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- // luc.h - originally written and placed in the public domain by Wei Dai
- /// \file luc.h
- /// \brief Classes for the LUC cryptosystem
- /// \details 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.
- /// \since Crypto++ 2.1
- #ifndef CRYPTOPP_LUC_H
- #define CRYPTOPP_LUC_H
- #include "cryptlib.h"
- #include "gfpcrypt.h"
- #include "integer.h"
- #include "algebra.h"
- #include "secblock.h"
- #if CRYPTOPP_MSC_VERSION
- # pragma warning(push)
- # pragma warning(disable: 4127 4189)
- #endif
- #include "pkcspad.h"
- #include "integer.h"
- #include "oaep.h"
- #include "dh.h"
- #include <limits.h>
- NAMESPACE_BEGIN(CryptoPP)
- /// \brief The LUC function.
- /// \details 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.
- /// \since Crypto++ 2.1
- class LUCFunction : public TrapdoorFunction, public PublicKey
- {
- typedef LUCFunction ThisClass;
- public:
- virtual ~LUCFunction() {}
- /// \brief Initialize a LUC public key with {n,e}
- /// \param n the modulus
- /// \param e the public exponent
- 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;
- };
- /// \brief The LUC inverse function.
- /// \details 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.
- /// \since Crypto++ 2.1
- class InvertibleLUCFunction : public LUCFunction, public TrapdoorFunctionInverse, public PrivateKey
- {
- typedef InvertibleLUCFunction ThisClass;
- public:
- virtual ~InvertibleLUCFunction() {}
- /// \brief Create a LUC private key
- /// \param rng a RandomNumberGenerator derived class
- /// \param modulusBits the size of the modulus, in bits
- /// \param eStart the desired starting public exponent
- /// \details Initialize() creates a new keypair using a starting public exponent of 17.
- /// \details This function overload of Initialize() creates a new keypair because it
- /// takes a RandomNumberGenerator() as a parameter. If you have an existing keypair,
- /// then use one of the other Initialize() overloads.
- void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &eStart=17);
- /// \brief Initialize a LUC private key with {n,e,p,q,dp,dq,u}
- /// \param n modulus
- /// \param e public exponent
- /// \param p first prime factor
- /// \param q second prime factor
- /// \param u q<sup>-1</sup> mod p
- /// \details This Initialize() function overload initializes a private key from existing parameters.
- 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;
- };
- /// \brief LUC cryptosystem
- /// \since Crypto++ 2.1
- struct LUC
- {
- static std::string StaticAlgorithmName() {return "LUC";}
- typedef LUCFunction PublicKey;
- typedef InvertibleLUCFunction PrivateKey;
- };
- /// \brief LUC encryption scheme
- /// \tparam STANDARD signature standard
- /// \details 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.
- /// \since Crypto++ 2.1
- template <class STANDARD>
- struct LUCES : public TF_ES<LUC, STANDARD>
- {
- };
- /// \brief LUC signature scheme with appendix
- /// \tparam STANDARD signature standard
- /// \tparam H hash transformation
- /// \details 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.
- /// \since Crypto++ 2.1
- template <class STANDARD, class H>
- struct LUCSS : public TF_SS<LUC, STANDARD, H>
- {
- };
- // analogous to the RSA schemes defined in PKCS #1 v2.0
- typedef LUCES<OAEP<SHA1> >::Decryptor LUCES_OAEP_SHA_Decryptor;
- typedef LUCES<OAEP<SHA1> >::Encryptor LUCES_OAEP_SHA_Encryptor;
- typedef LUCSS<PKCS1v15, SHA1>::Signer LUCSSA_PKCS1v15_SHA_Signer;
- typedef LUCSS<PKCS1v15, SHA1>::Verifier LUCSSA_PKCS1v15_SHA_Verifier;
- // ********************************************************
- /// \brief LUC GroupParameters precomputation
- /// \details No actual precomputation is performed
- /// \since Crypto++ 2.1
- class DL_GroupPrecomputation_LUC : public DL_GroupPrecomputation<Integer>
- {
- public:
- virtual ~DL_GroupPrecomputation_LUC() {}
- const AbstractGroup<Element> & GetGroup() const {CRYPTOPP_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;
- };
- /// \brief LUC Precomputation
- /// \since Crypto++ 2.1
- class DL_BasePrecomputation_LUC : public DL_FixedBasePrecomputation<Integer>
- {
- public:
- virtual ~DL_BasePrecomputation_LUC() {}
- // DL_FixedBasePrecomputation
- bool IsInitialized() const {return m_g.NotZero();}
- void SetBase(const DL_GroupPrecomputation<Element> &group, const Integer &base)
- {CRYPTOPP_UNUSED(group); m_g = base;}
- const Integer & GetBase(const DL_GroupPrecomputation<Element> &group) const
- {CRYPTOPP_UNUSED(group); return m_g;}
- void Precompute(const DL_GroupPrecomputation<Element> &group, unsigned int maxExpBits, unsigned int storage)
- {CRYPTOPP_UNUSED(group); CRYPTOPP_UNUSED(maxExpBits); CRYPTOPP_UNUSED(storage);}
- void Load(const DL_GroupPrecomputation<Element> &group, BufferedTransformation &storedPrecomputation)
- {CRYPTOPP_UNUSED(group); CRYPTOPP_UNUSED(storedPrecomputation);}
- void Save(const DL_GroupPrecomputation<Element> &group, BufferedTransformation &storedPrecomputation) const
- {CRYPTOPP_UNUSED(group); CRYPTOPP_UNUSED(storedPrecomputation);}
- 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
- {
- CRYPTOPP_UNUSED(group); CRYPTOPP_UNUSED(exponent); CRYPTOPP_UNUSED(pc2); CRYPTOPP_UNUSED(exponent2);
- // shouldn't be called
- throw NotImplemented("DL_BasePrecomputation_LUC: CascadeExponentiate not implemented");
- }
- private:
- Integer m_g;
- };
- /// \brief LUC GroupParameters specialization
- /// \since Crypto++ 2.1
- class DL_GroupParameters_LUC : public DL_GroupParameters_IntegerBasedImpl<DL_GroupPrecomputation_LUC, DL_BasePrecomputation_LUC>
- {
- public:
- virtual ~DL_GroupParameters_LUC() {}
- // 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
- {
- CRYPTOPP_UNUSED(a); CRYPTOPP_UNUSED(b);
- throw NotImplemented("LUC_GroupParameters: MultiplyElements can not be implemented");
- }
- Element CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const
- {
- CRYPTOPP_UNUSED(element1); CRYPTOPP_UNUSED(exponent1); CRYPTOPP_UNUSED(element2); CRYPTOPP_UNUSED(exponent2);
- 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;}
- };
- /// \brief GF(p) group parameters that default to safe primes
- /// \since Crypto++ 2.1
- class DL_GroupParameters_LUC_DefaultSafePrime : public DL_GroupParameters_LUC
- {
- public:
- typedef NoCofactorMultiplication DefaultCofactorOption;
- protected:
- unsigned int GetDefaultSubgroupOrderSize(unsigned int modulusSize) const {return modulusSize-1;}
- };
- /// \brief LUC HMP signature algorithm
- /// \since Crypto++ 2.1
- class DL_Algorithm_LUC_HMP : public DL_ElgamalLikeSignatureAlgorithm<Integer>
- {
- public:
- CRYPTOPP_STATIC_CONSTEXPR const char* StaticAlgorithmName() {return "LUC-HMP";}
- virtual ~DL_Algorithm_LUC_HMP() {}
- void Sign(const DL_GroupParameters<Integer> ¶ms, const Integer &x, const Integer &k, const Integer &e, Integer &r, Integer &s) const;
- bool Verify(const DL_GroupParameters<Integer> ¶ms, const DL_PublicKey<Integer> &publicKey, const Integer &e, const Integer &r, const Integer &s) const;
- size_t RLen(const DL_GroupParameters<Integer> ¶ms) const
- {return params.GetGroupOrder().ByteCount();}
- };
- /// \brief LUC signature keys
- /// \since Crypto++ 2.1
- struct DL_SignatureKeys_LUC
- {
- typedef DL_GroupParameters_LUC GroupParameters;
- typedef DL_PublicKey_GFP<GroupParameters> PublicKey;
- typedef DL_PrivateKey_GFP<GroupParameters> PrivateKey;
- };
- /// \brief LUC-HMP, based on "Digital signature schemes based on Lucas functions" by Patrick Horster, Markus Michels, Holger Petersen
- /// \tparam H hash transformation
- /// \details 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.
- /// \since Crypto++ 2.1
- template <class H>
- struct LUC_HMP : public DL_SS<DL_SignatureKeys_LUC, DL_Algorithm_LUC_HMP, DL_SignatureMessageEncodingMethod_DSA, H>
- {
- };
- /// \brief LUC encryption keys
- /// \since Crypto++ 2.1
- struct DL_CryptoKeys_LUC
- {
- typedef DL_GroupParameters_LUC_DefaultSafePrime GroupParameters;
- typedef DL_PublicKey_GFP<GroupParameters> PublicKey;
- typedef DL_PrivateKey_GFP<GroupParameters> PrivateKey;
- };
- /// \brief LUC Integrated Encryption Scheme
- /// \tparam COFACTOR_OPTION cofactor multiplication option
- /// \tparam HASH HashTransformation derived class used for key drivation and MAC computation
- /// \tparam DHAES_MODE flag indicating if the MAC includes additional context parameters such as <em>u·V</em>, <em>v·U</em> and label
- /// \tparam LABEL_OCTETS flag indicating if the label size is specified in octets or bits
- /// \sa CofactorMultiplicationOption
- /// \since Crypto++ 2.1, Crypto++ 5.7 for Bouncy Castle and Botan compatibility
- template <class HASH = SHA1, class COFACTOR_OPTION = NoCofactorMultiplication, bool DHAES_MODE = true, bool LABEL_OCTETS = false>
- struct LUC_IES
- : public DL_ES<
- DL_CryptoKeys_LUC,
- DL_KeyAgreementAlgorithm_DH<Integer, COFACTOR_OPTION>,
- DL_KeyDerivationAlgorithm_P1363<Integer, DHAES_MODE, P1363_KDF2<HASH> >,
- DL_EncryptionAlgorithm_Xor<HMAC<HASH>, DHAES_MODE, LABEL_OCTETS>,
- LUC_IES<> >
- {
- CRYPTOPP_STATIC_CONSTEXPR const char* StaticAlgorithmName() {return "LUC-IES";} // non-standard name
- };
- // ********************************************************
- /// \brief LUC-DH
- typedef DH_Domain<DL_GroupParameters_LUC_DefaultSafePrime> LUC_DH;
- NAMESPACE_END
- #if CRYPTOPP_MSC_VERSION
- # pragma warning(pop)
- #endif
- #endif
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