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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)
+
+//! The LUC function.
+/*! This class is here for historical and pedagogical interest. It has no
+ practical advantages over other trapdoor functions and probably shouldn't
+ be used in production software. The discrete log based LUC schemes
+ defined later in this .h file may be of more practical interest.
+*/
+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(RandomNumberGenerator &rng, 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 STANDARD, class H>
+struct LUCSS : public TF_SS<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 LUCSS<PKCS1v15, SHA>::Signer LUCSSA_PKCS1v15_SHA_Signer;
+typedef LUCSS<PKCS1v15, 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";}
+
+ void 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;
+
+ size_t 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_SS<DL_SignatureKeys_LUC, DL_Algorithm_LUC_HMP, DL_SignatureMessageEncodingMethod_DSA, 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