Source

lrc / src / strategies / cryptopp / eccrypto.cpp

  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
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
// eccrypto.cpp - written and placed in the public domain by Wei Dai

#include "pch.h"

#ifndef CRYPTOPP_IMPORTS

#include "eccrypto.h"
#include "nbtheory.h"
#include "oids.h"
#include "hex.h"
#include "argnames.h"
#include "ec2n.h"

NAMESPACE_BEGIN(CryptoPP)

#if 0
static void ECDSA_TestInstantiations()
{
	ECDSA<EC2N>::Signer t1;
	ECDSA<EC2N>::Verifier t2(t1);
	ECNR<ECP>::Signer t3;
	ECNR<ECP>::Verifier t4(t3);
	ECIES<ECP>::Encryptor t5;
	ECIES<EC2N>::Decryptor t6;
	ECDH<ECP>::Domain t7;
	ECMQV<ECP>::Domain t8;
}
#endif

// VC60 workaround: complains when these functions are put into an anonymous namespace
static Integer ConvertToInteger(const PolynomialMod2 &x)
{
	unsigned int l = x.ByteCount();
	SecByteBlock temp(l);
	x.Encode(temp, l);
	return Integer(temp, l);
}

static inline Integer ConvertToInteger(const Integer &x)
{
	return x;
}

static bool CheckMOVCondition(const Integer &q, const Integer &r)
{
	// see "Updated standards for validating elliptic curves", http://eprint.iacr.org/2007/343
	Integer t = 1;
	unsigned int n = q.IsEven() ? 1 : q.BitCount(), m = r.BitCount();

	for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
	{
		if (q.IsEven())
			t = (t+t)%r;
		else
			t = (t*q)%r;
		if (t == 1)
			return false;
	}
	return true;
}

// ******************************************************************

template <class T> struct EcRecommendedParameters;

template<> struct EcRecommendedParameters<EC2N>
{
	EcRecommendedParameters(const OID &oid, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
		: oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
	EcRecommendedParameters(const OID &oid, unsigned int t0, unsigned int t1, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
		: oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
	EC2N *NewEC() const
	{
		StringSource ssA(a, true, new HexDecoder);
		StringSource ssB(b, true, new HexDecoder);
		if (t0 == 0)
			return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
		else
			return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
	};

	OID oid;
	unsigned int t0, t1, t2, t3, t4;
	const char *a, *b, *g, *n;
	unsigned int h;
};

template<> struct EcRecommendedParameters<ECP>
{
	EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
		: oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
	ECP *NewEC() const
	{
		StringSource ssP(p, true, new HexDecoder);
		StringSource ssA(a, true, new HexDecoder);
		StringSource ssB(b, true, new HexDecoder);
		return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
	};

	OID oid;
	const char *p;
	const char *a, *b, *g, *n;
	unsigned int h;
};

struct OIDLessThan
{
	template <typename T>
	inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
	template <typename T>
	inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
	template <typename T>
	inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
};

static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
{
	// this array must be sorted by OID
	static const EcRecommendedParameters<EC2N> rec[] = {
		EcRecommendedParameters<EC2N>(ASN1::sect163k1(), 
			163, 7, 6, 3, 0,
			"000000000000000000000000000000000000000001",
			"000000000000000000000000000000000000000001",
			"0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
			"04000000000000000000020108A2E0CC0D99F8A5EF",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect163r1(), 
			163, 7, 6, 3, 0,
			"07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
			"0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
			"040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
			"03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect239k1(), 
			239, 158, 0,
			"000000000000000000000000000000000000000000000000000000000000",
			"000000000000000000000000000000000000000000000000000000000001",
			"0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
			"2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
			4),
		EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
			113, 9, 0,
			"003088250CA6E7C7FE649CE85820F7",
			"00E8BEE4D3E2260744188BE0E9C723",
			"04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
			"0100000000000000D9CCEC8A39E56F",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect113r2(), 
			113, 9, 0,
			"00689918DBEC7E5A0DD6DFC0AA55C7",
			"0095E9A9EC9B297BD4BF36E059184F",
			"0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
			"010000000000000108789B2496AF93",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect163r2(), 
			163, 7, 6, 3, 0,
			"000000000000000000000000000000000000000001",
			"020A601907B8C953CA1481EB10512F78744A3205FD",
			"0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
			"040000000000000000000292FE77E70C12A4234C33",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect283k1(), 
			283, 12, 7, 5, 0,
			"000000000000000000000000000000000000000000000000000000000000000000000000",
			"000000000000000000000000000000000000000000000000000000000000000000000001",
			"040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
			4),
		EcRecommendedParameters<EC2N>(ASN1::sect283r1(), 
			283, 12, 7, 5, 0,
			"000000000000000000000000000000000000000000000000000000000000000000000001",
			"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
			"0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
			"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect131r1(), 
			131, 8, 3, 2, 0,
			"07A11B09A76B562144418FF3FF8C2570B8",
			"0217C05610884B63B9C6C7291678F9D341",
			"040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
			"0400000000000000023123953A9464B54D",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect131r2(), 
			131, 8, 3, 2, 0,
			"03E5A88919D7CAFCBF415F07C2176573B2",
			"04B8266A46C55657AC734CE38F018F2192",
			"040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
			"0400000000000000016954A233049BA98F",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect193r1(), 
			193, 15, 0,
			"0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
			"00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
			"0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
			"01000000000000000000000000C7F34A778F443ACC920EBA49",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect193r2(), 
			193, 15, 0,
			"0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
			"00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
			"0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
			"010000000000000000000000015AAB561B005413CCD4EE99D5",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect233k1(), 
			233, 74, 0,
			"000000000000000000000000000000000000000000000000000000000000",
			"000000000000000000000000000000000000000000000000000000000001",
			"04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
			"8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
			4),
		EcRecommendedParameters<EC2N>(ASN1::sect233r1(), 
			233, 74, 0,
			"000000000000000000000000000000000000000000000000000000000001",
			"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
			"0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
			"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect409k1(), 
			409, 87, 0,
			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
			"040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
			"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
			4),
		EcRecommendedParameters<EC2N>(ASN1::sect409r1(), 
			409, 87, 0,
			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
			"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
			"04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
			"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
			2),
		EcRecommendedParameters<EC2N>(ASN1::sect571k1(), 
			571, 10, 5, 2, 0,
			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
			"04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
			"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
			4),
		EcRecommendedParameters<EC2N>(ASN1::sect571r1(), 
			571, 10, 5, 2, 0,
			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
			"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
			"040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
			"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
			2),
	};
	begin = rec;
	end = rec + sizeof(rec)/sizeof(rec[0]);
}

static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
{
	// this array must be sorted by OID
	static const EcRecommendedParameters<ECP> rec[] = {
		EcRecommendedParameters<ECP>(ASN1::secp192r1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
			"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
			"04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
			"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp256r1(),
			"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
			"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
			"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
			"046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
			"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP160r1(),
			"E95E4A5F737059DC60DFC7AD95B3D8139515620F",
			"340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
			"1E589A8595423412134FAA2DBDEC95C8D8675E58",
			"04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
			"E95E4A5F737059DC60DF5991D45029409E60FC09",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP192r1(),
			"C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
			"6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
			"469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
			"04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
			"C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP224r1(),
			"D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
			"68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
			"2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
			"040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
			"D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP256r1(),
			"A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
			"7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
			"26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
			"048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
			"A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP320r1(),
			"D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
			"3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
			"520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
			"0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
			"D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP384r1(),
			"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
			"7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
			"04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11",
			"041D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315",
			"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565",
			1),
		EcRecommendedParameters<ECP>(ASN1::brainpoolP512r1(),
			"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3",
			"7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA",
			"3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723",
			"0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892",
			"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp112r1(),
			"DB7C2ABF62E35E668076BEAD208B",
			"DB7C2ABF62E35E668076BEAD2088",
			"659EF8BA043916EEDE8911702B22",
			"0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
			"DB7C2ABF62E35E7628DFAC6561C5",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp112r2(),
			"DB7C2ABF62E35E668076BEAD208B",
			"6127C24C05F38A0AAAF65C0EF02C",
			"51DEF1815DB5ED74FCC34C85D709",
			"044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
			"36DF0AAFD8B8D7597CA10520D04B",
			4),
		EcRecommendedParameters<ECP>(ASN1::secp160r1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
			"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
			"044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
			"0100000000000000000001F4C8F927AED3CA752257",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp160k1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
			"0000000000000000000000000000000000000000",
			"0000000000000000000000000000000000000007",
			"043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
			"0100000000000000000001B8FA16DFAB9ACA16B6B3",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp256k1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
			"0000000000000000000000000000000000000000000000000000000000000000",
			"0000000000000000000000000000000000000000000000000000000000000007",
			"0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp128r1(),
			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
			"E87579C11079F43DD824993C2CEE5ED3",
			"04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
			"FFFFFFFE0000000075A30D1B9038A115",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp128r2(),
			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
			"D6031998D1B3BBFEBF59CC9BBFF9AEE1",
			"5EEEFCA380D02919DC2C6558BB6D8A5D",
			"047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
			"3FFFFFFF7FFFFFFFBE0024720613B5A3",
			4),
		EcRecommendedParameters<ECP>(ASN1::secp160r2(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
			"B4E134D3FB59EB8BAB57274904664D5AF50388BA",
			"0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
			"0100000000000000000000351EE786A818F3A1A16B",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp192k1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
			"000000000000000000000000000000000000000000000000",
			"000000000000000000000000000000000000000000000003",
			"04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
			"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp224k1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
			"00000000000000000000000000000000000000000000000000000000",
			"00000000000000000000000000000000000000000000000000000005",
			"04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
			"010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp224r1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
			"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
			"04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp384r1(),
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
			"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
			"04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
			1),
		EcRecommendedParameters<ECP>(ASN1::secp521r1(),
			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
			"0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
			"0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
			1),
	};
	begin = rec;
	end = rec + sizeof(rec)/sizeof(rec[0]);
}

template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
{
	const EcRecommendedParameters<EllipticCurve> *begin, *end;
	GetRecommendedParameters(begin, end);
	const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
	return (it == end ? OID() : it->oid);
}

template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
{
	const EcRecommendedParameters<EllipticCurve> *begin, *end;
	GetRecommendedParameters(begin, end);
	const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
	if (it == end || it->oid != oid)
		throw UnknownOID();

	const EcRecommendedParameters<EllipticCurve> &param = *it;
	m_oid = oid;
	std::auto_ptr<EllipticCurve> ec(param.NewEC());
	this->m_groupPrecomputation.SetCurve(*ec);

	StringSource ssG(param.g, true, new HexDecoder);
	Element G;
	bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
	this->SetSubgroupGenerator(G);
	assert(result);

	StringSource ssN(param.n, true, new HexDecoder);
	m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
	m_k = param.h;
}

template <class EC>
bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
{
	if (strcmp(name, Name::GroupOID()) == 0)
	{
		if (m_oid.m_values.empty())
			return false;

		this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
		*reinterpret_cast<OID *>(pValue) = m_oid;
		return true;
	}
	else
		return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
			CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
}

template <class EC>
void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
{
	OID oid;
	if (source.GetValue(Name::GroupOID(), oid))
		Initialize(oid);
	else
	{
		EllipticCurve ec;
		Point G;
		Integer n;

		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
		Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());

		Initialize(ec, G, n, k);
	}
}

template <class EC>
void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
{
	try
	{
		AssignFrom(alg);
	}
	catch (InvalidArgument &)
	{
		throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
	}
}

template <class EC>
void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
{
	byte b;
	if (!bt.Peek(b))
		BERDecodeError();
	if (b == OBJECT_IDENTIFIER)
		Initialize(OID(bt));
	else
	{
		BERSequenceDecoder seq(bt);
			word32 version;
			BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);	// check version
			EllipticCurve ec(seq);
			Point G = ec.BERDecodePoint(seq);
			Integer n(seq);
			Integer k;
			bool cofactorPresent = !seq.EndReached();
			if (cofactorPresent)
				k.BERDecode(seq);
			else
				k = Integer::Zero();
		seq.MessageEnd();

		Initialize(ec, G, n, k);
	}
}

template <class EC>
void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
{
	if (m_encodeAsOID && !m_oid.m_values.empty())
		m_oid.DEREncode(bt);
	else
	{
		DERSequenceEncoder seq(bt);
		DEREncodeUnsigned<word32>(seq, 1);	// version
		GetCurve().DEREncode(seq);
		GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
		m_n.DEREncode(seq);
		if (m_k.NotZero())
			m_k.DEREncode(seq);
		seq.MessageEnd();
	}
}

template <class EC>
Integer DL_GroupParameters_EC<EC>::GetCofactor() const
{
	if (!m_k)
	{
		Integer q = GetCurve().FieldSize();
		Integer qSqrt = q.SquareRoot();
		m_k = (q+2*qSqrt+1)/m_n;
	}

	return m_k;
}

template <class EC>
Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
{
	return ConvertToInteger(element.x);
};

template <class EC>
bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
{
	bool pass = GetCurve().ValidateParameters(rng, level);

	Integer q = GetCurve().FieldSize();
	pass = pass && m_n!=q;

	if (level >= 2)
	{
		Integer qSqrt = q.SquareRoot();
		pass = pass && m_n>4*qSqrt;
		pass = pass && VerifyPrime(rng, m_n, level-2);
		pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
		pass = pass && CheckMOVCondition(q, m_n);
	}

	return pass;
}

template <class EC>
bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
{
	bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
	if (level >= 1)
	{
		if (gpc)
			pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
	}
	if (level >= 2 && pass)
	{
		const Integer &q = GetSubgroupOrder();
		Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : this->ExponentiateElement(g, q);
		pass = pass && IsIdentity(gq);
	}
	return pass;
}

template <class EC>
void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
{
	GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
}

template <class EC>
CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
{
	return GetCurve().Add(a, b);
}

template <class EC>
CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const
{
	return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
}

template <class EC>
OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
{
	return ASN1::id_ecPublicKey();
}

// ******************************************************************

template <class EC>
void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
{
	typename EC::Point P;
	if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
		BERDecodeError();
	this->SetPublicElement(P);
}

template <class EC>
void DL_PublicKey_EC<EC>::DEREncodePublicKey(BufferedTransformation &bt) const
{
	this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
}

// ******************************************************************

template <class EC>
void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
{
	BERSequenceDecoder seq(bt);
		word32 version;
		BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);	// check version

		BERGeneralDecoder dec(seq, OCTET_STRING);
		if (!dec.IsDefiniteLength())
			BERDecodeError();
		Integer x;
		x.Decode(dec, (size_t)dec.RemainingLength());
		dec.MessageEnd();
		if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
			BERDecodeError();
		if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
		{
			BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
			this->AccessGroupParameters().BERDecode(parameters);
			parameters.MessageEnd();
		}
		if (!seq.EndReached())
		{
			// skip over the public element
			SecByteBlock subjectPublicKey;
			unsigned int unusedBits;
			BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
			BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
			publicKey.MessageEnd();
			Element Q;
			if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
				BERDecodeError();
		}
	seq.MessageEnd();

	this->SetPrivateExponent(x);
}

template <class EC>
void DL_PrivateKey_EC<EC>::DEREncodePrivateKey(BufferedTransformation &bt) const
{
	DERSequenceEncoder privateKey(bt);
		DEREncodeUnsigned<word32>(privateKey, 1);	// version
		// SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
		// this will be changed to order of base point in a future version
		this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
	privateKey.MessageEnd();
}

NAMESPACE_END

#endif