Crypto++: eccrypto.cpp Source File

00001 // eccrypto.cpp - written and placed in the public domain by Wei Dai
00002 
00003 #include "pch.h"
00004 
00005 // prevent Sun's CC compiler from including this file automatically
00006 #if !defined(__SUNPRO_CC) || defined(CRYPTOPP_MANUALLY_INSTANTIATE_TEMPLATES)
00007 
00008 #ifndef CRYPTOPP_IMPORTS
00009 
00010 #include "eccrypto.h"
00011 #include "nbtheory.h"
00012 #include "oids.h"
00013 #include "hex.h"
00014 #include "argnames.h"
00015 #include "ec2n.h"
00016 
00017 NAMESPACE_BEGIN(CryptoPP)
00018 
00019 #if 0
00020 static void ECDSA_TestInstantiations()
00021 {
00022         ECDSA<EC2N>::Signer t1;
00023         ECDSA<EC2N>::Verifier t2(t1);
00024         ECNR<ECP>::Signer t3;
00025         ECNR<ECP>::Verifier t4(t3);
00026         ECIES<ECP>::Encryptor t5;
00027         ECIES<EC2N>::Decryptor t6;
00028         ECDH<ECP>::Domain t7;
00029         ECMQV<ECP>::Domain t8;
00030 }
00031 #endif
00032 
00033 // VC60 workaround: complains when these functions are put into an anonymous namespace
00034 static Integer ConvertToInteger(const PolynomialMod2 &x)
00035 {
00036         unsigned int l = x.ByteCount();
00037         SecByteBlock temp(l);
00038         x.Encode(temp, l);
00039         return Integer(temp, l);
00040 }
00041 
00042 static inline Integer ConvertToInteger(const Integer &x)
00043 {
00044         return x;
00045 }
00046 
00047 static bool CheckMOVCondition(const Integer &q, const Integer &r)
00048 {
00049         Integer t=1;
00050         unsigned int n=q.BitCount(), m=r.BitCount();
00051 
00052         for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00053         {
00054                 t = (t*q)%r;
00055                 if (t == 1)
00056                         return false;
00057         }
00058         return true;
00059 }
00060 
00061 // ******************************************************************
00062 
00063 template <class T> struct EcRecommendedParameters;
00064 
00065 template<> struct EcRecommendedParameters<EC2N>
00066 {
00067         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)
00068                 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00069         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)
00070                 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00071         EC2N *NewEC() const
00072         {
00073                 StringSource ssA(a, true, new HexDecoder);
00074                 StringSource ssB(b, true, new HexDecoder);
00075                 if (t0 == 0)
00076                         return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00077                 else
00078                         return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00079         };
00080 
00081         OID oid;
00082         unsigned int t0, t1, t2, t3, t4;
00083         const char *a, *b, *g, *n;
00084         unsigned int h;
00085 };
00086 
00087 template<> struct EcRecommendedParameters<ECP>
00088 {
00089         EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
00090                 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00091         ECP *NewEC() const
00092         {
00093                 StringSource ssP(p, true, new HexDecoder);
00094                 StringSource ssA(a, true, new HexDecoder);
00095                 StringSource ssB(b, true, new HexDecoder);
00096                 return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00097         };
00098 
00099         OID oid;
00100         const char *p;
00101         const char *a, *b, *g, *n;
00102         unsigned int h;
00103 };
00104 
00105 struct OIDLessThan
00106 {
00107         template <typename T>
00108         inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
00109         template <typename T>
00110         inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
00111         template <typename T>
00112         inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
00113 };
00114 
00115 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
00116 {
00117         // this array must be sorted by OID
00118         static const EcRecommendedParameters<EC2N> rec[] = {
00119                 EcRecommendedParameters<EC2N>(ASN1::sect163k1(), 
00120                         163, 7, 6, 3, 0,
00121                         "000000000000000000000000000000000000000001",
00122                         "000000000000000000000000000000000000000001",
00123                         "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00124                         "04000000000000000000020108A2E0CC0D99F8A5EF",
00125                         2),
00126                 EcRecommendedParameters<EC2N>(ASN1::sect163r1(), 
00127                         163, 7, 6, 3, 0,
00128                         "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00129                         "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00130                         "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00131                         "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00132                         2),
00133                 EcRecommendedParameters<EC2N>(ASN1::sect239k1(), 
00134                         239, 158, 0,
00135                         "000000000000000000000000000000000000000000000000000000000000",
00136                         "000000000000000000000000000000000000000000000000000000000001",
00137                         "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00138                         "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00139                         4),
00140                 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00141                         113, 9, 0,
00142                         "003088250CA6E7C7FE649CE85820F7",
00143                         "00E8BEE4D3E2260744188BE0E9C723",
00144                         "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00145                         "0100000000000000D9CCEC8A39E56F",
00146                         2),
00147                 EcRecommendedParameters<EC2N>(ASN1::sect113r2(), 
00148                         113, 9, 0,
00149                         "00689918DBEC7E5A0DD6DFC0AA55C7",
00150                         "0095E9A9EC9B297BD4BF36E059184F",
00151                         "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00152                         "010000000000000108789B2496AF93",
00153                         2),
00154                 EcRecommendedParameters<EC2N>(ASN1::sect163r2(), 
00155                         163, 7, 6, 3, 0,
00156                         "000000000000000000000000000000000000000001",
00157                         "020A601907B8C953CA1481EB10512F78744A3205FD",
00158                         "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00159                         "040000000000000000000292FE77E70C12A4234C33",
00160                         2),
00161                 EcRecommendedParameters<EC2N>(ASN1::sect283k1(), 
00162                         283, 12, 7, 5, 0,
00163                         "000000000000000000000000000000000000000000000000000000000000000000000000",
00164                         "000000000000000000000000000000000000000000000000000000000000000000000001",
00165                         "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00166                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00167                         4),
00168                 EcRecommendedParameters<EC2N>(ASN1::sect283r1(), 
00169                         283, 12, 7, 5, 0,
00170                         "000000000000000000000000000000000000000000000000000000000000000000000001",
00171                         "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00172                         "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00173                         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00174                         2),
00175                 EcRecommendedParameters<EC2N>(ASN1::sect131r1(), 
00176                         131, 8, 3, 2, 0,
00177                         "07A11B09A76B562144418FF3FF8C2570B8",
00178                         "0217C05610884B63B9C6C7291678F9D341",
00179                         "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00180                         "0400000000000000023123953A9464B54D",
00181                         2),
00182                 EcRecommendedParameters<EC2N>(ASN1::sect131r2(), 
00183                         131, 8, 3, 2, 0,
00184                         "03E5A88919D7CAFCBF415F07C2176573B2",
00185                         "04B8266A46C55657AC734CE38F018F2192",
00186                         "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00187                         "0400000000000000016954A233049BA98F",
00188                         2),
00189                 EcRecommendedParameters<EC2N>(ASN1::sect193r1(), 
00190                         193, 15, 0,
00191                         "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00192                         "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00193                         "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00194                         "01000000000000000000000000C7F34A778F443ACC920EBA49",
00195                         2),
00196                 EcRecommendedParameters<EC2N>(ASN1::sect193r2(), 
00197                         193, 15, 0,
00198                         "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00199                         "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00200                         "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00201                         "010000000000000000000000015AAB561B005413CCD4EE99D5",
00202                         2),
00203                 EcRecommendedParameters<EC2N>(ASN1::sect233k1(), 
00204                         233, 74, 0,
00205                         "000000000000000000000000000000000000000000000000000000000000",
00206                         "000000000000000000000000000000000000000000000000000000000001",
00207                         "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00208                         "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00209                         4),
00210                 EcRecommendedParameters<EC2N>(ASN1::sect233r1(), 
00211                         233, 74, 0,
00212                         "000000000000000000000000000000000000000000000000000000000001",
00213                         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00214                         "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00215                         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00216                         2),
00217                 EcRecommendedParameters<EC2N>(ASN1::sect409k1(), 
00218                         409, 87, 0,
00219                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00220                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00221                         "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00222                         "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00223                         4),
00224                 EcRecommendedParameters<EC2N>(ASN1::sect409r1(), 
00225                         409, 87, 0,
00226                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00227                         "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00228                         "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00229                         "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00230                         2),
00231                 EcRecommendedParameters<EC2N>(ASN1::sect571k1(), 
00232                         571, 10, 5, 2, 0,
00233                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00234                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00235                         "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00236                         "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00237                         4),
00238                 EcRecommendedParameters<EC2N>(ASN1::sect571r1(), 
00239                         571, 10, 5, 2, 0,
00240                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00241                         "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00242                         "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00243                         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00244                         2),
00245         };
00246         begin = rec;
00247         end = rec + sizeof(rec)/sizeof(rec[0]);
00248 }
00249 
00250 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
00251 {
00252         // this array must be sorted by OID
00253         static const EcRecommendedParameters<ECP> rec[] = {
00254                 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00255                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00256                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00257                         "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00258                         "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00259                         "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00260                         1),
00261                 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00262                         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00263                         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00264                         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00265                         "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00266                         "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00267                         1),
00268                 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00269                         "DB7C2ABF62E35E668076BEAD208B",
00270                         "DB7C2ABF62E35E668076BEAD2088",
00271                         "659EF8BA043916EEDE8911702B22",
00272                         "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00273                         "DB7C2ABF62E35E7628DFAC6561C5",
00274                         1),
00275                 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00276                         "DB7C2ABF62E35E668076BEAD208B",
00277                         "6127C24C05F38A0AAAF65C0EF02C",
00278                         "51DEF1815DB5ED74FCC34C85D709",
00279                         "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00280                         "36DF0AAFD8B8D7597CA10520D04B",
00281                         4),
00282                 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00283                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00284                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00285                         "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00286                         "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00287                         "0100000000000000000001F4C8F927AED3CA752257",
00288                         1),
00289                 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00290                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00291                         "0000000000000000000000000000000000000000",
00292                         "0000000000000000000000000000000000000007",
00293                         "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00294                         "0100000000000000000001B8FA16DFAB9ACA16B6B3",
00295                         1),
00296                 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00297                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00298                         "0000000000000000000000000000000000000000000000000000000000000000",
00299                         "0000000000000000000000000000000000000000000000000000000000000007",
00300                         "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00301                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00302                         1),
00303                 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00304                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00305                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00306                         "E87579C11079F43DD824993C2CEE5ED3",
00307                         "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00308                         "FFFFFFFE0000000075A30D1B9038A115",
00309                         1),
00310                 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00311                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00312                         "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00313                         "5EEEFCA380D02919DC2C6558BB6D8A5D",
00314                         "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00315                         "3FFFFFFF7FFFFFFFBE0024720613B5A3",
00316                         4),
00317                 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00318                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00319                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00320                         "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00321                         "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00322                         "0100000000000000000000351EE786A818F3A1A16B",
00323                         1),
00324                 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00325                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00326                         "000000000000000000000000000000000000000000000000",
00327                         "000000000000000000000000000000000000000000000003",
00328                         "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00329                         "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00330                         1),
00331                 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00332                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00333                         "00000000000000000000000000000000000000000000000000000000",
00334                         "00000000000000000000000000000000000000000000000000000005",
00335                         "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00336                         "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00337                         1),
00338                 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00339                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00340                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00341                         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00342                         "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00343                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00344                         1),
00345                 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00346                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00347                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00348                         "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00349                         "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00350                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00351                         1),
00352                 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00353                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00354                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00355                         "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00356                         "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00357                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00358                         1),
00359         };
00360         begin = rec;
00361         end = rec + sizeof(rec)/sizeof(rec[0]);
00362 }
00363 
00364 template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
00365 {
00366         const EcRecommendedParameters<EllipticCurve> *begin, *end;
00367         GetRecommendedParameters(begin, end);
00368         const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00369         return (it == end ? OID() : it->oid);
00370 }
00371 
00372 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
00373 {
00374         const EcRecommendedParameters<EllipticCurve> *begin, *end;
00375         GetRecommendedParameters(begin, end);
00376         const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00377         if (it == end || it->oid != oid)
00378                 throw UnknownOID();
00379 
00380         const EcRecommendedParameters<EllipticCurve> &param = *it;
00381         m_oid = oid;
00382         std::auto_ptr<EllipticCurve> ec(param.NewEC());
00383         this->m_groupPrecomputation.SetCurve(*ec);
00384 
00385         StringSource ssG(param.g, true, new HexDecoder);
00386         Element G;
00387         bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
00388         SetSubgroupGenerator(G);
00389         assert(result);
00390 
00391         StringSource ssN(param.n, true, new HexDecoder);
00392         m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
00393         m_k = param.h;
00394 }
00395 
00396 template <class EC>
00397 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
00398 {
00399         if (strcmp(name, Name::GroupOID()) == 0)
00400         {
00401                 if (m_oid.m_values.empty())
00402                         return false;
00403 
00404                 this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
00405                 *reinterpret_cast<OID *>(pValue) = m_oid;
00406                 return true;
00407         }
00408         else
00409                 return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
00410                         CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00411 }
00412 
00413 template <class EC>
00414 void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
00415 {
00416         OID oid;
00417         if (source.GetValue(Name::GroupOID(), oid))
00418                 Initialize(oid);
00419         else
00420         {
00421                 EllipticCurve ec;
00422                 Point G;
00423                 Integer n;
00424 
00425                 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00426                 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00427                 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00428                 Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00429 
00430                 Initialize(ec, G, n, k);
00431         }
00432 }
00433 
00434 template <class EC>
00435 void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
00436 {
00437         try
00438         {
00439                 AssignFrom(alg);
00440         }
00441         catch (InvalidArgument &)
00442         {
00443                 throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00444         }
00445 }
00446 
00447 template <class EC>
00448 void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
00449 {
00450         byte b;
00451         if (!bt.Peek(b))
00452                 BERDecodeError();
00453         if (b == OBJECT_IDENTIFIER)
00454                 Initialize(OID(bt));
00455         else
00456         {
00457                 BERSequenceDecoder seq(bt);
00458                         word32 version;
00459                         BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version
00460                         EllipticCurve ec(seq);
00461                         Point G = ec.BERDecodePoint(seq);
00462                         Integer n(seq);
00463                         Integer k;
00464                         bool cofactorPresent = !seq.EndReached();
00465                         if (cofactorPresent)
00466                                 k.BERDecode(seq);
00467                         else
00468                                 k = Integer::Zero();
00469                 seq.MessageEnd();
00470 
00471                 Initialize(ec, G, n, k);
00472         }
00473 }
00474 
00475 template <class EC>
00476 void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
00477 {
00478         if (m_encodeAsOID && !m_oid.m_values.empty())
00479                 m_oid.DEREncode(bt);
00480         else
00481         {
00482                 DERSequenceEncoder seq(bt);
00483                 DEREncodeUnsigned<word32>(seq, 1);      // version
00484                 GetCurve().DEREncode(seq);
00485                 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
00486                 m_n.DEREncode(seq);
00487                 if (m_k.NotZero())
00488                         m_k.DEREncode(seq);
00489                 seq.MessageEnd();
00490         }
00491 }
00492 
00493 template <class EC>
00494 Integer DL_GroupParameters_EC<EC>::GetCofactor() const
00495 {
00496         if (!m_k)
00497         {
00498                 Integer q = GetCurve().FieldSize();
00499                 Integer qSqrt = q.SquareRoot();
00500                 m_k = (q+2*qSqrt+1)/m_n;
00501         }
00502 
00503         return m_k;
00504 }
00505 
00506 template <class EC>
00507 Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
00508 {
00509         return ConvertToInteger(element.x);
00510 };
00511 
00512 template <class EC>
00513 bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
00514 {
00515         bool pass = GetCurve().ValidateParameters(rng, level);
00516 
00517         Integer q = GetCurve().FieldSize();
00518         pass = pass && m_n!=q;
00519 
00520         if (level >= 2)
00521         {
00522                 Integer qSqrt = q.SquareRoot();
00523                 pass = pass && m_n>4*qSqrt;
00524                 pass = pass && VerifyPrime(rng, m_n, level-2);
00525                 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00526                 pass = pass && CheckMOVCondition(q, m_n);
00527         }
00528 
00529         return pass;
00530 }
00531 
00532 template <class EC>
00533 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
00534 {
00535         bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00536         if (level >= 1)
00537         {
00538                 if (gpc)
00539                         pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
00540         }
00541         if (level >= 2 && pass)
00542         {
00543                 const Integer &q = GetSubgroupOrder();
00544                 Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : ExponentiateElement(g, q);
00545                 pass = pass && IsIdentity(gq);
00546         }
00547         return pass;
00548 }
00549 
00550 template <class EC>
00551 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
00552 {
00553         GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00554 }
00555 
00556 template <class EC>
00557 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
00558 {
00559         return GetCurve().Add(a, b);
00560 }
00561 
00562 template <class EC>
00563 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
00564 {
00565         return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00566 }
00567 
00568 template <class EC>
00569 OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
00570 {
00571         return ASN1::id_ecPublicKey();
00572 }
00573 
00574 // ******************************************************************
00575 
00576 template <class EC>
00577 void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00578 {
00579         typename EC::Point P;
00580         if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00581                 BERDecodeError();
00582         SetPublicElement(P);
00583 }
00584 
00585 template <class EC>
00586 void DL_PublicKey_EC<EC>::DEREncodePublicKey(BufferedTransformation &bt) const
00587 {
00588         this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
00589 }
00590 
00591 // ******************************************************************
00592 
00593 template <class EC>
00594 void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00595 {
00596         BERSequenceDecoder seq(bt);
00597                 word32 version;
00598                 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version
00599 
00600                 BERGeneralDecoder dec(seq, OCTET_STRING);
00601                 if (!dec.IsDefiniteLength())
00602                         BERDecodeError();
00603                 Integer x;
00604                 x.Decode(dec, (size_t)dec.RemainingLength());
00605                 dec.MessageEnd();
00606                 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00607                         BERDecodeError();
00608                 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00609                 {
00610                         BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00611                         this->AccessGroupParameters().BERDecode(parameters);
00612                         parameters.MessageEnd();
00613                 }
00614                 if (!seq.EndReached())
00615                 {
00616                         // skip over the public element
00617                         SecByteBlock subjectPublicKey;
00618                         unsigned int unusedBits;
00619                         BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00620                         BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00621                         publicKey.MessageEnd();
00622                         Element Q;
00623                         if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
00624                                 BERDecodeError();
00625                 }
00626         seq.MessageEnd();
00627 
00628         this->SetPrivateExponent(x);
00629 }
00630 
00631 template <class EC>
00632 void DL_PrivateKey_EC<EC>::DEREncodePrivateKey(BufferedTransformation &bt) const
00633 {
00634         DERSequenceEncoder privateKey(bt);
00635                 DEREncodeUnsigned<word32>(privateKey, 1);       // version
00636                 // SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
00637                 // this will be changed to order of base point in a future version
00638                 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
00639         privateKey.MessageEnd();
00640 }
00641 
00642 NAMESPACE_END
00643 
00644 #endif
00645 
00646 #endif