00001
00002
00003
#include "pch.h"
00004
00005
#ifndef CRYPTOPP_IMPORTS
00006
00007
#include "eccrypto.h"
00008
#include "nbtheory.h"
00009
#include "oids.h"
00010
#include "hex.h"
00011
#include "argnames.h"
00012
#include "ec2n.h"
00013
00014 NAMESPACE_BEGIN(CryptoPP)
00015
00016 #ifndef NDEBUG
00017
static void ECDSA_TestInstantiations()
00018 {
00019
ECDSA<EC2N>::Signer t1;
00020
ECDSA<EC2N>::Verifier t2(t1);
00021
ECNR<ECP>::Signer t3;
00022
ECNR<ECP>::Verifier t4(t3);
00023
ECIES<ECP>::Encryptor t5;
00024
ECIES<EC2N>::Decryptor t6;
00025
ECDH<ECP>::Domain t7;
00026
ECMQV<ECP>::Domain t8;
00027 }
00028
#endif
00029
00030
00031
static Integer ConvertToInteger(
const PolynomialMod2 &x)
00032 {
00033
unsigned int l = x.ByteCount();
00034
SecByteBlock temp(l);
00035 x.Encode(temp, l);
00036
return Integer(temp, l);
00037 }
00038
00039
static inline Integer ConvertToInteger(
const Integer &x)
00040 {
00041
return x;
00042 }
00043
00044
static bool CheckMOVCondition(
const Integer &q,
const Integer &r)
00045 {
00046
Integer t=1;
00047
unsigned int n=q.
BitCount(), m=r.
BitCount();
00048
00049
for (
unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00050 {
00051 t = (t*q)%r;
00052
if (t == 1)
00053
return false;
00054 }
00055
return true;
00056 }
00057
00058
00059
00060
template <
class T>
struct EcRecommendedParameters;
00061
00062
template<>
struct EcRecommendedParameters<EC2N>
00063 {
00064 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)
00065 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00066 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)
00067 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00068 EC2N *NewEC()
const
00069
{
00070
StringSource ssA(a,
true,
new HexDecoder);
00071
StringSource ssB(b,
true,
new HexDecoder);
00072
if (t0 == 0)
00073
return new EC2N(
GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
00074
else
00075
return new EC2N(
GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
00076 };
00077
00078
OID oid;
00079
unsigned int t0, t1, t2, t3, t4;
00080
const char *a, *b, *g, *n;
00081
unsigned int h;
00082 };
00083
00084
template<>
struct EcRecommendedParameters<ECP>
00085 {
00086 EcRecommendedParameters(
const OID &oid,
const char *p,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
00087 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00088 ECP *NewEC()
const
00089
{
00090
StringSource ssP(p,
true,
new HexDecoder);
00091
StringSource ssA(a,
true,
new HexDecoder);
00092
StringSource ssB(b,
true,
new HexDecoder);
00093
return new ECP(
Integer(ssP, ssP.MaxRetrievable()),
ECP::FieldElement(ssA, ssA.MaxRetrievable()),
ECP::FieldElement(ssB, ssB.MaxRetrievable()));
00094 };
00095
00096
OID oid;
00097
const char *p;
00098
const char *a, *b, *g, *n;
00099
unsigned int h;
00100 };
00101
00102
struct OIDLessThan
00103 {
00104
template <
typename T>
00105
inline bool operator()(
const EcRecommendedParameters<T>& a,
const OID& b) {
return a.oid < b;}
00106
template <
typename T>
00107
inline bool operator()(
const OID& a,
const EcRecommendedParameters<T>& b) {
return a < b.oid;}
00108 };
00109
00110
static void GetRecommendedParameters(
const EcRecommendedParameters<EC2N> *&begin,
const EcRecommendedParameters<EC2N> *&end)
00111 {
00112
00113
static const EcRecommendedParameters<EC2N> rec[] = {
00114 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
00115 163, 7, 6, 3, 0,
00116
"000000000000000000000000000000000000000001",
00117
"000000000000000000000000000000000000000001",
00118
"0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00119
"04000000000000000000020108A2E0CC0D99F8A5EF",
00120 2),
00121 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
00122 163, 7, 6, 3, 0,
00123
"07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00124
"0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00125
"040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00126
"03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00127 2),
00128 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
00129 239, 158, 0,
00130
"000000000000000000000000000000000000000000000000000000000000",
00131
"000000000000000000000000000000000000000000000000000000000001",
00132
"0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00133
"2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00134 4),
00135 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00136 113, 9, 0,
00137
"003088250CA6E7C7FE649CE85820F7",
00138
"00E8BEE4D3E2260744188BE0E9C723",
00139
"04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00140
"0100000000000000D9CCEC8A39E56F",
00141 2),
00142 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
00143 113, 9, 0,
00144
"00689918DBEC7E5A0DD6DFC0AA55C7",
00145
"0095E9A9EC9B297BD4BF36E059184F",
00146
"0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00147
"010000000000000108789B2496AF93",
00148 2),
00149 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
00150 163, 7, 6, 3, 0,
00151
"000000000000000000000000000000000000000001",
00152
"020A601907B8C953CA1481EB10512F78744A3205FD",
00153
"0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00154
"040000000000000000000292FE77E70C12A4234C33",
00155 2),
00156 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
00157 283, 12, 7, 5, 0,
00158
"000000000000000000000000000000000000000000000000000000000000000000000000",
00159
"000000000000000000000000000000000000000000000000000000000000000000000001",
00160
"040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00161
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00162 4),
00163 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
00164 283, 12, 7, 5, 0,
00165
"000000000000000000000000000000000000000000000000000000000000000000000001",
00166
"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00167
"0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00168
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00169 2),
00170 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
00171 131, 8, 3, 2, 0,
00172
"07A11B09A76B562144418FF3FF8C2570B8",
00173
"0217C05610884B63B9C6C7291678F9D341",
00174
"040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00175
"0400000000000000023123953A9464B54D",
00176 2),
00177 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
00178 131, 8, 3, 2, 0,
00179
"03E5A88919D7CAFCBF415F07C2176573B2",
00180
"04B8266A46C55657AC734CE38F018F2192",
00181
"040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00182
"0400000000000000016954A233049BA98F",
00183 2),
00184 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
00185 193, 15, 0,
00186
"0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00187
"00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00188
"0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00189
"01000000000000000000000000C7F34A778F443ACC920EBA49",
00190 2),
00191 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
00192 193, 15, 0,
00193
"0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00194
"00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00195
"0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00196
"010000000000000000000000015AAB561B005413CCD4EE99D5",
00197 2),
00198 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
00199 233, 74, 0,
00200
"000000000000000000000000000000000000000000000000000000000000",
00201
"000000000000000000000000000000000000000000000000000000000001",
00202
"04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00203
"8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00204 4),
00205 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
00206 233, 74, 0,
00207
"000000000000000000000000000000000000000000000000000000000001",
00208
"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00209
"0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00210
"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00211 2),
00212 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
00213 409, 87, 0,
00214
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00215
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00216
"040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00217
"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00218 4),
00219 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
00220 409, 87, 0,
00221
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00222
"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00223
"04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00224
"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00225 2),
00226 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
00227 571, 10, 5, 2, 0,
00228
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00229
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00230
"04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00231
"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00232 4),
00233 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
00234 571, 10, 5, 2, 0,
00235
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00236
"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00237
"040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00238
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00239 2),
00240 };
00241 begin = rec;
00242 end = rec +
sizeof(rec)/
sizeof(rec[0]);
00243 }
00244
00245
static void GetRecommendedParameters(
const EcRecommendedParameters<ECP> *&begin,
const EcRecommendedParameters<ECP> *&end)
00246 {
00247
00248
static const EcRecommendedParameters<ECP> rec[] = {
00249 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00250
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00251
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00252
"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00253
"04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00254
"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00255 1),
00256 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00257
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00258
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00259
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00260
"046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00261
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00262 1),
00263 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00264
"DB7C2ABF62E35E668076BEAD208B",
00265
"DB7C2ABF62E35E668076BEAD2088",
00266
"659EF8BA043916EEDE8911702B22",
00267
"0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00268
"DB7C2ABF62E35E7628DFAC6561C5",
00269 1),
00270 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00271
"DB7C2ABF62E35E668076BEAD208B",
00272
"6127C24C05F38A0AAAF65C0EF02C",
00273
"51DEF1815DB5ED74FCC34C85D709",
00274
"044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00275
"36DF0AAFD8B8D7597CA10520D04B",
00276 4),
00277 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00278
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00279
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00280
"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00281
"044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00282
"0100000000000000000001F4C8F927AED3CA752257",
00283 1),
00284 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00285
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00286
"0000000000000000000000000000000000000000",
00287
"0000000000000000000000000000000000000007",
00288
"043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00289
"0100000000000000000001B8FA16DFAB9ACA16B6B3",
00290 1),
00291 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00292
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00293
"0000000000000000000000000000000000000000000000000000000000000000",
00294
"0000000000000000000000000000000000000000000000000000000000000007",
00295
"0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00296
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00297 1),
00298 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00299
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00300
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00301
"E87579C11079F43DD824993C2CEE5ED3",
00302
"04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00303
"FFFFFFFE0000000075A30D1B9038A115",
00304 1),
00305 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00306
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00307
"D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00308
"5EEEFCA380D02919DC2C6558BB6D8A5D",
00309
"047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00310
"3FFFFFFF7FFFFFFFBE0024720613B5A3",
00311 4),
00312 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00313
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00314
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00315
"B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00316
"0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00317
"0100000000000000000000351EE786A818F3A1A16B",
00318 1),
00319 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00320
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00321
"000000000000000000000000000000000000000000000000",
00322
"000000000000000000000000000000000000000000000003",
00323
"04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00324
"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00325 1),
00326 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00327
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00328
"00000000000000000000000000000000000000000000000000000000",
00329
"00000000000000000000000000000000000000000000000000000005",
00330
"04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00331
"010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00332 1),
00333 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00334
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00335
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00336
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00337
"04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00338
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00339 1),
00340 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00341
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00342
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00343
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00344
"04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00345
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00346 1),
00347 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00348
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00349
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00350
"0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00351
"0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00352
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00353 1),
00354 };
00355 begin = rec;
00356 end = rec +
sizeof(rec)/
sizeof(rec[0]);
00357 }
00358
00359
template <
class EC>
OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(
const OID &oid)
00360 {
00361
const EcRecommendedParameters<EllipticCurve> *begin, *end;
00362 GetRecommendedParameters(begin, end);
00363
const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00364
return (it == end ?
OID() : it->oid);
00365 }
00366
00367
template <
class EC>
void DL_GroupParameters_EC<EC>::Initialize(
const OID &oid)
00368 {
00369
const EcRecommendedParameters<EllipticCurve> *begin, *end;
00370 GetRecommendedParameters(begin, end);
00371
const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00372
if (it == end || it->oid != oid)
00373
throw UnknownOID();
00374
00375
const EcRecommendedParameters<EllipticCurve> ¶m = *it;
00376 m_oid = oid;
00377 std::auto_ptr<EllipticCurve> ec(param.NewEC());
00378 this->m_groupPrecomputation.SetCurve(*ec);
00379
00380
StringSource ssG(param.g,
true,
new HexDecoder);
00381 Element G;
00382
bool result = GetCurve().DecodePoint(G, ssG, ssG.MaxRetrievable());
00383 SetSubgroupGenerator(G);
00384 assert(result);
00385
00386
StringSource ssN(param.n,
true,
new HexDecoder);
00387 m_n.Decode(ssN, ssN.MaxRetrievable());
00388 m_k = param.h;
00389 }
00390
00391
template <
class EC>
00392
bool DL_GroupParameters_EC<EC>::GetVoidValue(
const char *name,
const std::type_info &valueType,
void *pValue)
const
00393
{
00394
if (strcmp(name, Name::GroupOID()) == 0)
00395 {
00396
if (m_oid.m_values.empty())
00397
return false;
00398
00399 this->ThrowIfTypeMismatch(name,
typeid(
OID), valueType);
00400 *reinterpret_cast<OID *>(pValue) = m_oid;
00401
return true;
00402 }
00403
else
00404
return GetValueHelper<DL_GroupParameters<Element> >(
this, name, valueType, pValue).Assignable()
00405 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00406 }
00407
00408 template <class EC>
00409
void DL_GroupParameters_EC<EC>::AssignFrom(const
NameValuePairs &source)
00410 {
00411
OID oid;
00412
if (source.GetValue(Name::GroupOID(), oid))
00413 Initialize(oid);
00414
else
00415 {
00416 EllipticCurve ec;
00417 Point G;
00418
Integer n;
00419
00420 source.GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00421 source.GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00422 source.GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00423
Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00424
00425 Initialize(ec, G, n, k);
00426 }
00427 }
00428
00429
template <
class EC>
00430 void DL_GroupParameters_EC<EC>::GenerateRandom(
RandomNumberGenerator &rng,
const NameValuePairs &alg)
00431 {
00432
try
00433 {
00434 AssignFrom(alg);
00435 }
00436
catch (
InvalidArgument &)
00437 {
00438
throw NotImplemented(
"DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00439 }
00440 }
00441
00442
template <
class EC>
00443
void DL_GroupParameters_EC<EC>::BERDecode(
BufferedTransformation &bt)
00444 {
00445 byte b;
00446
if (!bt.
Peek(b))
00447 BERDecodeError();
00448
if (b == OBJECT_IDENTIFIER)
00449 Initialize(
OID(bt));
00450
else
00451 {
00452
BERSequenceDecoder seq(bt);
00453 word32 version;
00454 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00455 EllipticCurve ec(seq);
00456 Point G = ec.BERDecodePoint(seq);
00457
Integer n(seq);
00458
Integer k;
00459
bool cofactorPresent = !seq.EndReached();
00460
if (cofactorPresent)
00461 k.
BERDecode(seq);
00462
else
00463 k =
Integer::Zero();
00464 seq.MessageEnd();
00465
00466 Initialize(ec, G, n, k);
00467 }
00468 }
00469
00470
template <
class EC>
00471
void DL_GroupParameters_EC<EC>::DEREncode(
BufferedTransformation &bt)
const
00472
{
00473
if (m_encodeAsOID && !m_oid.
m_values.empty())
00474 m_oid.
DEREncode(bt);
00475
else
00476 {
00477
DERSequenceEncoder seq(bt);
00478 DEREncodeUnsigned<word32>(seq, 1);
00479 GetCurve().DEREncode(seq);
00480 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
00481 m_n.
DEREncode(seq);
00482
if (m_k.
NotZero())
00483 m_k.
DEREncode(seq);
00484 seq.MessageEnd();
00485 }
00486 }
00487
00488
template <
class EC>
00489
Integer DL_GroupParameters_EC<EC>::GetCofactor()
const
00490
{
00491
if (!m_k)
00492 {
00493
Integer q = GetCurve().FieldSize();
00494
Integer qSqrt = q.
SquareRoot();
00495 m_k = (q+2*qSqrt+1)/m_n;
00496 }
00497
00498
return m_k;
00499 }
00500
00501
template <
class EC>
00502
Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(
const Element &element)
const
00503
{
00504
return ConvertToInteger(element.x);
00505 };
00506
00507
template <
class EC>
00508
bool DL_GroupParameters_EC<EC>::ValidateGroup(
RandomNumberGenerator &rng,
unsigned int level)
const
00509
{
00510
bool pass = GetCurve().ValidateParameters(rng, level);
00511
00512
Integer q = GetCurve().FieldSize();
00513 pass = pass && m_n!=q;
00514
00515
if (level >= 2)
00516 {
00517
Integer qSqrt = q.
SquareRoot();
00518 pass = pass && m_n>4*qSqrt;
00519 pass = pass && VerifyPrime(rng, m_n, level-2);
00520 pass = pass && (m_k.
IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00521 pass = pass && CheckMOVCondition(q, m_n);
00522 }
00523
00524
return pass;
00525 }
00526
00527
template <
class EC>
00528
bool DL_GroupParameters_EC<EC>::ValidateElement(
unsigned int level,
const Element &g,
const DL_FixedBasePrecomputation<Element> *gpc)
const
00529
{
00530
bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00531
if (level >= 1)
00532 {
00533
if (gpc)
00534 pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(),
Integer::One()) == g;
00535 }
00536
if (level >= 2)
00537 {
00538
const Integer &q = GetSubgroupOrder();
00539 pass = pass && IsIdentity(gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : ExponentiateElement(g, q));
00540 }
00541
return pass;
00542 }
00543
00544
template <
class EC>
00545
void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results,
const Element &base,
const Integer *exponents,
unsigned int exponentsCount)
const
00546
{
00547 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00548 }
00549
00550
template <
class EC>
00551 CPP_TYPENAME
DL_GroupParameters_EC<EC>::Element
DL_GroupParameters_EC<EC>::MultiplyElements(
const Element &a,
const Element &b)
const
00552
{
00553
return GetCurve().Add(a, b);
00554 }
00555
00556
template <
class EC>
00557 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
00558
{
00559
return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00560 }
00561
00562
template <
class EC>
00563
OID DL_GroupParameters_EC<EC>::GetAlgorithmID()
const
00564
{
00565
return ASN1::id_ecPublicKey();
00566 }
00567
00568
00569
00570
template <
class EC>
00571
void DL_PublicKey_EC<EC>::BERDecodeKey2(
BufferedTransformation &bt,
bool parametersPresent,
unsigned int size)
00572 {
00573
typename EC::Point P;
00574
if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00575 BERDecodeError();
00576 SetPublicElement(P);
00577 }
00578
00579
template <
class EC>
00580 void DL_PublicKey_EC<EC>::DEREncodeKey(
BufferedTransformation &bt)
const
00581
{
00582 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
00583 }
00584
00585
00586
00587
template <
class EC>
00588
void DL_PrivateKey_EC<EC>::BERDecodeKey2(
BufferedTransformation &bt,
bool parametersPresent,
unsigned int size)
00589 {
00590
BERSequenceDecoder seq(bt);
00591 word32 version;
00592 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00593
00594
BERGeneralDecoder dec(seq, OCTET_STRING);
00595
if (!dec.IsDefiniteLength())
00596 BERDecodeError();
00597
Integer x;
00598 x.Decode(dec, dec.RemainingLength());
00599 dec.MessageEnd();
00600
if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00601 BERDecodeError();
00602
if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00603 {
00604
BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00605 this->AccessGroupParameters().BERDecode(parameters);
00606 parameters.MessageEnd();
00607 }
00608
if (!seq.EndReached())
00609 {
00610
00611
SecByteBlock subjectPublicKey;
00612
unsigned int unusedBits;
00613
BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00614 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00615 publicKey.MessageEnd();
00616 Element Q;
00617
if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
00618 BERDecodeError();
00619 }
00620 seq.MessageEnd();
00621
00622 this->SetPrivateExponent(x);
00623 }
00624
00625
template <
class EC>
00626 void DL_PrivateKey_EC<EC>::DEREncodeKey(
BufferedTransformation &bt)
const
00627
{
00628
DERSequenceEncoder privateKey(bt);
00629 DEREncodeUnsigned<word32>(privateKey, 1);
00630
00631
00632 this->GetPrivateExponent().
DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
00633 privateKey.MessageEnd();
00634 }
00635
00636 NAMESPACE_END
00637
00638
#endif