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eccrypto.cpp

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 
00009 NAMESPACE_BEGIN(CryptoPP)
00010 
00011 // VC60 workaround: complains when these functions are put into an anonymous namespace
00012 static Integer ConvertToInteger(const PolynomialMod2 &x)
00013 {
00014         unsigned int l = x.ByteCount();
00015         SecByteBlock temp(l);
00016         x.Encode(temp, l);
00017         return Integer(temp, l);
00018 }
00019 
00020 static inline Integer ConvertToInteger(const Integer &x)
00021 {
00022         return x;
00023 }
00024 
00025 static bool CheckMOVCondition(const Integer &q, const Integer &r)
00026 {
00027         Integer t=1;
00028         unsigned int n=q.BitCount(), m=r.BitCount();
00029 
00030         for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00031         {
00032                 t = (t*q)%r;
00033                 if (t == 1)
00034                         return false;
00035         }
00036         return true;
00037 }
00038 
00039 // ******************************************************************
00040 
00041 template <class T> struct EcRecommendedParameters;
00042 
00044 template<> struct EcRecommendedParameters<EC2N>
00045 {
00046         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)
00047                 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00048         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)
00049                 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00050         bool operator<(const OID &rhs) const {return oid < rhs;}
00051         EC2N *NewEC() const
00052         {
00053                 StringSource ssA(a, true, new HexDecoder);
00054                 StringSource ssB(b, true, new HexDecoder);
00055                 if (t0 == 0)
00056                         return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrieveable()), EC2N::FieldElement(ssB, ssB.MaxRetrieveable()));
00057                 else
00058                         return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrieveable()), EC2N::FieldElement(ssB, ssB.MaxRetrieveable()));
00059         };
00060 
00061         OID oid;
00062         unsigned int t0, t1, t2, t3, t4;
00063         const char *a, *b, *g, *n;
00064         unsigned int h;
00065 };
00066 
00068 template<> struct EcRecommendedParameters<ECP>
00069 {
00070         EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
00071                 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00072         inline bool operator<(const OID &rhs) const {return oid < rhs;}
00073         ECP *NewEC() const
00074         {
00075                 StringSource ssP(p, true, new HexDecoder);
00076                 StringSource ssA(a, true, new HexDecoder);
00077                 StringSource ssB(b, true, new HexDecoder);
00078                 return new ECP(Integer(ssP, ssP.MaxRetrieveable()), ECP::FieldElement(ssA, ssA.MaxRetrieveable()), ECP::FieldElement(ssB, ssB.MaxRetrieveable()));
00079         };
00080 
00081         OID oid;
00082         const char *p;
00083         const char *a, *b, *g, *n;
00084         unsigned int h;
00085 };
00086 
00087 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
00088 {
00089         // this array must be sorted by OID
00090         static const EcRecommendedParameters<EC2N> rec[] = {
00091                 EcRecommendedParameters<EC2N>(ASN1::sect163k1(), 
00092                         163, 7, 6, 3, 0,
00093                         "000000000000000000000000000000000000000001",
00094                         "000000000000000000000000000000000000000001",
00095                         "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00096                         "04000000000000000000020108A2E0CC0D99F8A5EF",
00097                         2),
00098                 EcRecommendedParameters<EC2N>(ASN1::sect163r1(), 
00099                         163, 7, 6, 3, 0,
00100                         "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00101                         "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00102                         "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00103                         "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00104                         2),
00105                 EcRecommendedParameters<EC2N>(ASN1::sect239k1(), 
00106                         239, 158, 0,
00107                         "000000000000000000000000000000000000000000000000000000000000",
00108                         "000000000000000000000000000000000000000000000000000000000001",
00109                         "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00110                         "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00111                         4),
00112                 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00113                         113, 9, 0,
00114                         "003088250CA6E7C7FE649CE85820F7",
00115                         "00E8BEE4D3E2260744188BE0E9C723",
00116                         "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00117                         "0100000000000000D9CCEC8A39E56F",
00118                         2),
00119                 EcRecommendedParameters<EC2N>(ASN1::sect113r2(), 
00120                         113, 9, 0,
00121                         "00689918DBEC7E5A0DD6DFC0AA55C7",
00122                         "0095E9A9EC9B297BD4BF36E059184F",
00123                         "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00124                         "010000000000000108789B2496AF93",
00125                         2),
00126                 EcRecommendedParameters<EC2N>(ASN1::sect163r2(), 
00127                         163, 7, 6, 3, 0,
00128                         "000000000000000000000000000000000000000001",
00129                         "020A601907B8C953CA1481EB10512F78744A3205FD",
00130                         "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00131                         "040000000000000000000292FE77E70C12A4234C33",
00132                         2),
00133                 EcRecommendedParameters<EC2N>(ASN1::sect283k1(), 
00134                         283, 12, 7, 5, 0,
00135                         "000000000000000000000000000000000000000000000000000000000000000000000000",
00136                         "000000000000000000000000000000000000000000000000000000000000000000000001",
00137                         "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00138                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00139                         4),
00140                 EcRecommendedParameters<EC2N>(ASN1::sect283r1(), 
00141                         283, 12, 7, 5, 0,
00142                         "000000000000000000000000000000000000000000000000000000000000000000000001",
00143                         "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00144                         "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00145                         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00146                         2),
00147                 EcRecommendedParameters<EC2N>(ASN1::sect131r1(), 
00148                         131, 8, 3, 2, 0,
00149                         "07A11B09A76B562144418FF3FF8C2570B8",
00150                         "0217C05610884B63B9C6C7291678F9D341",
00151                         "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00152                         "0400000000000000023123953A9464B54D",
00153                         2),
00154                 EcRecommendedParameters<EC2N>(ASN1::sect131r2(), 
00155                         131, 8, 3, 2, 0,
00156                         "03E5A88919D7CAFCBF415F07C2176573B2",
00157                         "04B8266A46C55657AC734CE38F018F2192",
00158                         "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00159                         "0400000000000000016954A233049BA98F",
00160                         2),
00161                 EcRecommendedParameters<EC2N>(ASN1::sect193r1(), 
00162                         193, 15, 0,
00163                         "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00164                         "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00165                         "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00166                         "01000000000000000000000000C7F34A778F443ACC920EBA49",
00167                         2),
00168                 EcRecommendedParameters<EC2N>(ASN1::sect193r2(), 
00169                         193, 15, 0,
00170                         "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00171                         "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00172                         "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00173                         "010000000000000000000000015AAB561B005413CCD4EE99D5",
00174                         2),
00175                 EcRecommendedParameters<EC2N>(ASN1::sect233k1(), 
00176                         233, 74, 0,
00177                         "000000000000000000000000000000000000000000000000000000000000",
00178                         "000000000000000000000000000000000000000000000000000000000001",
00179                         "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00180                         "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00181                         4),
00182                 EcRecommendedParameters<EC2N>(ASN1::sect233r1(), 
00183                         233, 74, 0,
00184                         "000000000000000000000000000000000000000000000000000000000001",
00185                         "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00186                         "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00187                         "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00188                         2),
00189                 EcRecommendedParameters<EC2N>(ASN1::sect409k1(), 
00190                         409, 87, 0,
00191                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00192                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00193                         "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00194                         "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00195                         4),
00196                 EcRecommendedParameters<EC2N>(ASN1::sect409r1(), 
00197                         409, 87, 0,
00198                         "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00199                         "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00200                         "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00201                         "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00202                         2),
00203                 EcRecommendedParameters<EC2N>(ASN1::sect571k1(), 
00204                         571, 10, 5, 2, 0,
00205                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00206                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00207                         "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00208                         "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00209                         4),
00210                 EcRecommendedParameters<EC2N>(ASN1::sect571r1(), 
00211                         571, 10, 5, 2, 0,
00212                         "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00213                         "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00214                         "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00215                         "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00216                         2),
00217         };
00218         begin = rec;
00219         end = rec + sizeof(rec)/sizeof(rec[0]);
00220 }
00221 
00222 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
00223 {
00224         // this array must be sorted by OID
00225         static const EcRecommendedParameters<ECP> rec[] = {
00226                 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00227                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00228                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00229                         "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00230                         "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00231                         "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00232                         1),
00233                 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00234                         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00235                         "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00236                         "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00237                         "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00238                         "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00239                         1),
00240                 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00241                         "DB7C2ABF62E35E668076BEAD208B",
00242                         "DB7C2ABF62E35E668076BEAD2088",
00243                         "659EF8BA043916EEDE8911702B22",
00244                         "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00245                         "DB7C2ABF62E35E7628DFAC6561C5",
00246                         1),
00247                 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00248                         "DB7C2ABF62E35E668076BEAD208B",
00249                         "6127C24C05F38A0AAAF65C0EF02C",
00250                         "51DEF1815DB5ED74FCC34C85D709",
00251                         "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00252                         "36DF0AAFD8B8D7597CA10520D04B",
00253                         4),
00254                 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00255                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00256                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00257                         "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00258                         "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00259                         "0100000000000000000001F4C8F927AED3CA752257",
00260                         1),
00261                 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00262                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00263                         "0000000000000000000000000000000000000000",
00264                         "0000000000000000000000000000000000000007",
00265                         "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00266                         "0100000000000000000001B8FA16DFAB9ACA16B6B3",
00267                         1),
00268                 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00269                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00270                         "0000000000000000000000000000000000000000000000000000000000000000",
00271                         "0000000000000000000000000000000000000000000000000000000000000007",
00272                         "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00273                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00274                         1),
00275                 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00276                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00277                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00278                         "E87579C11079F43DD824993C2CEE5ED3",
00279                         "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00280                         "FFFFFFFE0000000075A30D1B9038A115",
00281                         1),
00282                 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00283                         "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00284                         "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00285                         "5EEEFCA380D02919DC2C6558BB6D8A5D",
00286                         "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00287                         "3FFFFFFF7FFFFFFFBE0024720613B5A3",
00288                         4),
00289                 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00290                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00291                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00292                         "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00293                         "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00294                         "0100000000000000000000351EE786A818F3A1A16B",
00295                         1),
00296                 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00297                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00298                         "000000000000000000000000000000000000000000000000",
00299                         "000000000000000000000000000000000000000000000003",
00300                         "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00301                         "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00302                         1),
00303                 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00304                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00305                         "00000000000000000000000000000000000000000000000000000000",
00306                         "00000000000000000000000000000000000000000000000000000005",
00307                         "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00308                         "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00309                         1),
00310                 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00311                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00312                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00313                         "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00314                         "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00315                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00316                         1),
00317                 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00318                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00319                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00320                         "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00321                         "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00322                         "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00323                         1),
00324                 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00325                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00326                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00327                         "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00328                         "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00329                         "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00330                         1),
00331         };
00332         begin = rec;
00333         end = rec + sizeof(rec)/sizeof(rec[0]);
00334 }
00335 
00336 template <class EC> OID ECParameters<EC>::GetNextRecommendedParametersOID(const OID &oid)
00337 {
00338         const EcRecommendedParameters<EC> *begin, *end;
00339         GetRecommendedParameters(begin, end);
00340         // VC60 workaround: problem with operator< if using upper_bound
00341         const EcRecommendedParameters<EC> *it = std::lower_bound(begin, end, oid);
00342         if (it != end && it->oid == oid)
00343                 ++it;
00344         return (it == end ? OID() : it->oid);
00345 }
00346 
00347 template <class EC> void ECParameters<EC>::LoadRecommendedParameters(const OID &oid)
00348 {
00349         const EcRecommendedParameters<EC> *begin, *end;
00350         GetRecommendedParameters(begin, end);
00351         const EcRecommendedParameters<EC> *it = std::lower_bound(begin, end, oid);
00352         if (it == end || it->oid != oid)
00353                 throw UnknownOID();
00354 
00355         const EcRecommendedParameters<EC> &param = *it;
00356         m_oid = oid;
00357         m_ec.reset(param.NewEC());
00358         StringSource ssG(param.g, true, new HexDecoder);
00359         bool result = m_ec->DecodePoint(m_G, ssG, ssG.MaxRetrieveable());
00360         assert(result);
00361         StringSource ssN(param.n, true, new HexDecoder);
00362         m_n.Decode(ssN, ssN.MaxRetrieveable());
00363         m_cofactorPresent = true;
00364         m_k = param.h;
00365 
00366         m_Gpc.SetCurveAndBase(GetCurve(), m_G);
00367 }
00368 
00369 template <class EC>
00370 void ECParameters<EC>::BERDecode(BufferedTransformation &bt)
00371 {
00372         byte b;
00373         if (!bt.Peek(b))
00374                 BERDecodeError();
00375         if (b == OBJECT_IDENTIFIER)
00376                 LoadRecommendedParameters(OID(bt));
00377         else
00378         {
00379                 BERSequenceDecoder seq(bt);
00380                 m_ec.reset(new EC(seq));
00381                 m_G = m_ec->BERDecodePoint(seq);
00382                 m_n.BERDecode(seq);
00383                 m_cofactorPresent = !seq.EndReached();
00384                 if (m_cofactorPresent)
00385                         m_k.BERDecode(seq);
00386                 seq.MessageEnd();
00387 
00388                 m_Gpc.SetCurveAndBase(GetCurve(), m_G);
00389         }
00390 }
00391 
00392 template <class EC>
00393 void ECParameters<EC>::DEREncode(BufferedTransformation &bt) const
00394 {
00395         if (m_encodeAsOID && !m_oid.m_values.empty())
00396                 m_oid.DEREncode(bt);
00397         else
00398         {
00399                 DERSequenceEncoder seq(bt);
00400                 m_ec->DEREncode(seq);
00401                 m_ec->DEREncodePoint(seq, m_G, m_compress);
00402                 m_n.DEREncode(seq);
00403                 if (m_cofactorPresent)
00404                         m_k.DEREncode(seq);
00405                 seq.MessageEnd();
00406         }
00407 }
00408 
00409 template <class EC>
00410 bool ECParameters<EC>::ValidateParameters(RandomNumberGenerator &rng) const
00411 {
00412         Integer q = m_ec->FieldSize(), qSqrt = q.SquareRoot();
00413 
00414         return m_ec->ValidateParameters(rng) && m_n!=q && m_n>4*qSqrt && VerifyPrime(rng, m_n)
00415                 && m_ec->VerifyPoint(m_G) && !m_G.identity && m_ec->Multiply(m_n, m_G).identity
00416                 && m_k==(q+2*qSqrt+1)/m_n && CheckMOVCondition(q, m_n);
00417 }
00418 
00419 template <class EC>
00420 void ECParameters<EC>::Precompute(unsigned int precomputationStorage)
00421 {
00422         m_Gpc.Precompute(ExponentBitLength(), precomputationStorage);
00423 }
00424 
00425 template <class EC>
00426 void ECParameters<EC>::LoadPrecomputation(BufferedTransformation &bt)
00427 {
00428         m_Gpc.Load(bt);
00429 }
00430 
00431 template <class EC>
00432 void ECParameters<EC>::SavePrecomputation(BufferedTransformation &bt) const
00433 {
00434         m_Gpc.Save(bt);
00435 }
00436 
00437 // ******************************************************************
00438 
00439 template <class EC>
00440 ECPublicKey<EC>::ECPublicKey(BufferedTransformation &bt)
00441 {
00442         BERSequenceDecoder seq(bt);
00443                 BERSequenceDecoder algorithm(seq);
00444                         if (OID(algorithm) != ASN1::id_ecPublicKey())
00445                                 BERDecodeError();
00446                         ECParameters<EC>::BERDecode(algorithm);
00447                 algorithm.MessageEnd();
00448                 SecByteBlock subjectPublicKey;
00449                 unsigned int unusedBits;
00450                 BERDecodeBitString(seq, subjectPublicKey, unusedBits);
00451                 if (!(unusedBits == 0 && m_ec->DecodePoint(m_Q, subjectPublicKey, subjectPublicKey.size)))
00452                         BERDecodeError();
00453         seq.MessageEnd();
00454 
00455         m_Qpc.SetCurveAndBase(GetCurve(), m_Q);
00456 }
00457 
00458 template <class EC>
00459 void ECPublicKey<EC>::DEREncode(BufferedTransformation &bt) const
00460 {
00461         DERSequenceEncoder seq(bt);
00462                 DERSequenceEncoder algorithm(seq);
00463                         ASN1::id_ecPublicKey().DEREncode(algorithm);
00464                         ECParameters<EC>::DEREncode(algorithm);
00465                 algorithm.MessageEnd();
00466 
00467                 SecByteBlock subjectPublicKey(EncodedPointSize());
00468                 EncodePoint(subjectPublicKey, m_Q);
00469                 DEREncodeBitString(seq, subjectPublicKey.ptr, subjectPublicKey.size);
00470         seq.MessageEnd();
00471 }
00472 
00473 template <class EC>
00474 void ECPublicKey<EC>::Precompute(unsigned int precomputationStorage)
00475 {
00476         m_Gpc.Precompute(ExponentBitLength(), precomputationStorage);
00477         m_Qpc.Precompute(ExponentBitLength(), precomputationStorage);
00478 }
00479 
00480 template <class EC>
00481 void ECPublicKey<EC>::LoadPrecomputation(BufferedTransformation &bt)
00482 {
00483         m_Gpc.Load(bt);
00484         m_Qpc.Load(bt);
00485 }
00486 
00487 template <class EC>
00488 void ECPublicKey<EC>::SavePrecomputation(BufferedTransformation &bt) const
00489 {
00490         m_Gpc.Save(bt);
00491         m_Qpc.Save(bt);
00492 }
00493 
00494 template <class EC>
00495 Integer ECPublicKey<EC>::EncodeDigest(ECSignatureScheme ss, const byte *digest, unsigned int digestLen) const
00496 {
00497         if (ss == ECNR)
00498                 return NR_EncodeDigest(m_n.BitCount(), digest, digestLen);
00499         else
00500         {
00501                 assert(ss == ECDSA);
00502                 return DSA_EncodeDigest(m_n.BitCount(), digest, digestLen);
00503         }
00504 }
00505 
00506 // ******************************************************************
00507 
00508 template <class EC>
00509 ECPrivateKey<EC>::ECPrivateKey(BufferedTransformation &bt)
00510 {
00511         BERSequenceDecoder privateKeyInfo(bt);
00512                 word32 version;
00513                 BERDecodeUnsigned<word32>(privateKeyInfo, version, INTEGER, 0, 1);      // check version
00514 
00515                 if (version == 1)
00516                         RawDecode(privateKeyInfo, true);        // for backwards compatibility
00517                 else
00518                 {
00519                         BERSequenceDecoder algorithm(privateKeyInfo);
00520                                 ASN1::id_ecPublicKey().BERDecodeAndCheck(algorithm);
00521                                 bool noParameters = algorithm.PeekByte() == TAG_NULL;
00522                                 if (!noParameters)
00523                                         ECParameters<EC>::BERDecode(algorithm);
00524                         algorithm.MessageEnd();
00525 
00526                         BERGeneralDecoder octetString(privateKeyInfo, OCTET_STRING);
00527                                 BERSequenceDecoder privateKey(octetString);
00528                                         BERDecodeUnsigned<word32>(privateKey, version, INTEGER, 1, 1);  // check version
00529                                         RawDecode(privateKey, noParameters);
00530                                 privateKey.MessageEnd();
00531                         octetString.MessageEnd();
00532                 }
00533         privateKeyInfo.MessageEnd();
00534 
00535         m_Qpc.SetCurveAndBase(GetCurve(), m_Q);
00536 }
00537 
00538 template <class EC>
00539 void ECPrivateKey<EC>::RawDecode(BERSequenceDecoder &seq, bool needParameters)
00540 {
00541         // SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
00542         // but there is some confusion so I'll allow any length
00543         BERGeneralDecoder dec(seq, OCTET_STRING);
00544         if (!dec.IsDefiniteLength())
00545                 BERDecodeError();
00546         m_d.Decode(dec, dec.RemainingLength());
00547         dec.MessageEnd();
00548         if (needParameters && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00549                 BERDecodeError();
00550         if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00551         {
00552                 BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00553                 ECParameters<EC>::BERDecode(parameters);
00554                 parameters.MessageEnd();
00555         }
00556         if (seq.EndReached())
00557                 m_Q = m_Gpc.Multiply(m_d);
00558         {
00559                 SecByteBlock subjectPublicKey;
00560                 unsigned int unusedBits;
00561                 BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00562                 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00563                 publicKey.MessageEnd();
00564                 if (!(unusedBits == 0 && m_ec->DecodePoint(m_Q, subjectPublicKey, subjectPublicKey.size)))
00565                         BERDecodeError();
00566         }
00567 }
00568 
00569 template <class EC>
00570 void ECPrivateKey<EC>::DEREncode(BufferedTransformation &bt) const
00571 {
00572         DERSequenceEncoder privateKeyInfo(bt);
00573                 DEREncodeUnsigned<word32>(privateKeyInfo, 0);   // version
00574 
00575                 DERSequenceEncoder algorithm(privateKeyInfo);
00576                         ASN1::id_ecPublicKey().DEREncode(algorithm);
00577                         ECParameters<EC>::DEREncode(algorithm);
00578                 algorithm.MessageEnd();
00579 
00580                 DERGeneralEncoder octetString(privateKeyInfo, OCTET_STRING);
00581                         DERSequenceEncoder privateKey(octetString);
00582                                 DEREncodeUnsigned<word32>(privateKey, 1);       // version
00583                                 // SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
00584                                 // this will be changed to order of base point in a future version
00585                                 m_d.DEREncodeAsOctetString(privateKey, m_n.ByteCount());
00586 
00587                                 DERGeneralEncoder publicKey(privateKey, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00588                                         SecByteBlock subjectPublicKey(EncodedPointSize());
00589                                         EncodePoint(subjectPublicKey, m_Q);
00590                                         DEREncodeBitString(publicKey, subjectPublicKey.ptr, subjectPublicKey.size);
00591                                 publicKey.MessageEnd();
00592                         privateKey.MessageEnd();
00593                 octetString.MessageEnd();
00594         privateKeyInfo.MessageEnd();
00595 }
00596 
00597 template <class EC>
00598 void ECPrivateKey<EC>::Randomize(RandomNumberGenerator &rng)
00599 {
00600         m_d.Randomize(rng, 1, m_n-1, Integer::ANY);
00601         m_Q = m_Gpc.Multiply(m_d);
00602         m_Qpc.SetCurveAndBase(GetCurve(), m_Q);
00603 }
00604 
00605 // ******************************************************************
00606 
00607 template <class EC, ECSignatureScheme SS>
00608 bool ECDigestVerifier<EC, SS>::RawVerify(const Integer &e, const Integer &r, const Integer &s) const
00609 {
00610         if (SS == ECNR)
00611         {
00612                 if (r>=m_n || r<1 || s>=m_n)
00613                         return false;
00614 
00615                 // check r == ((r*P + s*P).x + e) % m_n
00616                 Integer x = ConvertToInteger(m_Gpc.CascadeMultiply(s, m_Qpc, r).x);
00617                 return r == (x+e) % m_n;
00618         }
00619         else    // ECDSA
00620         {
00621                 if (r>=m_n || r<1 || s>=m_n || s<1)
00622                         return false;
00623 
00624                 Integer w = EuclideanMultiplicativeInverse(s, m_n);
00625                 Integer u1 = (e * w) % m_n;
00626                 Integer u2 = (r * w) % m_n;
00627                 // check r == (u1*P + u2*P).x % n
00628                 return r == ConvertToInteger(m_Gpc.CascadeMultiply(u1, m_Qpc, u2).x) % m_n;
00629         }
00630 }
00631 
00632 template <class EC, ECSignatureScheme SS>
00633 bool ECDigestVerifier<EC, SS>::VerifyDigest(const byte *digest, unsigned int digestLen, const byte *signature) const
00634 {
00635         assert (digestLen <= MaxDigestLength());
00636 
00637         Integer e = EncodeDigest(SS, digest, digestLen);
00638         Integer r(signature, ExponentLength());
00639         Integer s(signature+ExponentLength(), ExponentLength());
00640 
00641         return RawVerify(e, r, s);
00642 }
00643 
00644 // ******************************************************************
00645 
00646 template <class EC, ECSignatureScheme SS>
00647 void ECDigestSigner<EC, SS>::RawSign(const Integer &k, const Integer &e, Integer &r, Integer &s) const
00648 {
00649         if (SS == ECNR)
00650         {
00651                 do
00652                 {
00653                         // convert kP.x into an Integer
00654                         Integer x = ConvertToInteger(m_Gpc.Multiply(k).x);
00655                         r = (x+e) % m_n;
00656                         s = (k-m_d*r) % m_n;
00657                 } while (!r);
00658         }
00659         else
00660         {
00661                 do
00662                 {
00663                         r = ConvertToInteger(m_Gpc.Multiply(k).x) % m_n;
00664                         Integer kInv = EuclideanMultiplicativeInverse(k, m_n);
00665                         s = (kInv * (m_d*r + e)) % m_n;
00666                 } while (!r || !s);
00667         }
00668 }
00669 
00670 template <class EC, ECSignatureScheme SS>
00671 void ECDigestSigner<EC, SS>::SignDigest(RandomNumberGenerator &rng, const byte *digest, unsigned int digestLen, byte *signature) const
00672 {
00673         Integer r, s;
00674         Integer e = EncodeDigest(SS, digest, digestLen);
00675         Integer k(rng, 1, m_n-1, Integer::ANY);
00676 
00677         RawSign(k, e, r, s);
00678 
00679         r.Encode(signature, ExponentLength());
00680         s.Encode(signature+ExponentLength(), ExponentLength());
00681 }
00682 
00683 // ******************************************************************
00684 
00685 template <class EC>
00686 void ECDHC<EC>::GenerateKeyPair(RandomNumberGenerator &rng, byte *privateKey, byte *publicKey) const
00687 {
00688         Integer x(rng, 1, m_n-1);
00689         Point Q = m_Gpc.Multiply(x);
00690         x.Encode(privateKey, PrivateKeyLength());
00691         EncodePoint(publicKey, Q);
00692 }
00693 
00694 template <class EC>
00695 bool ECDHC<EC>::Agree(byte *agreedValue, const byte *privateKey, const byte *otherPublicKey, bool validateOtherPublicKey) const
00696 {
00697         Point W;
00698         if (!GetCurve().DecodePoint(W, otherPublicKey, PublicKeyLength()))
00699                 return false;
00700         if (validateOtherPublicKey && !GetCurve().VerifyPoint(W))
00701                 return false;
00702 
00703         Integer s(privateKey, PrivateKeyLength());
00704         Point Q = GetCurve().Multiply(m_k*s, W);
00705         if (Q.identity)
00706                 return false;
00707         Q.x.Encode(agreedValue, AgreedValueLength());
00708         return true;
00709 }
00710 
00711 // ******************************************************************
00712 
00713 template <class EC>
00714 void ECMQVC<EC>::GenerateStaticKeyPair(RandomNumberGenerator &rng, byte *privateKey, byte *publicKey) const
00715 {
00716         Integer x(rng, 1, m_n-1);
00717         Point Q = m_Gpc.Multiply(x);
00718         x.Encode(privateKey, StaticPrivateKeyLength());
00719         EncodePoint(publicKey, Q);
00720 }
00721 
00722 template <class EC>
00723 void ECMQVC<EC>::GenerateEphemeralKeyPair(RandomNumberGenerator &rng, byte *privateKey, byte *publicKey) const
00724 {
00725         Integer x(rng, 1, m_n-1);
00726         Point Q = m_Gpc.Multiply(x);
00727         x.Encode(privateKey, ExponentLength());
00728         EncodePoint(privateKey+ExponentLength(), Q);
00729         EncodePoint(publicKey, Q);
00730 }
00731 
00732 template <class EC>
00733 bool ECMQVC<EC>::Agree(byte *agreedValue, const byte *staticPrivateKey, const byte *ephemeralPrivateKey, const byte *staticOtherPublicKey, const byte *ephemeralOtherPublicKey, bool validateStaticOtherPublicKey) const
00734 {
00735         Point WW, VV;
00736         if (!(GetCurve().DecodePoint(WW, staticOtherPublicKey, StaticPublicKeyLength())
00737                   && GetCurve().DecodePoint(VV, ephemeralOtherPublicKey, EphemeralPublicKeyLength())))
00738                 return false;
00739         if (!GetCurve().VerifyPoint(VV) || (validateStaticOtherPublicKey && !GetCurve().VerifyPoint(WW)))
00740                 return false;
00741 
00742         Integer s(staticPrivateKey, StaticPrivateKeyLength());
00743         Integer u(ephemeralPrivateKey, ExponentLength());
00744         Point V;
00745         if (!GetCurve().DecodePoint(V, ephemeralPrivateKey+ExponentLength(), EncodedPointSize()))
00746                 return false;
00747 
00748         Integer h2 = Integer::Power2((m_n.BitCount()+1)/2);
00749         Integer e = ((h2+ConvertToInteger(V.x)%h2)*s+u) % m_n;
00750         Point Q = GetCurve().CascadeMultiply(m_k*e, VV, m_k*(e*(h2+ConvertToInteger(VV.x)%h2)%m_n), WW);
00751         if (Q.identity)
00752                 return false;
00753         Q.x.Encode(agreedValue, AgreedValueLength());
00754         return true;
00755 }
00756 
00757 template class ECParameters<EC2N>;
00758 template class ECParameters<ECP>;
00759 template class ECPublicKey<EC2N>;
00760 template class ECPublicKey<ECP>;
00761 template class ECPrivateKey<EC2N>;
00762 template class ECPrivateKey<ECP>;
00763 template class ECDigestVerifier<EC2N, ECDSA>;
00764 template class ECDigestVerifier<ECP, ECDSA>;
00765 template class ECDigestSigner<EC2N, ECDSA>;
00766 template class ECDigestSigner<ECP, ECDSA>;
00767 template class ECDigestVerifier<EC2N, ECNR>;
00768 template class ECDigestVerifier<ECP, ECNR>;
00769 template class ECDigestSigner<EC2N, ECNR>;
00770 template class ECDigestSigner<ECP, ECNR>;
00771 template class ECDHC<EC2N>;
00772 template class ECDHC<ECP>;
00773 template class ECMQVC<EC2N>;
00774 template class ECMQVC<ECP>;
00775 
00776 NAMESPACE_END
Generated at Mon Jan 15 01:16:31 2001 for Crypto++ by doxygen1.2.4 written by Dimitri van Heesch, © 1997-2000