00001
#include "pch.h"
00002
#include "eccrypto.h"
00003
#include "ec2n.h"
00004
#include "ecp.h"
00005
#include "nbtheory.h"
00006
#include "oids.h"
00007
#include "hex.h"
00008
#include "argnames.h"
00009
00010 NAMESPACE_BEGIN(CryptoPP)
00011
00012 static
void ECDSA_TestInstantiations()
00013 {
00014
ECDSA<EC2N>::Signer t1;
00015
ECDSA<EC2N>::Verifier t2(t1);
00016
ECNR<ECP>::Signer t3;
00017
ECNR<ECP>::Verifier t4(t3);
00018
ECIES<ECP>::Encryptor t5;
00019
ECIES<EC2N>::Decryptor t6;
00020
ECDH<ECP>::Domain t7;
00021
ECMQV<ECP>::Domain t8;
00022 }
00023
00024
00025
static Integer ConvertToInteger(
const PolynomialMod2 &x)
00026 {
00027
unsigned int l = x.ByteCount();
00028
SecByteBlock temp(l);
00029 x.Encode(temp, l);
00030
return Integer(temp, l);
00031 }
00032
00033
static inline Integer ConvertToInteger(
const Integer &x)
00034 {
00035
return x;
00036 }
00037
00038
static bool CheckMOVCondition(
const Integer &q,
const Integer &r)
00039 {
00040
Integer t=1;
00041
unsigned int n=q.
BitCount(), m=r.
BitCount();
00042
00043
for (
unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00044 {
00045 t = (t*q)%r;
00046
if (t == 1)
00047
return false;
00048 }
00049
return true;
00050 }
00051
00052
00053
00054
template <
class T>
struct EcRecommendedParameters;
00055
00056
template<>
struct EcRecommendedParameters<EC2N>
00057 {
00058 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)
00059 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00060 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)
00061 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00062 EC2N *NewEC()
const
00063
{
00064
StringSource ssA(a,
true,
new HexDecoder);
00065
StringSource ssB(b,
true,
new HexDecoder);
00066
if (t0 == 0)
00067
return new EC2N(
GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
00068
else
00069
return new EC2N(
GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
00070 };
00071
00072
OID oid;
00073
unsigned int t0, t1, t2, t3, t4;
00074
const char *a, *b, *g, *n;
00075
unsigned int h;
00076 };
00077
00078
template<>
struct EcRecommendedParameters<ECP>
00079 {
00080 EcRecommendedParameters(
const OID &oid,
const char *p,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
00081 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00082 ECP *NewEC()
const
00083
{
00084
StringSource ssP(p,
true,
new HexDecoder);
00085
StringSource ssA(a,
true,
new HexDecoder);
00086
StringSource ssB(b,
true,
new HexDecoder);
00087
return new ECP(
Integer(ssP, ssP.MaxRetrievable()),
ECP::FieldElement(ssA, ssA.MaxRetrievable()),
ECP::FieldElement(ssB, ssB.MaxRetrievable()));
00088 };
00089
00090
OID oid;
00091
const char *p;
00092
const char *a, *b, *g, *n;
00093
unsigned int h;
00094 };
00095
00096
struct OIDLessThan
00097 {
00098
template <
typename T>
00099
inline bool operator()(
const EcRecommendedParameters<T>& a,
const OID& b) {
return a.oid < b;}
00100
template <
typename T>
00101
inline bool operator()(
const OID& a,
const EcRecommendedParameters<T>& b) {
return a < b.oid;}
00102 };
00103
00104
static void GetRecommendedParameters(
const EcRecommendedParameters<EC2N> *&begin,
const EcRecommendedParameters<EC2N> *&end)
00105 {
00106
00107
static const EcRecommendedParameters<EC2N> rec[] = {
00108 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
00109 163, 7, 6, 3, 0,
00110
"000000000000000000000000000000000000000001",
00111
"000000000000000000000000000000000000000001",
00112
"0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00113
"04000000000000000000020108A2E0CC0D99F8A5EF",
00114 2),
00115 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
00116 163, 7, 6, 3, 0,
00117
"07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00118
"0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00119
"040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00120
"03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00121 2),
00122 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
00123 239, 158, 0,
00124
"000000000000000000000000000000000000000000000000000000000000",
00125
"000000000000000000000000000000000000000000000000000000000001",
00126
"0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00127
"2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00128 4),
00129 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00130 113, 9, 0,
00131
"003088250CA6E7C7FE649CE85820F7",
00132
"00E8BEE4D3E2260744188BE0E9C723",
00133
"04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00134
"0100000000000000D9CCEC8A39E56F",
00135 2),
00136 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
00137 113, 9, 0,
00138
"00689918DBEC7E5A0DD6DFC0AA55C7",
00139
"0095E9A9EC9B297BD4BF36E059184F",
00140
"0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00141
"010000000000000108789B2496AF93",
00142 2),
00143 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
00144 163, 7, 6, 3, 0,
00145
"000000000000000000000000000000000000000001",
00146
"020A601907B8C953CA1481EB10512F78744A3205FD",
00147
"0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00148
"040000000000000000000292FE77E70C12A4234C33",
00149 2),
00150 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
00151 283, 12, 7, 5, 0,
00152
"000000000000000000000000000000000000000000000000000000000000000000000000",
00153
"000000000000000000000000000000000000000000000000000000000000000000000001",
00154
"040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00155
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00156 4),
00157 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
00158 283, 12, 7, 5, 0,
00159
"000000000000000000000000000000000000000000000000000000000000000000000001",
00160
"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00161
"0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00162
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00163 2),
00164 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
00165 131, 8, 3, 2, 0,
00166
"07A11B09A76B562144418FF3FF8C2570B8",
00167
"0217C05610884B63B9C6C7291678F9D341",
00168
"040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00169
"0400000000000000023123953A9464B54D",
00170 2),
00171 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
00172 131, 8, 3, 2, 0,
00173
"03E5A88919D7CAFCBF415F07C2176573B2",
00174
"04B8266A46C55657AC734CE38F018F2192",
00175
"040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00176
"0400000000000000016954A233049BA98F",
00177 2),
00178 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
00179 193, 15, 0,
00180
"0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00181
"00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00182
"0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00183
"01000000000000000000000000C7F34A778F443ACC920EBA49",
00184 2),
00185 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
00186 193, 15, 0,
00187
"0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00188
"00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00189
"0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00190
"010000000000000000000000015AAB561B005413CCD4EE99D5",
00191 2),
00192 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
00193 233, 74, 0,
00194
"000000000000000000000000000000000000000000000000000000000000",
00195
"000000000000000000000000000000000000000000000000000000000001",
00196
"04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00197
"8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00198 4),
00199 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
00200 233, 74, 0,
00201
"000000000000000000000000000000000000000000000000000000000001",
00202
"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00203
"0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00204
"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00205 2),
00206 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
00207 409, 87, 0,
00208
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00209
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00210
"040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00211
"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00212 4),
00213 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
00214 409, 87, 0,
00215
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00216
"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00217
"04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00218
"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00219 2),
00220 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
00221 571, 10, 5, 2, 0,
00222
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00223
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00224
"04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00225
"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00226 4),
00227 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
00228 571, 10, 5, 2, 0,
00229
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00230
"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00231
"040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00232
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00233 2),
00234 };
00235 begin = rec;
00236 end = rec +
sizeof(rec)/
sizeof(rec[0]);
00237 }
00238
00239
static void GetRecommendedParameters(
const EcRecommendedParameters<ECP> *&begin,
const EcRecommendedParameters<ECP> *&end)
00240 {
00241
00242
static const EcRecommendedParameters<ECP> rec[] = {
00243 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00244
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00245
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00246
"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00247
"04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00248
"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00249 1),
00250 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00251
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00252
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00253
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00254
"046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00255
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00256 1),
00257 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00258
"DB7C2ABF62E35E668076BEAD208B",
00259
"DB7C2ABF62E35E668076BEAD2088",
00260
"659EF8BA043916EEDE8911702B22",
00261
"0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00262
"DB7C2ABF62E35E7628DFAC6561C5",
00263 1),
00264 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00265
"DB7C2ABF62E35E668076BEAD208B",
00266
"6127C24C05F38A0AAAF65C0EF02C",
00267
"51DEF1815DB5ED74FCC34C85D709",
00268
"044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00269
"36DF0AAFD8B8D7597CA10520D04B",
00270 4),
00271 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00272
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00273
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00274
"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00275
"044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00276
"0100000000000000000001F4C8F927AED3CA752257",
00277 1),
00278 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00279
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00280
"0000000000000000000000000000000000000000",
00281
"0000000000000000000000000000000000000007",
00282
"043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00283
"0100000000000000000001B8FA16DFAB9ACA16B6B3",
00284 1),
00285 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00286
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00287
"0000000000000000000000000000000000000000000000000000000000000000",
00288
"0000000000000000000000000000000000000000000000000000000000000007",
00289
"0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00290
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00291 1),
00292 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00293
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00294
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00295
"E87579C11079F43DD824993C2CEE5ED3",
00296
"04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00297
"FFFFFFFE0000000075A30D1B9038A115",
00298 1),
00299 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00300
"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00301
"D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00302
"5EEEFCA380D02919DC2C6558BB6D8A5D",
00303
"047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00304
"3FFFFFFF7FFFFFFFBE0024720613B5A3",
00305 4),
00306 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00307
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00308
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00309
"B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00310
"0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00311
"0100000000000000000000351EE786A818F3A1A16B",
00312 1),
00313 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00314
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00315
"000000000000000000000000000000000000000000000000",
00316
"000000000000000000000000000000000000000000000003",
00317
"04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00318
"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00319 1),
00320 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00321
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00322
"00000000000000000000000000000000000000000000000000000000",
00323
"00000000000000000000000000000000000000000000000000000005",
00324
"04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00325
"010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00326 1),
00327 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00328
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00329
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00330
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00331
"04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00332
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00333 1),
00334 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00335
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00336
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00337
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00338
"04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00339
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00340 1),
00341 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00342
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00343
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00344
"0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00345
"0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00346
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00347 1),
00348 };
00349 begin = rec;
00350 end = rec +
sizeof(rec)/
sizeof(rec[0]);
00351 }
00352
00353
template <
class EC>
OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(
const OID &oid)
00354 {
00355
const EcRecommendedParameters<EllipticCurve> *begin, *end;
00356 GetRecommendedParameters(begin, end);
00357
const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00358
return (it == end ?
OID() : it->oid);
00359 }
00360
00361
template <
class EC>
void DL_GroupParameters_EC<EC>::Initialize(
const OID &oid)
00362 {
00363
const EcRecommendedParameters<EllipticCurve> *begin, *end;
00364 GetRecommendedParameters(begin, end);
00365
const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00366
if (it == end || it->oid != oid)
00367
throw UnknownOID();
00368
00369
const EcRecommendedParameters<EllipticCurve> ¶m = *it;
00370 m_oid = oid;
00371 std::auto_ptr<EllipticCurve> ec(param.NewEC());
00372 m_groupPrecomputation.SetCurve(*ec);
00373
00374
StringSource ssG(param.g,
true,
new HexDecoder);
00375 Element G;
00376
bool result = GetCurve().DecodePoint(G, ssG, ssG.MaxRetrievable());
00377 SetSubgroupGenerator(G);
00378 assert(result);
00379
00380
StringSource ssN(param.n,
true,
new HexDecoder);
00381 m_n.Decode(ssN, ssN.MaxRetrievable());
00382 m_k = param.h;
00383 }
00384
00385
template <
class EC>
00386 bool DL_GroupParameters_EC<EC>::GetVoidValue(
const char *name,
const std::type_info &valueType,
void *pValue)
const
00387
{
00388
if (strcmp(name, Name::GroupOID()) == 0)
00389 {
00390
if (m_oid.
m_values.empty())
00391
return false;
00392
00393 ThrowIfTypeMismatch(name,
typeid(OID), valueType);
00394 *reinterpret_cast<OID *>(pValue) = m_oid;
00395
return true;
00396 }
00397
else
00398
return GetValueHelper<DL_GroupParameters<Element> >(
this, name, valueType, pValue).Assignable()
00399 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00400 }
00401
00402
template <
class EC>
00403 void DL_GroupParameters_EC<EC>::AssignFrom(
const NameValuePairs &source)
00404 {
00405 OID oid;
00406
if (source.
GetValue(Name::GroupOID(), oid))
00407 Initialize(oid);
00408
else
00409 {
00410 EllipticCurve ec;
00411 Point G;
00412
Integer n;
00413
00414 source.
GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00415 source.
GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00416 source.
GetRequiredParameter(
"DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00417
Integer k = source.
GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00418
00419 Initialize(ec, G, n, k);
00420 }
00421 }
00422
00423
template <
class EC>
00424 void DL_GroupParameters_EC<EC>::GenerateRandom(
RandomNumberGenerator &rng,
const NameValuePairs &alg)
00425 {
00426
try
00427 {
00428
AssignFrom(alg);
00429 }
00430
catch (
InvalidArgument &)
00431 {
00432
throw NotImplemented(
"DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00433 }
00434 }
00435
00436
template <
class EC>
00437
void DL_GroupParameters_EC<EC>::BERDecode(
BufferedTransformation &bt)
00438 {
00439 byte b;
00440
if (!bt.
Peek(b))
00441 BERDecodeError();
00442
if (b == OBJECT_IDENTIFIER)
00443 Initialize(OID(bt));
00444
else
00445 {
00446
BERSequenceDecoder seq(bt);
00447 word32 version;
00448 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00449 EllipticCurve ec(seq);
00450 Point G = ec.BERDecodePoint(seq);
00451
Integer n(seq);
00452
Integer k;
00453
bool cofactorPresent = !seq.EndReached();
00454
if (cofactorPresent)
00455 k.
BERDecode(seq);
00456
else
00457 k =
Integer::Zero();
00458 seq.MessageEnd();
00459
00460 Initialize(ec, G, n, k);
00461 }
00462 }
00463
00464
template <
class EC>
00465
void DL_GroupParameters_EC<EC>::DEREncode(
BufferedTransformation &bt)
const
00466
{
00467
if (m_encodeAsOID && !m_oid.
m_values.empty())
00468 m_oid.
DEREncode(bt);
00469
else
00470 {
00471
DERSequenceEncoder seq(bt);
00472 DEREncodeUnsigned<word32>(seq, 1);
00473 GetCurve().DEREncode(seq);
00474 GetCurve().DEREncodePoint(seq, GetSubgroupGenerator(), m_compress);
00475 m_n.
DEREncode(seq);
00476
if (m_k.
NotZero())
00477 m_k.
DEREncode(seq);
00478 seq.MessageEnd();
00479 }
00480 }
00481
00482
template <
class EC>
00483
Integer DL_GroupParameters_EC<EC>::GetCofactor()
const
00484
{
00485
if (!m_k)
00486 {
00487
Integer q = GetCurve().FieldSize();
00488
Integer qSqrt = q.
SquareRoot();
00489 m_k = (q+2*qSqrt+1)/m_n;
00490 }
00491
00492
return m_k;
00493 }
00494
00495
template <
class EC>
00496
Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(
const Element &element)
const
00497
{
00498
return ConvertToInteger(element.x);
00499 };
00500
00501
template <
class EC>
00502
bool DL_GroupParameters_EC<EC>::ValidateGroup(
RandomNumberGenerator &rng,
unsigned int level)
const
00503
{
00504
bool pass = GetCurve().ValidateParameters(rng, level);
00505
00506
Integer q = GetCurve().FieldSize();
00507 pass = pass && m_n!=q;
00508
00509
if (level >= 2)
00510 {
00511
Integer qSqrt = q.
SquareRoot();
00512 pass = pass && m_n>4*qSqrt;
00513 pass = pass && VerifyPrime(rng, m_n, level-2);
00514 pass = pass && (m_k.
IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00515 pass = pass && CheckMOVCondition(q, m_n);
00516 }
00517
00518
return pass;
00519 }
00520
00521
template <
class EC>
00522
bool DL_GroupParameters_EC<EC>::ValidateElement(
unsigned int level,
const Element &g,
const DL_FixedBasePrecomputation<Element> *gpc)
const
00523
{
00524
bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00525
if (level >= 1)
00526 {
00527
if (gpc)
00528 pass = pass && gpc->Exponentiate(GetGroupPrecomputation(), Integer::One()) == g;
00529 }
00530
if (level >= 2)
00531 {
00532
const Integer &q = GetSubgroupOrder();
00533 pass = pass && IsIdentity(gpc ? gpc->Exponentiate(GetGroupPrecomputation(), q) : ExponentiateElement(g, q));
00534 }
00535
return pass;
00536 }
00537
00538
template <
class EC>
00539
void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results,
const Element &base,
const Integer *exponents,
unsigned int exponentsCount)
const
00540
{
00541 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00542 }
00543
00544
template <
class EC>
00545 CPP_TYPENAME
DL_GroupParameters_EC<EC>::Element
DL_GroupParameters_EC<EC>::MultiplyElements(
const Element &a,
const Element &b)
const
00546
{
00547
return GetCurve().Add(a, b);
00548 }
00549
00550
template <
class EC>
00551 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
00552
{
00553
return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00554 }
00555
00556
template <
class EC>
00557 OID
DL_GroupParameters_EC<EC>::GetAlgorithmID()
const
00558
{
00559
return ASN1::id_ecPublicKey();
00560 }
00561
00562
00563
00564
template <
class EC>
00565
void DL_PublicKey_EC<EC>::BERDecodeKey2(
BufferedTransformation &bt,
bool parametersPresent,
unsigned int size)
00566 {
00567
typename EC::Point P;
00568
if (!GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00569 BERDecodeError();
00570 SetPublicElement(P);
00571 }
00572
00573
template <
class EC>
00574 void DL_PublicKey_EC<EC>::DEREncodeKey(
BufferedTransformation &bt)
const
00575
{
00576 GetGroupParameters().GetCurve().EncodePoint(bt, GetPublicElement(), GetGroupParameters().GetPointCompression());
00577 }
00578
00579
00580
00581
template <
class EC>
00582
void DL_PrivateKey_EC<EC>::BERDecodeKey2(
BufferedTransformation &bt,
bool parametersPresent,
unsigned int size)
00583 {
00584
BERSequenceDecoder seq(bt);
00585 word32 version;
00586 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00587
00588
BERGeneralDecoder dec(seq, OCTET_STRING);
00589
if (!dec.
IsDefiniteLength())
00590 BERDecodeError();
00591
Integer x;
00592 x.Decode(dec, dec.
RemainingLength());
00593 dec.
MessageEnd();
00594
if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00595 BERDecodeError();
00596
if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00597 {
00598
BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00599 AccessGroupParameters().BERDecode(parameters);
00600 parameters.
MessageEnd();
00601 }
00602
if (!seq.EndReached())
00603 {
00604
00605
SecByteBlock subjectPublicKey;
00606
unsigned int unusedBits;
00607
BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00608 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00609 publicKey.
MessageEnd();
00610 Element Q;
00611
if (!(unusedBits == 0 && GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
00612 BERDecodeError();
00613 }
00614 seq.MessageEnd();
00615
00616 SetPrivateExponent(x);
00617 }
00618
00619
template <
class EC>
00620 void DL_PrivateKey_EC<EC>::DEREncodeKey(
BufferedTransformation &bt)
const
00621
{
00622
DERSequenceEncoder privateKey(bt);
00623 DEREncodeUnsigned<word32>(privateKey, 1);
00624
00625
00626 GetPrivateExponent().
DEREncodeAsOctetString(privateKey, GetGroupParameters().GetSubgroupOrder().ByteCount());
00627 privateKey.MessageEnd();
00628 }
00629
00630
00631
00632
template class DL_GroupParameters_EC<EC2N>;
00633
template class DL_GroupParameters_EC<ECP>;
00634
template class DL_PublicKey_EC<EC2N>;
00635
template class DL_PublicKey_EC<ECP>;
00636
template class DL_PrivateKey_EC<EC2N>;
00637
template class DL_PrivateKey_EC<ECP>;
00638
00639 NAMESPACE_END