x50, 0x4d, 0xad, 0xea, 0x70, 0x6f, 0xc3,
  0xff, 0x68, 0x70, 0x0b, 0x0a, 0x9b, 0x38, 0x7b, 0x43, 0x0d, 0xc1, 0x99,
  0xac, 0x64, 0xc4, 0xb8, 0x53, 0xb5, 0xc5, 0x28, 0x87, 0x74, 0x88, 0x0e,
  0xcc, 0x06, 0x98, 0xd2, 0xf5, 0xb8, 0x86, 0xb7, 0x73, 0xc0, 0x23, 0x4f,
  0x32, 0x3b, 0x74, 0xef, 0xde, 0x14, 0xc7, 0xeb, 0x18, 0x94, 0x9b, 0xc3,
  0xcb, 0xef, 0x00, 0xf4, 0x9b, 0x2f, 0x07, 0x12, 0xfc, 0x5d, 0x69, 0x9f,
  0x45, 0x98, 0x3c, 0x6a, 0xee, 0x60, 0xfb, 0xee, 0x8c, 0xac, 0x98, 0xba,
  0x40, 0x25, 0xa4, 0x80, 0x39, 0xf7, 0x83, 0x23, 0xbc, 0x19, 0x1e, 0x17,
  0xb5, 0x0d, 0x90, 0xc3, 0xa4, 0xac, 0xe5, 0x76, 0xd3, 0x7f, 0x75, 0x6c,
  0x54, 0x27, 0x77, 0xf9, 0x75, 0x96, 0xa2, 0x84, 0x45, 0x24, 0xb2, 0x40,
  0x31, 0x42, 0x63, 0x16, 0x8c, 0x99, 0xdf, 0x90, 0xae, 0x6f, 0xa6, 0x04,
  0x62, 0x1f, 0xdf, 0x37, 0xc9, 0xd2, 0x9d, 0x68, 0xa3, 0x7f, 0x63, 0x3c,
  0xce, 0x39, 0x53, 0xc4, 0x66, 0x50, 0xba, 0x47, 0x50, 0x71, 0x47, 0xcf,
  0xbe, 0xf4, 0x4a, 0x02, 0xf7, 0xd2, 0xb2, 0x24, 0x98, 0xe8, 0x94, 0x99,
  0xb4, 0x3b, 0x3f, 0xc9, 0x4f, 0x52, 0x46, 0x4a, 0x12, 0x99, 0x61, 0x5d,
  0xfd, 0xaf, 0xba, 0x56, 0x7a, 0x3e, 0x85, 0xca, 0x06, 0xac, 0x8a, 0xf2,
  0x85, 0x36, 0xe3, 0x10, 0x32, 0x8f, 0xe7, 0x2b, 0x07, 0xc7, 0xe9, 0xdf,
  0x46, 0xfc, 0x03, 0xf1, 0xce, 0x97, 0x79, 0x87, 0x3f, 0xd1, 0xf3, 0x8a,
  0x38, 0x38, 0x2f, 0xc1, 0xb7, 0x99, 0x91, 0xc3, 0xa9, 0xc8, 0x78, 0x6f,
  0xbe, 0xf5, 0x9d, 0x91, 0x53, 0x1b, 0x52, 0xc5, 0xa4, 0x85, 0x9b, 0x18,
  0x12, 0xd1, 0x35, 0xf0, 0xe6, 0x5e, 0x04, 0x95, 0x48, 0x22, 0xb1, 0x3e,
  0xaf, 0xa2, 0x6d, 0xa9, 0xa2, 0xeb, 0xb8, 0xd9, 0xa5, 0x24, 0x02, 0x30,
  0x4d, 0x59, 0x69, 0xa7, 0xed, 0xfc, 0xe3, 0x60, 0xb8, 0xc6, 0xf9, 0x2b,
  0x52, 0x1d, 0x96, 0x15, 0x1d, 0xc4, 0xc9, 0xc3
};

static const uint8_t e_4096[] = { /* key component e, 4 bytes */
  0x00, 0x01, 0x00, 0x01
};

static const uint8_t d_4096[] = { /* key component d, 512 bytes */
  0x27, 0x8f, 0x3a, 0xee, 0xd1, 0xbf, 0x06, 0x56, 0x23, 0x06, 0x35, 0xa3,
  0x68, 0xa3, 0x6e, 0xa1, 0x70, 0x05, 0x0a, 0x37, 0x93, 0xd4, 0x32, 0x16,
  0xaf, 0xad, 0x11, 0x78, 0xfa, 0xee, 0xa1, 0xb5, 0xdb, 0x7c, 0xd2, 0xfd,
  0xba, 0xdf, 0x06, 0xf3, 0x8c, 0x6b, 0xb7, 0xc1, 0xbf, 0x3e, 0x12, 0x53,
  0x11, 0xbc, 0x0c, 0x7c, 0x37, 0x27, 0x3b, 0x96, 0x81, 0xdc, 0xd2, 0x39,
  0xc6, 0xee, 0x74, 0x2f, 0xe2, 0xf2, 0x99, 0x68, 0x6b, 0xbe, 0xa6, 0x3a,
  0xd7, 0x56, 0xd7, 0x00, 0x39, 0x82, 0xba, 0x79, 0xa3, 0x2f, 0x4e, 0xc6,
  0xb7, 0xc9, 0x37, 0x21, 0x73, 0x75, 0xd9, 0xa9, 0x45, 0x28, 0x03, 0xa7,
  0x0c, 0x9c, 0xed, 0x91, 0xdb, 0x3f, 0xd2, 0x5f, 0xc9, 0x6e, 0x56, 0xaf,
  0x0b, 0xa5, 0x37, 0x1c, 0x87, 0xb4, 0x5b, 0xdd, 0x73, 0xca, 0xe3, 0x83,
  0x2a, 0x65, 0x9f, 0x50, 0xe2, 0xac, 0x2d, 0x7a, 0xf5, 0xb2, 0x1a, 0xcc,
  0x5e, 0xcc, 0xd2, 0x45, 0xa5, 0x8c, 0x32, 0x12, 0x09, 0x51, 0xb0, 0xa6,
  0x9e, 0x1d, 0xbf, 0xee, 0x05, 0x20, 0xde, 0xd2, 0x25, 0xa1, 0x88, 0x7e,
  0x1a, 0x6b, 0x83, 0xfa, 0x98, 0xaa, 0x69, 0x8a, 0xb5, 0x45, 0x87, 0xa1,
  0x91, 0x29, 0x25, 0x3e, 0xda, 0xad, 0xf6, 0x33, 0x23, 0x67, 0x0c, 0x39,
  0x33, 0x5a, 0x92, 0xb7, 0x00, 0x99, 0xe0, 0x9d, 0x0e, 0xaa, 0x7f, 0x34,
  0x84, 0xfb, 0x63, 0x5f, 0x75, 0x22, 0xdf, 0x12, 0x6c, 0x26, 0x74, 0xea,
  0x4b, 0xbb, 0x51, 0xc5, 0x5e, 0x79, 0x39, 0x5e, 0xf0, 0x8a, 0x08, 0xf7,
  0x37, 0xb6, 0x27, 0x47, 0x16, 0x82, 0xbb, 0xcc, 0xb4, 0x50, 0xdd, 0x18,
  0x66, 0xb8, 0xfe, 0x2d, 0xef, 0x93, 0x0f, 0xd1, 0x11, 0xda, 0xe7, 0xad,
  0xd0, 0xd2, 0xa4, 0x78, 0x9c, 0xf9, 0xc6, 0x10, 0x92, 0x7b, 0xe2, 0x48,
  0x7f, 0x6b, 0x82, 0xce, 0xd5, 0x55, 0xb4, 0x8b, 0xb2, 0x75, 0x74, 0x53,
  0x89, 0xad, 0xd9, 0x24, 0x77, 0xea, 0x61, 0xf2, 0x21, 0x54, 0xa7, 0x41,
  0x33, 0x6d, 0xa8, 0xa3, 0x5b, 0xd1, 0xb7, 0xd8, 0xe8, 0x96, 0x1f, 0x46,
  0x65, 0x01, 0x4b, 0x8b, 0x1a, 0x50, 0x72, 0x96, 0x4f, 0x6c, 0x60, 0xe5,
  0x91, 0x74, 0x5c, 0xc8, 0x97, 0x8d, 0x49, 0x69, 0x0b, 0xbf, 0xa6, 0xd4,
  0xcc, 0xe0, 0x1f, 0x1a, 0x30, 0x32, 0x3a, 0x9f, 0xe1, 0xbe, 0x5c, 0x75,
  0xee, 0xae, 0xb3, 0xcc, 0x33, 0xdb, 0x99, 0xca, 0x6b, 0xef, 0xbf, 0x99,
  0xaf, 0x47, 0x78, 0x25, 0x3d, 0xf8, 0xbe, 0x49, 0xdb, 0x34, 0x36, 0x00,
  0x0c, 0xec, 0xb8, 0x7c, 0x04, 0x14, 0x9b, 0xea, 0x5f, 0x82, 0xaf, 0x83,
  0xf8, 0x6e, 0x85, 0xa5, 0x75, 0xf1, 0x60, 0x68, 0x21, 0xc3, 0x3a, 0xca,
  0x1e, 0xbd, 0x07, 0x4d, 0x2d, 0x83, 0x24, 0x9c, 0xa9, 0xdc, 0x4d, 0xaf,
  0x95, 0x7f, 0xef, 0x1d, 0x1e, 0x50, 0xea, 0x08, 0xef, 0xd5, 0xf9, 0xb2,
  0x9e, 0xb9, 0xed, 0x97, 0x1e, 0xfd, 0x1b, 0x56, 0xcd, 0x67, 0xa0, 0x57,
  0x54, 0x5f, 0x1d, 0x43, 0x2b, 0xde, 0x6b, 0xc7, 0x29, 0xe9, 0x9d, 0x0a,
  0x84, 0xd4, 0x25, 0xb4, 0xf3, 0xb3, 0xdb, 0x1c, 0x98, 0xdc, 0x91, 0x49,
  0x16, 0xec, 0xc8, 0xfa, 0xa1, 0xb2, 0x03, 0xb6, 0xe5, 0x7a, 0xb4, 0x56,
  0xb5, 0xf5, 0x70, 0x4b, 0x75, 0x68, 0xb9, 0x6e, 0xea, 0x66, 0xc9, 0xe2,
  0x25, 0xc2, 0x4d, 0xe3, 0x14, 0xcc, 0xc1, 0xf9, 0xa0, 0xe0, 0x8e, 0x71,
  0xa0, 0xbf, 0x53, 0xbb, 0x2f, 0x60, 0x37, 0x76, 0xca, 0xfb, 0x55, 0x57,
  0x65, 0xbd, 0xda, 0xef, 0xf4, 0x65, 0xb2, 0xe9, 0x3c, 0x17, 0xa3, 0x55,
  0x4f, 0x5e, 0x8f, 0xd5, 0xef, 0xce, 0x1e, 0x64, 0x92, 0x8f, 0x4b, 0xde,
  0x7c, 0x8b, 0x89, 0x62, 0xb1, 0x60, 0xe2, 0x81
};

static const uint8_t p_4096[] = { /* key component p, 256 bytes */
  0xbd, 0x67, 0x35, 0x89, 0x0c, 0xdd, 0x2d, 0xae, 0xfa, 0xf4, 0xc3, 0xac,
  0xa0, 0xe7, 0x01, 0xe0, 0x3b, 0xb5, 0x3c, 0x7f, 0xe0, 0xe1, 0x80, 0x18,
  0x96, 0xce, 0x0d, 0x5f, 0xaf, 0x83, 0x14, 0x9c, 0xda, 0x50, 0xdd, 0x86,
  0xf4, 0x5f, 0x22, 0xd1, 0x5d, 0xdc, 0xc2, 0x36, 0x49, 0x8a, 0x88, 0xc9,
  0x0d, 0xf4, 0xc7, 0x01, 0x03, 0x2e, 0xca, 0x6c, 0xd8, 0x5f, 0xd2, 0x5c,
  0x9b, 0xfb, 0xa5, 0x0d, 0x3f, 0x26, 0xb0, 0x04, 0x07, 0x3a, 0xf5, 0x12,
  0xd5, 0x58, 0xd5, 0xe4, 0x46, 0x42, 0x1d, 0x69, 0x09, 0x6d, 0x05, 0x7f,
  0x37, 0x4a, 0x00, 0x04, 0x08, 0xab, 0xa4, 0x2e, 0xf6, 0x18, 0xe0, 0x06,
  0x10, 0x89, 0xa4, 0x83, 0x1d, 0x6e, 0x6e, 0x5f, 0x7b, 0x40, 0x3f, 0x9a,
  0xcf, 0x64, 0x7a, 0xc6, 0x43, 0xb9, 0x76, 0xda, 0xb7, 0x24, 0x55, 0xe4,
  0xd4, 0x5e, 0xb5, 0xd3, 0xf7, 0xe0, 0xae, 0x85, 0x7d, 0x83, 0x29, 0xb3,
  0x93, 0x1b, 0x9a, 0x8e, 0x5e, 0x79, 0x5b, 0xc2, 0x3b, 0x32, 0x5f, 0x4c,
  0x06, 0x84, 0xaa, 0x9c, 0x13, 0x6f, 0xb6, 0xad, 0xf3, 0x1e, 0x81, 0xd8,
  0x4a, 0x7d, 0xea, 0x23, 0x54, 0xa5, 0x67, 0x70, 0x4b, 0x58, 0xe6, 0x24,
  0x14, 0x31, 0x29, 0x52, 0xc6, 0xd9, 0x71, 0x87, 0xfb, 0x52, 0x8f, 0x34,
  0xc9, 0x0d, 0xa1, 0x10, 0x38, 0xbe, 0xcd, 0xf8, 0x0c, 0xf4, 0x5e, 0x20,
  0x20, 0xa4, 0xc7, 0xfb, 0xee, 0x92, 0x3f, 0xeb, 0x9d, 0x6f, 0x21, 0xd9,
  0xfb, 0x53, 0x79, 0xed, 0x9a, 0x51, 0xb0, 0xab, 0xed, 0x3d, 0x79, 0x99,
  0x89, 0x39, 0xc7, 0x33, 0x4c, 0x7e, 0x57, 0xfa, 0x55, 0x82, 0x54, 0x8a,
  0xe8, 0xa1, 0xe8, 0x81, 0xb7, 0x4d, 0x9a, 0xde, 0x35, 0x47, 0x5e, 0xbd,
  0xae, 0xae, 0x96, 0xc2, 0xdb, 0x3d, 0x39, 0xde, 0x7e, 0xfc, 0xd8, 0xcc,
  0x3f, 0xea, 0x8b, 0x63
};

static const uint8_t q_4096[] = { /* key component q, 256 bytes */
  0xcc, 0xf2, 0xcf, 0xaf, 0x2f, 0x5a, 0x22, 0x36, 0x67, 0x12, 0xce, 0xf9,
  0xef, 0xdc, 0x6b, 0xc4, 0xdf, 0x9a, 0x6b, 0x59, 0x43, 0xa7, 0x55, 0x56,
  0xa8, 0x5f, 0x32, 0xe2, 0x5d, 0x41, 0x33, 0xd6, 0x5b, 0x89, 0xb5, 0x2a,
  0x30, 0x06, 0xe3, 0x1b, 0x68, 0xbd, 0xad, 0x57, 0x0a, 0xd1, 0x44, 0xe1,
  0x9f, 0xe4, 0x99, 0xed, 0x6e, 0x0d, 0x24, 0xdd, 0xdd, 0x52, 0xb6, 0x67,
  0xc8, 0x51, 0xe3, 0x25, 0x9a, 0xd4, 0x17, 0xb6, 0x06, 0x17, 0x53, 0x26,
  0x78, 0x12, 0x4e, 0x8b, 0xe8, 0x73, 0x1a, 0x1f, 0xfe, 0xfa, 0xe5, 0xc1,
  0x54, 0xc2, 0x22, 0x98, 0xc4, 0xcf, 0xc1, 0xf9, 0x1c, 0x8b, 0xfa, 0xe4,
  0xb2, 0x50, 0x7e, 0x25, 0x24, 0x49, 0xd9, 0x3f, 0x63, 0x96, 0x51, 0x20,
  0xa7, 0x14, 0xa7, 0x81, 0xf8, 0x97, 0x97, 0x14, 0x5c, 0x25, 0xe1, 0x4d,
  0x7c, 0x70, 0xa7, 0x2c, 0xba, 0x80, 0x22, 0xc4, 0xf3, 0xdc, 0x8f, 0x4c,
  0xf2, 0x4b, 0x76, 0xe7, 0x70, 0xeb, 0xb5, 0xe2, 0x18, 0xd0, 0x28, 0x03,
  0x28, 0xf0, 0x30, 0x91, 0x54, 0x05, 0x41, 0xe5, 0x4d, 0x84, 0x87, 0x8b,
  0x22, 0xc3, 0x28, 0x9b, 0xcc, 0xd1, 0x29, 0xda, 0xe5, 0x2c, 0x32, 0x44,
  0x95, 0xc7, 0x5b, 0x77, 0xf3, 0x6a, 0x97, 0x0a, 0x2f, 0x18, 0xa4, 0xb0,
  0x67, 0x99, 0x46, 0xad, 0xcf, 0x24, 0xba, 0x2a, 0xbc, 0x04, 0x54, 0xe5,
  0x91, 0xbe, 0x37, 0x3c, 0x11, 0xf7, 0x8a, 0xa4, 0x2d, 0x6f, 0xca, 0x4d,
  0x16, 0x71, 0x6a, 0x02, 0xf7, 0xdf, 0xa9, 0x1c, 0x0e, 0x53, 0x51, 0x19,
  0xb8, 0x6c, 0x46, 0x61, 0x8e, 0x9c, 0x3a, 0x8f, 0xfa, 0x1a, 0x56, 0xa8,
  0xef, 0x16, 0x2b, 0x45, 0xc4, 0x70, 0xbf, 0xb4, 0x45, 0xf2, 0xbb, 0x67,
  0x4d, 0x96, 0xbb, 0xbb, 0x77, 0x7c, 0xc6, 0x4f, 0x7b, 0xce, 0xcf, 0x93,
  0xde, 0x11, 0x86, 0x21
};

static const uint8_t u_4096[] = { /* key component u, 256 bytes */
  0x54, 0x31, 0x57, 0xff, 0x2c, 0xac, 0x38, 0xe7, 0xef, 0xa6, 0x8e, 0x0f,
  0xba, 0xcd, 0x7f, 0xcb, 0x8a, 0x30, 0x4a, 0x98, 0xd9, 0xf2, 0xb8, 0x61,
  0x5e, 0x93, 0x8f, 0x99, 0xf4, 0xe8, 0x3e, 0xd8, 0x23, 0x6f, 0xab, 0xc0,
  0x64, 0x7d, 0x1a, 0xf1, 0x10, 0x8c, 0xd3, 0x3f, 0x3d, 0x2e, 0x0d, 0xa1,
  0x6c, 0xb7, 0x27, 0x9f, 0x87, 0x0c, 0x73, 0x3a, 0xe4, 0xb3, 0x03, 0x14,
  0xfd, 0x1a, 0x5e, 0xe9, 0x98, 0xde, 0xb0, 0x93, 0xd7, 0x36, 0x42, 0x7a,
  0xc4, 0xc4, 0x78, 0x78, 0x8c, 0x4d, 0x88, 0xc1, 0x5f, 0x6c, 0x6e, 0x05,
  0x65, 0xe9, 0x88, 0x04, 0xc4, 0x42, 0x3f, 0x02, 0x29, 0x79, 0xfe, 0x80,
  0xaa, 0x60, 0x5f, 0x7a, 0x20, 0xb5, 0x63, 0x71, 0x58, 0x0f, 0x37, 0xdf,
  0x0e, 0x94, 0x1b, 0xbb, 0x27, 0xb7, 0xcd, 0x03, 0xb6, 0x74, 0xd4, 0x2d,
  0xe4, 0xe1, 0xa3, 0x7a, 0xdc, 0x98, 0xeb, 0x31, 0x85, 0x6b, 0x0b, 0x0e,
  0x69, 0x1a, 0x5e, 0xfb, 0x45, 0x88, 0x23, 0x88, 0x83, 0x08, 0x1f, 0xe2,
  0xd2, 0x91, 0xfd, 0x12, 0xbc, 0x5d, 0x55, 0x9e, 0x4b, 0x1d, 0x7f, 0xb3,
  0xd3, 0xe9, 0x1b, 0x66, 0xdd, 0x37, 0x0d, 0x74, 0x0c, 0x42, 0xf2, 0xb3,
  0xd0, 0x04, 0xa9, 0x68, 0x41, 0x20, 0xe8, 0x4f, 0xfd, 0x92, 0xd3, 0xc0,
  0x24, 0xe7, 0x6d, 0x69, 0xd2, 0xe8, 0xc8, 0x08, 0x52, 0xd9, 0xfe, 0xcb,
  0x4b, 0x0c, 0x72, 0x56, 0x0a, 0x2a, 0xa3, 0x63, 0x00, 0xe6, 0xc5, 0xe1,
  0x91, 0x93, 0x21, 0x76, 0x2c, 0x14, 0xa4, 0xe3, 0xff, 0xf4, 0x45, 0xc0,
  0x1a, 0x0e, 0x94, 0xb3, 0x6d, 0x52, 0xe3, 0x88, 0x22, 0xaf, 0xa2, 0x85,
  0xa0, 0xfe, 0xdb, 0x2a, 0xfe, 0xa0, 0x4e, 0x9a, 0x2d, 0x1c, 0xbc, 0xe0,
  0xbe, 0x15, 0xaf, 0xec, 0xa8, 0xc9, 0x2d, 0x7a, 0x69, 0xd3, 0x3d, 0xac,
  0xa3, 0x92, 0x36, 0x0b
};

static const uint8_t m_4096[] = { /* message to be signed, 512 bytes */
  0x00, 0x01, 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, 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, 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, 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, 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,
  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, 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, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
  0xff, 0xff, 0xff, 0xff, 0x00, 0x30, 0x31, 0x30, 0x0d, 0x06, 0x09, 0x60,
  0x86, 0x48, 0x01, 0x65, 0x03, 0x04, 0x02, 0x01, 0x05, 0x00, 0x04, 0x20,
  0x8e, 0x36, 0xfc, 0x9a, 0xa3, 0x17, 0x24, 0xc3, 0x24, 0x16, 0x26, 0x3c,
  0x03, 0x66, 0xa1, 0x75, 0xfa, 0xbb, 0xb9, 0x2b, 0x74, 0x1c, 0xa6, 0x49,
  0x61, 0x07, 0x07, 0x4d, 0x03, 0x43, 0xb5, 0x97
};

static const uint8_t s_4096[] = { /* signed message, 512 bytes */
  0x57, 0x1c, 0xea, 0xc6, 0xef, 0x58, 0x63, 0x7f, 0x9f, 0x61, 0xd7, 0x28,
  0x33, 0xb2, 0x06, 0x55, 0xf6, 0x19, 0x30, 0x04, 0x40, 0xbd, 0x8a, 0x1b,
  0x61, 0x21, 0x5f, 0xc2, 0x97, 0x38, 0xd4, 0x3e, 0x20, 0x92, 0x12, 0x58,
  0x40, 0xd9, 0x60, 0x6f, 0x52, 0x82, 0x00, 0x00, 0x44, 0x68, 0x29, 0xf5,
  0xcb, 0x00, 0xf2, 0xde, 0xc8, 0x49, 0xba, 0x47, 0xf3, 0x5c, 0xb7, 0x8d,
  0xfd, 0x5f, 0x67, 0x12, 0xb9, 0x76, 0xed, 0x24, 0x1f, 0x25, 0x04, 0x17,
  0x08, 0x45, 0xaa, 0x55, 0x0a, 0x9b, 0x5e, 0x88, 0x03, 0x95, 0x1a, 0x77,
  0x7b, 0xe0, 0xe2, 0xd8, 0xc2, 0xef, 0x53, 0x22, 0x66, 0x92, 0x73, 0x19,
  0xcf, 0x1a, 0x26, 0x98, 0x57, 0x2e, 0xbc, 0x04, 0x36, 0xab, 0x26, 0xe9,
  0x57, 0x1b, 0x5d, 0x3f, 0x49, 0x13, 0xf8, 0x53, 0x3d, 0x4f, 0xbe, 0x41,
  0x59, 0x68, 0xa2, 0x34, 0x4e, 0xc7, 0x9d, 0x14, 0x0d, 0xaf, 0xdf, 0x91,
  0xba, 0xf7, 0xe4, 0xce, 0x04, 0x12, 0x9b, 0x47, 0x17, 0x3d, 0xb4, 0xd3,
  0x76, 0x74, 0xdb, 0x34, 0x80, 0x91, 0x26, 0x56, 0x7f, 0x55, 0x30, 0x64,
  0x15, 0xa4, 0xc2, 0x20, 0x1a, 0x34, 0xde, 0x0a, 0x6b, 0x99, 0x6a, 0x92,
  0xf0, 0x40, 0x26, 0xe4, 0x77, 0x73, 0x60, 0x98, 0xa9, 0xb8, 0xbf, 0xc6,
  0xda, 0x68, 0xa4, 0xcb, 0xee, 0xae, 0x58, 0xf9, 0xa4, 0xb1, 0xfd, 0xb9,
  0xaa, 0xfd, 0xea, 0xd2, 0x29, 0xec, 0x30, 0xb0, 0x30, 0xc7, 0x8e, 0xdb,
  0x4b, 0x65, 0x59, 0x65, 0x11, 0xe5, 0xc2, 0xe8, 0xca, 0x43, 0x33, 0x32,
  0x14, 0x5c, 0x97, 0xf4, 0xc2, 0xe9, 0xde, 0xc9, 0xa9, 0x9e, 0x55, 0x51,
  0x0e, 0xf7, 0x93, 0xda, 0x95, 0xbb, 0xe5, 0xd0, 0xf6, 0xd9, 0x1b, 0x54,
  0x34, 0x26, 0x25, 0x3a, 0xeb, 0xbf, 0x80, 0x0a, 0x8d, 0x94, 0x9f, 0x42,
  0x82, 0xfe, 0x46, 0x33, 0xe8, 0x33, 0x2b, 0xe2, 0xf3, 0xb3, 0x62, 0x1f,
  0x95, 0xbf, 0x80, 0xf1, 0x55, 0xc1, 0x10, 0xaf, 0xe4, 0x9f, 0x45, 0x97,
  0xa7, 0x2e, 0xdc, 0xaf, 0xba, 0xe9, 0x0a, 0x35, 0x15, 0x53, 0xbb, 0x23,
  0xad, 0xa4, 0x1a, 0xc5, 0x3b, 0x70, 0xb0, 0xe8, 0xad, 0x55, 0xb8, 0xd7,
  0x92, 0x82, 0xf5, 0xb9, 0xbb, 0x4c, 0x86, 0xe3, 0x7e, 0xe4, 0x56, 0xde,
  0x32, 0xa2, 0xd7, 0x9d, 0x2e, 0x78, 0x02, 0x32, 0x1e, 0x3e, 0x2c, 0x8e,
  0x2c, 0xa3, 0xad, 0x67, 0x46, 0x68, 0xe7, 0x9e, 0x4b, 0x9b, 0x39, 0xa2,
  0xdc, 0x41, 0x15, 0x77, 0xb2, 0xf7, 0xb6, 0xbe, 0xd0, 0xac, 0x6d, 0x30,
  0xda, 0x2e, 0xa0, 0x2d, 0xac, 0x1f, 0x25, 0xd3, 0xf1, 0xaf, 0xed, 0x42,
  0xd2, 0x8f, 0x3c, 0x34, 0xda, 0xb0, 0xab, 0xbe, 0xf6, 0xbc, 0xb2, 0xd2,
  0x8c, 0x1c, 0x8b, 0x8e, 0x65, 0x4c, 0xbf, 0x35, 0x67, 0xe0, 0x4f, 0x14,
  0xf1, 0x43, 0xea, 0x41, 0xce, 0x45, 0xc0, 0xbd, 0x56, 0xe1, 0xd7, 0x39,
  0x82, 0x40, 0x68, 0xbc, 0x5e, 0x36, 0xed, 0x5a, 0x29, 0x1e, 0x97, 0x50,
  0x3a, 0x73, 0x16, 0x75, 0x30, 0x7b, 0xb1, 0x90, 0x68, 0x3d, 0xba, 0xb1,
  0x09, 0x90, 0x27, 0x7a, 0x0c, 0x7b, 0x25, 0x2d, 0xac, 0x66, 0xf5, 0x1e,
  0xca, 0xdb, 0xf1, 0x96, 0x39, 0xb2, 0xf3, 0xa4, 0x3d, 0x26, 0xa2, 0x27,
  0xa5, 0xab, 0xb2, 0x24, 0x34, 0xb0, 0xb5, 0xbf, 0xb7, 0xd1, 0x18, 0x4e,
  0x74, 0x7b, 0x85, 0xe8, 0xfb, 0x1e, 0x54, 0x36, 0xf9, 0x85, 0xd5, 0x74,
  0x47, 0xe9, 0xf7, 0x6a, 0x29, 0x65, 0xb4, 0x53, 0x9b, 0x5c, 0xd3, 0xae,
  0xbc, 0x9f, 0x06, 0x27, 0xce, 0xa5, 0xf5, 0x7b, 0xd3, 0x93, 0xda, 0x09,
  0x2d, 0xad, 0xa0, 0xca, 0xb7, 0xe8, 0xba, 0xf9, 0xa9, 0x6a, 0xe3, 0x2e,
  0xd6, 0xc6, 0x3d, 0xae, 0x07, 0x24, 0x5a, 0xd7
};

typedef struct { const uint8_t *val; size_t len; } rsa_tc_bn_t;
typedef struct { size_t size; rsa_tc_bn_t n, e, d, p, q, u, m, s; } rsa_tc_t;

static const rsa_tc_t rsa_tc[] = {
  { 1024,
    { n_1024, sizeof(n_1024) },
    { e_1024, sizeof(e_1024) },
    { d_1024, sizeof(d_1024) },
    { p_1024, sizeof(p_1024) },
    { q_1024, sizeof(q_1024) },
    { u_1024, sizeof(u_1024) },
    { m_1024, sizeof(m_1024) },
    { s_1024, sizeof(s_1024) }
  },
  { 2048,
    { n_2048, sizeof(n_2048) },
    { e_2048, sizeof(e_2048) },
    { d_2048, sizeof(d_2048) },
    { p_2048, sizeof(p_2048) },
    { q_2048, sizeof(q_2048) },
    { u_2048, sizeof(u_2048) },
    { m_2048, sizeof(m_2048) },
    { s_2048, sizeof(s_2048) }
  },
  { 4096,
    { n_4096, sizeof(n_4096) },
    { e_4096, sizeof(e_4096) },
    { d_4096, sizeof(d_4096) },
    { p_4096, sizeof(p_4096) },
    { q_4096, sizeof(q_4096) },
    { u_4096, sizeof(u_4096) },
    { m_4096, sizeof(m_4096) },
    { s_4096, sizeof(s_4096) }
  }
};