Initial revision

1 files changed, 639 insertions, 0 deletions

diff --git a/eccrypto.cpp b/eccrypto.cpp
new file mode 100644
index 00000000..28110b71
--- /dev/null
+++ b/eccrypto.cpp
@@ -0,0 +1,639 @@
+#include "pch.h"
+#include "eccrypto.h"
+#include "ec2n.h"
+#include "ecp.h"
+#include "nbtheory.h"
+#include "oids.h"
+#include "hex.h"
+#include "argnames.h"
+
+NAMESPACE_BEGIN(CryptoPP)
+
+static void ECDSA_TestInstantiations()
+{
+	ECDSA<EC2N>::Signer t1;
+	ECDSA<EC2N>::Verifier t2(t1);
+	ECNR<ECP>::Signer t3;
+	ECNR<ECP>::Verifier t4(t3);
+	ECIES<ECP>::Encryptor t5;
+	ECIES<EC2N>::Decryptor t6;
+	ECDH<ECP>::Domain t7;
+	ECMQV<ECP>::Domain t8;
+}
+
+// VC60 workaround: complains when these functions are put into an anonymous namespace
+static Integer ConvertToInteger(const PolynomialMod2 &x)
+{
+	unsigned int l = x.ByteCount();
+	SecByteBlock temp(l);
+	x.Encode(temp, l);
+	return Integer(temp, l);
+}
+
+static inline Integer ConvertToInteger(const Integer &x)
+{
+	return x;
+}
+
+static bool CheckMOVCondition(const Integer &q, const Integer &r)
+{
+	Integer t=1;
+	unsigned int n=q.BitCount(), m=r.BitCount();
+
+	for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
+	{
+		t = (t*q)%r;
+		if (t == 1)
+			return false;
+	}
+	return true;
+}
+
+// ******************************************************************
+
+template <class T> struct EcRecommendedParameters;
+
+template<> struct EcRecommendedParameters<EC2N>
+{
+	EcRecommendedParameters(const OID &oid, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
+		: oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
+	EcRecommendedParameters(const OID &oid, unsigned int t0, unsigned int t1, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
+		: oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
+	EC2N *NewEC() const
+	{
+		StringSource ssA(a, true, new HexDecoder);
+		StringSource ssB(b, true, new HexDecoder);
+		if (t0 == 0)
+			return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
+		else
+			return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable()));
+	};
+
+	OID oid;
+	unsigned int t0, t1, t2, t3, t4;
+	const char *a, *b, *g, *n;
+	unsigned int h;
+};
+
+template<> struct EcRecommendedParameters<ECP>
+{
+	EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
+		: oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
+	ECP *NewEC() const
+	{
+		StringSource ssP(p, true, new HexDecoder);
+		StringSource ssA(a, true, new HexDecoder);
+		StringSource ssB(b, true, new HexDecoder);
+		return new ECP(Integer(ssP, ssP.MaxRetrievable()), ECP::FieldElement(ssA, ssA.MaxRetrievable()), ECP::FieldElement(ssB, ssB.MaxRetrievable()));
+	};
+
+	OID oid;
+	const char *p;
+	const char *a, *b, *g, *n;
+	unsigned int h;
+};
+
+struct OIDLessThan
+{
+	template <typename T>
+	inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
+	template <typename T>
+	inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
+};
+
+static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
+{
+	// this array must be sorted by OID
+	static const EcRecommendedParameters<EC2N> rec[] = {
+		EcRecommendedParameters<EC2N>(ASN1::sect163k1(), 
+			163, 7, 6, 3, 0,
+			"000000000000000000000000000000000000000001",
+			"000000000000000000000000000000000000000001",
+			"0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
+			"04000000000000000000020108A2E0CC0D99F8A5EF",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect163r1(), 
+			163, 7, 6, 3, 0,
+			"07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
+			"0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
+			"040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
+			"03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect239k1(), 
+			239, 158, 0,
+			"000000000000000000000000000000000000000000000000000000000000",
+			"000000000000000000000000000000000000000000000000000000000001",
+			"0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
+			"2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
+			4),
+		EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
+			113, 9, 0,
+			"003088250CA6E7C7FE649CE85820F7",
+			"00E8BEE4D3E2260744188BE0E9C723",
+			"04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
+			"0100000000000000D9CCEC8A39E56F",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect113r2(), 
+			113, 9, 0,
+			"00689918DBEC7E5A0DD6DFC0AA55C7",
+			"0095E9A9EC9B297BD4BF36E059184F",
+			"0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
+			"010000000000000108789B2496AF93",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect163r2(), 
+			163, 7, 6, 3, 0,
+			"000000000000000000000000000000000000000001",
+			"020A601907B8C953CA1481EB10512F78744A3205FD",
+			"0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
+			"040000000000000000000292FE77E70C12A4234C33",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect283k1(), 
+			283, 12, 7, 5, 0,
+			"000000000000000000000000000000000000000000000000000000000000000000000000",
+			"000000000000000000000000000000000000000000000000000000000000000000000001",
+			"040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
+			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
+			4),
+		EcRecommendedParameters<EC2N>(ASN1::sect283r1(), 
+			283, 12, 7, 5, 0,
+			"000000000000000000000000000000000000000000000000000000000000000000000001",
+			"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
+			"0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
+			"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect131r1(), 
+			131, 8, 3, 2, 0,
+			"07A11B09A76B562144418FF3FF8C2570B8",
+			"0217C05610884B63B9C6C7291678F9D341",
+			"040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
+			"0400000000000000023123953A9464B54D",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect131r2(), 
+			131, 8, 3, 2, 0,
+			"03E5A88919D7CAFCBF415F07C2176573B2",
+			"04B8266A46C55657AC734CE38F018F2192",
+			"040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
+			"0400000000000000016954A233049BA98F",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect193r1(), 
+			193, 15, 0,
+			"0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
+			"00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
+			"0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
+			"01000000000000000000000000C7F34A778F443ACC920EBA49",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect193r2(), 
+			193, 15, 0,
+			"0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
+			"00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
+			"0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
+			"010000000000000000000000015AAB561B005413CCD4EE99D5",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect233k1(), 
+			233, 74, 0,
+			"000000000000000000000000000000000000000000000000000000000000",
+			"000000000000000000000000000000000000000000000000000000000001",
+			"04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
+			"8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
+			4),
+		EcRecommendedParameters<EC2N>(ASN1::sect233r1(), 
+			233, 74, 0,
+			"000000000000000000000000000000000000000000000000000000000001",
+			"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
+			"0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
+			"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect409k1(), 
+			409, 87, 0,
+			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+			"040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
+			"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
+			4),
+		EcRecommendedParameters<EC2N>(ASN1::sect409r1(), 
+			409, 87, 0,
+			"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+			"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
+			"04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
+			"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
+			2),
+		EcRecommendedParameters<EC2N>(ASN1::sect571k1(), 
+			571, 10, 5, 2, 0,
+			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+			"04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
+			"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
+			4),
+		EcRecommendedParameters<EC2N>(ASN1::sect571r1(), 
+			571, 10, 5, 2, 0,
+			"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
+			"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
+			"040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
+			"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
+			2),
+	};
+	begin = rec;
+	end = rec + sizeof(rec)/sizeof(rec[0]);
+}
+
+static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
+{
+	// this array must be sorted by OID
+	static const EcRecommendedParameters<ECP> rec[] = {
+		EcRecommendedParameters<ECP>(ASN1::secp192r1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
+			"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
+			"04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
+			"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp256r1(),
+			"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
+			"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
+			"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
+			"046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
+			"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp112r1(),
+			"DB7C2ABF62E35E668076BEAD208B",
+			"DB7C2ABF62E35E668076BEAD2088",
+			"659EF8BA043916EEDE8911702B22",
+			"0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
+			"DB7C2ABF62E35E7628DFAC6561C5",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp112r2(),
+			"DB7C2ABF62E35E668076BEAD208B",
+			"6127C24C05F38A0AAAF65C0EF02C",
+			"51DEF1815DB5ED74FCC34C85D709",
+			"044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
+			"36DF0AAFD8B8D7597CA10520D04B",
+			4),
+		EcRecommendedParameters<ECP>(ASN1::secp160r1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
+			"1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
+			"044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
+			"0100000000000000000001F4C8F927AED3CA752257",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp160k1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
+			"0000000000000000000000000000000000000000",
+			"0000000000000000000000000000000000000007",
+			"043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
+			"0100000000000000000001B8FA16DFAB9ACA16B6B3",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp256k1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
+			"0000000000000000000000000000000000000000000000000000000000000000",
+			"0000000000000000000000000000000000000000000000000000000000000007",
+			"0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp128r1(),
+			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
+			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
+			"E87579C11079F43DD824993C2CEE5ED3",
+			"04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
+			"FFFFFFFE0000000075A30D1B9038A115",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp128r2(),
+			"FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
+			"D6031998D1B3BBFEBF59CC9BBFF9AEE1",
+			"5EEEFCA380D02919DC2C6558BB6D8A5D",
+			"047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
+			"3FFFFFFF7FFFFFFFBE0024720613B5A3",
+			4),
+		EcRecommendedParameters<ECP>(ASN1::secp160r2(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
+			"B4E134D3FB59EB8BAB57274904664D5AF50388BA",
+			"0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
+			"0100000000000000000000351EE786A818F3A1A16B",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp192k1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
+			"000000000000000000000000000000000000000000000000",
+			"000000000000000000000000000000000000000000000003",
+			"04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
+			"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp224k1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
+			"00000000000000000000000000000000000000000000000000000000",
+			"00000000000000000000000000000000000000000000000000000005",
+			"04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
+			"010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp224r1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
+			"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
+			"04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp384r1(),
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
+			"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
+			"04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
+			"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
+			1),
+		EcRecommendedParameters<ECP>(ASN1::secp521r1(),
+			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
+			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
+			"0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
+			"0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
+			"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
+			1),
+	};
+	begin = rec;
+	end = rec + sizeof(rec)/sizeof(rec[0]);
+}
+
+template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
+{
+	const EcRecommendedParameters<EllipticCurve> *begin, *end;
+	GetRecommendedParameters(begin, end);
+	const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
+	return (it == end ? OID() : it->oid);
+}
+
+template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
+{
+	const EcRecommendedParameters<EllipticCurve> *begin, *end;
+	GetRecommendedParameters(begin, end);
+	const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
+	if (it == end || it->oid != oid)
+		throw UnknownOID();
+
+	const EcRecommendedParameters<EllipticCurve> &param = *it;
+	m_oid = oid;
+	std::auto_ptr<EllipticCurve> ec(param.NewEC());
+	m_groupPrecomputation.SetCurve(*ec);
+
+	StringSource ssG(param.g, true, new HexDecoder);
+	Element G;
+	bool result = GetCurve().DecodePoint(G, ssG, ssG.MaxRetrievable());
+	SetSubgroupGenerator(G);
+	assert(result);
+
+	StringSource ssN(param.n, true, new HexDecoder);
+	m_n.Decode(ssN, ssN.MaxRetrievable());
+	m_k = param.h;
+}
+
+template <class EC>
+bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
+{
+	if (strcmp(name, Name::GroupOID()) == 0)
+	{
+		if (m_oid.m_values.empty())
+			return false;
+
+		ThrowIfTypeMismatch(name, typeid(OID), valueType);
+		*reinterpret_cast<OID *>(pValue) = m_oid;
+		return true;
+	}
+	else
+		return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
+			CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
+}
+
+template <class EC>
+void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
+{
+	OID oid;
+	if (source.GetValue(Name::GroupOID(), oid))
+		Initialize(oid);
+	else
+	{
+		EllipticCurve ec;
+		Point G;
+		Integer n;
+
+		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
+		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
+		source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
+		Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
+
+		Initialize(ec, G, n, k);
+	}
+}
+
+template <class EC>
+void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
+{
+	try
+	{
+		AssignFrom(alg);
+	}
+	catch (InvalidArgument &)
+	{
+		throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
+	}
+}
+
+template <class EC>
+void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
+{
+	byte b;
+	if (!bt.Peek(b))
+		BERDecodeError();
+	if (b == OBJECT_IDENTIFIER)
+		Initialize(OID(bt));
+	else
+	{
+		BERSequenceDecoder seq(bt);
+			word32 version;
+			BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);	// check version
+			EllipticCurve ec(seq);
+			Point G = ec.BERDecodePoint(seq);
+			Integer n(seq);
+			Integer k;
+			bool cofactorPresent = !seq.EndReached();
+			if (cofactorPresent)
+				k.BERDecode(seq);
+			else
+				k = Integer::Zero();
+		seq.MessageEnd();
+
+		Initialize(ec, G, n, k);
+	}
+}
+
+template <class EC>
+void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
+{
+	if (m_encodeAsOID && !m_oid.m_values.empty())
+		m_oid.DEREncode(bt);
+	else
+	{
+		DERSequenceEncoder seq(bt);
+		DEREncodeUnsigned<word32>(seq, 1);	// version
+		GetCurve().DEREncode(seq);
+		GetCurve().DEREncodePoint(seq, GetSubgroupGenerator(), m_compress);
+		m_n.DEREncode(seq);
+		if (m_k.NotZero())
+			m_k.DEREncode(seq);
+		seq.MessageEnd();
+	}
+}
+
+template <class EC>
+Integer DL_GroupParameters_EC<EC>::GetCofactor() const
+{
+	if (!m_k)
+	{
+		Integer q = GetCurve().FieldSize();
+		Integer qSqrt = q.SquareRoot();
+		m_k = (q+2*qSqrt+1)/m_n;
+	}
+
+	return m_k;
+}
+
+template <class EC>
+Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
+{
+	return ConvertToInteger(element.x);
+};
+
+template <class EC>
+bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
+{
+	bool pass = GetCurve().ValidateParameters(rng, level);
+
+	Integer q = GetCurve().FieldSize();
+	pass = pass && m_n!=q;
+
+	if (level >= 2)
+	{
+		Integer qSqrt = q.SquareRoot();
+		pass = pass && m_n>4*qSqrt;
+		pass = pass && VerifyPrime(rng, m_n, level-2);
+		pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
+		pass = pass && CheckMOVCondition(q, m_n);
+	}
+
+	return pass;
+}
+
+template <class EC>
+bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
+{
+	bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
+	if (level >= 1)
+	{
+		if (gpc)
+			pass = pass && gpc->Exponentiate(GetGroupPrecomputation(), Integer::One()) == g;
+	}
+	if (level >= 2)
+	{
+		const Integer &q = GetSubgroupOrder();
+		pass = pass && IsIdentity(gpc ? gpc->Exponentiate(GetGroupPrecomputation(), q) : ExponentiateElement(g, q));
+	}
+	return pass;
+}
+
+template <class EC>
+void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
+{
+	GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
+}
+
+template <class EC>
+DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
+{
+	return GetCurve().Add(a, b);
+}
+
+template <class EC>
+DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const
+{
+	return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
+}
+
+template <class EC>
+OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
+{
+	return ASN1::id_ecPublicKey();
+}
+
+// ******************************************************************
+
+template <class EC>
+void DL_PublicKey_EC<EC>::BERDecodeKey2(BufferedTransformation &bt, bool parametersPresent, unsigned int size)
+{
+	typename EC::Point P;
+	if (!GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
+		BERDecodeError();
+	SetPublicElement(P);
+}
+
+template <class EC>
+void DL_PublicKey_EC<EC>::DEREncodeKey(BufferedTransformation &bt) const
+{
+	GetGroupParameters().GetCurve().EncodePoint(bt, GetPublicElement(), GetGroupParameters().GetPointCompression());
+}
+
+// ******************************************************************
+
+template <class EC>
+void DL_PrivateKey_EC<EC>::BERDecodeKey2(BufferedTransformation &bt, bool parametersPresent, unsigned int size)
+{
+	BERSequenceDecoder seq(bt);
+		word32 version;
+		BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);	// check version
+
+		BERGeneralDecoder dec(seq, OCTET_STRING);
+		if (!dec.IsDefiniteLength())
+			BERDecodeError();
+		Integer x;
+		x.Decode(dec, dec.RemainingLength());
+		dec.MessageEnd();
+		if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
+			BERDecodeError();
+		if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
+		{
+			BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
+			AccessGroupParameters().BERDecode(parameters);
+			parameters.MessageEnd();
+		}
+		if (!seq.EndReached())
+		{
+			// skip over the public element
+			SecByteBlock subjectPublicKey;
+			unsigned int unusedBits;
+			BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
+			BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
+			publicKey.MessageEnd();
+			Element Q;
+			if (!(unusedBits == 0 && GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
+				BERDecodeError();
+		}
+	seq.MessageEnd();
+
+	SetPrivateExponent(x);
+}
+
+template <class EC>
+void DL_PrivateKey_EC<EC>::DEREncodeKey(BufferedTransformation &bt) const
+{
+	DERSequenceEncoder privateKey(bt);
+		DEREncodeUnsigned<word32>(privateKey, 1);	// version
+		// SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
+		// this will be changed to order of base point in a future version
+		GetPrivateExponent().DEREncodeAsOctetString(privateKey, GetGroupParameters().GetSubgroupOrder().ByteCount());
+	privateKey.MessageEnd();
+}
+
+// ******************************************************************
+
+template class DL_GroupParameters_EC<EC2N>;
+template class DL_GroupParameters_EC<ECP>;
+template class DL_PublicKey_EC<EC2N>;
+template class DL_PublicKey_EC<ECP>;
+template class DL_PrivateKey_EC<EC2N>;
+template class DL_PrivateKey_EC<ECP>;
+
+NAMESPACE_END