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// rw.h - originally written and placed in the public domain by Wei Dai /// \file rw.h /// \brief Classes for Rabin-Williams signature scheme /// \details The implementation provides Rabin-Williams signature schemes as defined in /// IEEE P1363. It uses Bernstein's tweaked square roots in place of square roots to /// speedup calculations. /// \sa RSA signatures and Rabin–Williams /// signatures: the state of the art (20080131), Section 6, The tweaks e and f. /// \since Crypto++ 3.0 #ifndef CRYPTOPP_RW_H #define CRYPTOPP_RW_H #include "cryptlib.h" #include "pubkey.h" #include "integer.h" NAMESPACE_BEGIN(CryptoPP) /// \brief Rabin-Williams trapdoor function using the public key /// \since Crypto++ 3.0, Tweaked roots using e and f since Crypto++ 5.6.4 class CRYPTOPP_DLL RWFunction : public TrapdoorFunction, public PublicKey { typedef RWFunction ThisClass; public: /// \brief Initialize a Rabin-Williams public key /// \param n the modulus void Initialize(const Integer &n) {m_n = n;} void BERDecode(BufferedTransformation &bt); void DEREncode(BufferedTransformation &bt) const; void Save(BufferedTransformation &bt) const {DEREncode(bt);} void Load(BufferedTransformation &bt) {BERDecode(bt);} Integer ApplyFunction(const Integer &x) const; Integer PreimageBound() const {return ++(m_n>>1);} 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); const Integer& GetModulus() const {return m_n;} void SetModulus(const Integer &n) {m_n = n;} protected: Integer m_n; }; /// \brief Rabin-Williams trapdoor function using the private key /// \since Crypto++ 3.0, Tweaked roots using e and f since Crypto++ 5.6.4 class CRYPTOPP_DLL InvertibleRWFunction : public RWFunction, public TrapdoorFunctionInverse, public PrivateKey { typedef InvertibleRWFunction ThisClass; public: /// \brief Construct an InvertibleRWFunction InvertibleRWFunction() : m_precompute(false) {} /// \brief Initialize a Rabin-Williams private key /// \param n modulus /// \param p first prime factor /// \param q second prime factor /// \param u q-1 mod p /// \details This Initialize() function overload initializes a private key from existing parameters. void Initialize(const Integer &n, const Integer &p, const Integer &q, const Integer &u); /// \brief Create a Rabin-Williams private key /// \param rng a RandomNumberGenerator derived class /// \param modulusBits the size of the modulus, in bits /// \details This function overload of Initialize() creates a new private key 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) {GenerateRandomWithKeySize(rng, modulusBits);} void BERDecode(BufferedTransformation &bt); void DEREncode(BufferedTransformation &bt) const; void Save(BufferedTransformation &bt) const {DEREncode(bt);} void Load(BufferedTransformation &bt) {BERDecode(bt);} Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const; // GeneratibleCryptoMaterial 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) */ void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg); 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;} virtual bool SupportsPrecomputation() const {return true;} virtual void Precompute(unsigned int unused = 0) {CRYPTOPP_UNUSED(unused); PrecomputeTweakedRoots();} virtual void Precompute(unsigned int unused = 0) const {CRYPTOPP_UNUSED(unused); PrecomputeTweakedRoots();} virtual void LoadPrecomputation(BufferedTransformation &storedPrecomputation); virtual void SavePrecomputation(BufferedTransformation &storedPrecomputation) const; protected: void PrecomputeTweakedRoots() const; protected: Integer m_p, m_q, m_u; mutable Integer m_pre_2_9p, m_pre_2_3q, m_pre_q_p; mutable bool m_precompute; }; /// \brief Rabin-Williams keys /// \since Crypto++ 3.0 struct RW { CRYPTOPP_STATIC_CONSTEXPR const char* StaticAlgorithmName() {return "RW";} typedef RWFunction PublicKey; typedef InvertibleRWFunction PrivateKey; }; /// \brief Rabin-Williams signature scheme /// \tparam STANDARD signature standard /// \tparam H hash transformation /// \since Crypto++ 3.0 template struct RWSS : public TF_SS { }; NAMESPACE_END #endif