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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 <A HREF="http://cr.yp.to/sigs/rwsota-20080131.pdf">RSA signatures and Rabin–Williams
- /// signatures: the state of the art (20080131)</A>, Section 6, <em>The tweaks e and f</em>.
- /// \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 <em>e</em> and <em>f</em> 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 <em>e</em> and <em>f</em> 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<sup>-1</sup> 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 <class STANDARD, class H>
- struct RWSS : public TF_SS<RW, STANDARD, H>
- {
- };
- NAMESPACE_END
- #endif
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