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1 files changed, 234 insertions, 0 deletions

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+#ifndef CRYPTOPP_LUC_H
+#define CRYPTOPP_LUC_H
+
+/** \file
+*/
+
+#include "pkcspad.h"
+#include "oaep.h"
+#include "integer.h"
+#include "dh.h"
+
+#include <limits.h>
+
+NAMESPACE_BEGIN(CryptoPP)
+
+//! .
+class LUCFunction : public TrapdoorFunction, public PublicKey
+{
+	typedef LUCFunction ThisClass;
+
+public:
+	void Initialize(const Integer &n, const Integer &e)
+		{m_n = n; m_e = e;}
+
+	void BERDecode(BufferedTransformation &bt);
+	void DEREncode(BufferedTransformation &bt) const;
+
+	Integer ApplyFunction(const Integer &x) const;
+	Integer PreimageBound() const {return m_n;}
+	Integer ImageBound() const {return m_n;}
+
+	bool Validate(RandomNumberGenerator &rng, unsigned int level) const;
+	bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const;
+	void AssignFrom(const NameValuePairs &source);
+
+	// non-derived interface
+	const Integer & GetModulus() const {return m_n;}
+	const Integer & GetPublicExponent() const {return m_e;}
+
+	void SetModulus(const Integer &n) {m_n = n;}
+	void SetPublicExponent(const Integer &e) {m_e = e;}
+
+protected:
+	Integer m_n, m_e;
+};
+
+//! .
+class InvertibleLUCFunction : public LUCFunction, public TrapdoorFunctionInverse, public PrivateKey
+{
+	typedef InvertibleLUCFunction ThisClass;
+
+public:
+	void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &eStart=17);
+	void Initialize(const Integer &n, const Integer &e, const Integer &p, const Integer &q, const Integer &u)
+		{m_n = n; m_e = e; m_p = p; m_q = q; m_u = u;}
+
+	void BERDecode(BufferedTransformation &bt);
+	void DEREncode(BufferedTransformation &bt) const;
+
+	Integer CalculateInverse(const Integer &x) const;
+
+	bool Validate(RandomNumberGenerator &rng, unsigned int level) const;
+	bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const;
+	void AssignFrom(const NameValuePairs &source);
+	/*! parameters: (ModulusSize, PublicExponent (default 17)) */
+	void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg);
+
+	// non-derived interface
+	const Integer& GetPrime1() const {return m_p;}
+	const Integer& GetPrime2() const {return m_q;}
+	const Integer& GetMultiplicativeInverseOfPrime2ModPrime1() const {return m_u;}
+
+	void SetPrime1(const Integer &p) {m_p = p;}
+	void SetPrime2(const Integer &q) {m_q = q;}
+	void SetMultiplicativeInverseOfPrime2ModPrime1(const Integer &u) {m_u = u;}
+
+protected:
+	Integer m_p, m_q, m_u;
+};
+
+struct LUC
+{
+	static std::string StaticAlgorithmName() {return "LUC";}
+	typedef LUCFunction PublicKey;
+	typedef InvertibleLUCFunction PrivateKey;
+};
+
+//! LUC cryptosystem
+template <class STANDARD>
+struct LUCES : public TF_ES<STANDARD, LUC>
+{
+};
+
+//! LUC signature scheme with appendix
+template <class H, class STANDARD = PKCS1v15>
+struct LUCSSA : public TF_SSA<STANDARD, H, LUC>
+{
+};
+
+// analagous to the RSA schemes defined in PKCS #1 v2.0
+typedef LUCES<OAEP<SHA> >::Decryptor LUCES_OAEP_SHA_Decryptor;
+typedef LUCES<OAEP<SHA> >::Encryptor LUCES_OAEP_SHA_Encryptor;
+
+typedef LUCSSA<SHA>::Signer LUCSSA_PKCS1v15_SHA_Signer;
+typedef LUCSSA<SHA>::Verifier LUCSSA_PKCS1v15_SHA_Verifier;
+
+// ********************************************************
+
+// no actual precomputation
+class DL_GroupPrecomputation_LUC : public DL_GroupPrecomputation<Integer>
+{
+public:
+	const AbstractGroup<Element> & GetGroup() const {assert(false); throw 0;}
+	Element BERDecodeElement(BufferedTransformation &bt) const {return Integer(bt);}
+	void DEREncodeElement(BufferedTransformation &bt, const Element &v) const {v.DEREncode(bt);}
+
+	// non-inherited
+	void SetModulus(const Integer &v) {m_p = v;}
+	const Integer & GetModulus() const {return m_p;}
+
+private:
+	Integer m_p;
+};
+
+//! .
+class DL_BasePrecomputation_LUC : public DL_FixedBasePrecomputation<Integer>
+{
+public:
+	// DL_FixedBasePrecomputation
+	bool IsInitialized() const {return m_g.NotZero();}
+	void SetBase(const DL_GroupPrecomputation<Element> &group, const Integer &base) {m_g = base;}
+	const Integer & GetBase(const DL_GroupPrecomputation<Element> &group) const {return m_g;}
+	void Precompute(const DL_GroupPrecomputation<Element> &group, unsigned int maxExpBits, unsigned int storage) {}
+	void Load(const DL_GroupPrecomputation<Element> &group, BufferedTransformation &storedPrecomputation) {}
+	void Save(const DL_GroupPrecomputation<Element> &group, BufferedTransformation &storedPrecomputation) const {}
+	Integer Exponentiate(const DL_GroupPrecomputation<Element> &group, const Integer &exponent) const;
+	Integer CascadeExponentiate(const DL_GroupPrecomputation<Element> &group, const Integer &exponent, const DL_FixedBasePrecomputation<Integer> &pc2, const Integer &exponent2) const
+		{throw NotImplemented("DL_BasePrecomputation_LUC: CascadeExponentiate not implemented");}	// shouldn't be called
+
+private:
+	Integer m_g;
+};
+
+//! .
+class DL_GroupParameters_LUC : public DL_GroupParameters_IntegerBasedImpl<DL_GroupPrecomputation_LUC, DL_BasePrecomputation_LUC>
+{
+public:
+	// DL_GroupParameters
+	bool IsIdentity(const Integer &element) const {return element == Integer::Two();}
+	void SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const;
+	Element MultiplyElements(const Element &a, const Element &b) const
+		{throw NotImplemented("LUC_GroupParameters: MultiplyElements can not be implemented");}
+	Element CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const
+		{throw NotImplemented("LUC_GroupParameters: MultiplyElements can not be implemented");}
+
+	// NameValuePairs interface
+	bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
+	{
+		return GetValueHelper<DL_GroupParameters_IntegerBased>(this, name, valueType, pValue).Assignable();
+	}
+
+private:
+	int GetFieldType() const {return 2;}
+};
+
+//! .
+class DL_GroupParameters_LUC_DefaultSafePrime : public DL_GroupParameters_LUC
+{
+public:
+	typedef NoCofactorMultiplication DefaultCofactorOption;
+
+protected:
+	unsigned int GetDefaultSubgroupOrderSize(unsigned int modulusSize) const {return modulusSize-1;}
+};
+
+//! .
+class DL_Algorithm_LUC_HMP : public DL_ElgamalLikeSignatureAlgorithm<Integer>
+{
+public:
+	static const char * StaticAlgorithmName() {return "LUC-HMP";}
+
+	Integer EncodeDigest(unsigned int modulusBits, const byte *digest, unsigned int digestLen) const
+		{return DSA_EncodeDigest(modulusBits, digest, digestLen);}
+
+	bool Sign(const DL_GroupParameters<Integer> &params, const Integer &x, const Integer &k, const Integer &e, Integer &r, Integer &s) const;
+	bool Verify(const DL_GroupParameters<Integer> &params, const DL_PublicKey<Integer> &publicKey, const Integer &e, const Integer &r, const Integer &s) const;
+
+	unsigned int RLen(const DL_GroupParameters<Integer> &params) const
+		{return params.GetGroupOrder().ByteCount();}
+};
+
+//! .
+struct DL_SignatureKeys_LUC
+{
+	typedef DL_GroupParameters_LUC GroupParameters;
+	typedef DL_PublicKey_GFP<GroupParameters> PublicKey;
+	typedef DL_PrivateKey_GFP<GroupParameters> PrivateKey;
+};
+
+//! LUC-HMP, based on "Digital signature schemes based on Lucas functions" by Patrick Horster, Markus Michels, Holger Petersen
+template <class H>
+struct LUC_HMP : public DL_SSA<DL_SignatureKeys_LUC, DL_Algorithm_LUC_HMP, H>
+{
+};
+
+//! .
+struct DL_CryptoKeys_LUC
+{
+	typedef DL_GroupParameters_LUC_DefaultSafePrime GroupParameters;
+	typedef DL_PublicKey_GFP<GroupParameters> PublicKey;
+	typedef DL_PrivateKey_GFP<GroupParameters> PrivateKey;
+};
+
+//! LUC-IES
+template <class COFACTOR_OPTION = NoCofactorMultiplication, bool DHAES_MODE = true>
+struct LUC_IES
+	: public DL_ES<
+		DL_CryptoKeys_LUC,
+		DL_KeyAgreementAlgorithm_DH<Integer, COFACTOR_OPTION>,
+		DL_KeyDerivationAlgorithm_P1363<Integer, DHAES_MODE, P1363_KDF2<SHA1> >,
+		DL_EncryptionAlgorithm_Xor<HMAC<SHA1>, DHAES_MODE>,
+		LUC_IES<> >
+{
+	static std::string StaticAlgorithmName() {return "LUC-IES";}	// non-standard name
+};
+
+// ********************************************************
+
+//! LUC-DH
+typedef DH_Domain<DL_GroupParameters_LUC_DefaultSafePrime> LUC_DH;
+
+NAMESPACE_END
+
+#endif