source: git/src-cryptopp/rsa.h

// rsa.h - written and placed in the public domain by Wei Dai

//! \file rsa.h
//! \brief Classes for the RSA cryptosystem
//! \details This file contains classes that implement the RSA
//!   ciphers and signature schemes as defined in PKCS #1 v2.0.

#ifndef CRYPTOPP_RSA_H
#define CRYPTOPP_RSA_H

#include "cryptlib.h"
#include "pubkey.h"
#include "integer.h"
#include "pkcspad.h"
#include "oaep.h"
#include "emsa2.h"
#include "asn.h"

NAMESPACE_BEGIN(CryptoPP)

//! \class RSAFunction
//! \brief RSA trapdoor function using the public key
class CRYPTOPP_DLL RSAFunction : public TrapdoorFunction, public X509PublicKey
{
        typedef RSAFunction ThisClass;

public:
        //! \brief Initialize a RSA 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;}

        // X509PublicKey
        OID GetAlgorithmID() const;
        void BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size);
        void DEREncodePublicKey(BufferedTransformation &bt) const;

        // CryptoMaterial
        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);

        // TrapdoorFunction
        Integer ApplyFunction(const Integer &x) const;
        Integer PreimageBound() const {return m_n;}
        Integer ImageBound() const {return m_n;}

        // non-derived
        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 InvertibleRSAFunction
//! \brief RSA trapdoor function using the private key
class CRYPTOPP_DLL InvertibleRSAFunction : public RSAFunction, public TrapdoorFunctionInverse, public PKCS8PrivateKey
{
        typedef InvertibleRSAFunction ThisClass;

public:
        //! \brief Create a RSA private key
        //! \param rng a RandomNumberGenerator derived class
        //! \param modulusBits the size of the modulud, in bits
        //! \param e the desired public exponent
        void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &e = 17);

        //! \brief Initialize a RSA private key with {n,e,d,p,q,dp,dq,u}
        //! \param n modulus
        //! \param e public exponent
        //! \param d private exponent
        //! \param p first prime factor
        //! \param q second prime factor
        //! \param dp d mod p
        //! \param dq d mod q
        //! \param u q<sup>-1</sup> mod p
        void Initialize(const Integer &n, const Integer &e, const Integer &d, const Integer &p, const Integer &q, const Integer &dp, const Integer &dq, const Integer &u)
                {m_n = n; m_e = e; m_d = d; m_p = p; m_q = q; m_dp = dp; m_dq = dq; m_u = u;}
        //! \brief Initialize a RSA private key with {n,e,d}
        //! \param n modulus
        //! \param e public exponent
        //! \param d private exponent
        //! \details Initialize() will factor n using d and populate {p,q,dp,dq,u}.
        void Initialize(const Integer &n, const Integer &e, const Integer &d);

        // PKCS8PrivateKey
        void BERDecode(BufferedTransformation &bt)
                {PKCS8PrivateKey::BERDecode(bt);}
        void DEREncode(BufferedTransformation &bt) const
                {PKCS8PrivateKey::DEREncode(bt);}
        void Load(BufferedTransformation &bt)
                {PKCS8PrivateKey::BERDecode(bt);}
        void Save(BufferedTransformation &bt) const
                {PKCS8PrivateKey::DEREncode(bt);}
        OID GetAlgorithmID() const {return RSAFunction::GetAlgorithmID();}
        void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size);
        void DEREncodePrivateKey(BufferedTransformation &bt) const;

        // TrapdoorFunctionInverse
        Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const;

        // GeneratableCryptoMaterial
        bool Validate(RandomNumberGenerator &rng, unsigned int level) const;
        /*! parameters: (ModulusSize, PublicExponent (default 17)) */
        void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg);
        bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const;
        void AssignFrom(const NameValuePairs &source);

        // non-derived interface
        const Integer& GetPrime1() const {return m_p;}
        const Integer& GetPrime2() const {return m_q;}
        const Integer& GetPrivateExponent() const {return m_d;}
        const Integer& GetModPrime1PrivateExponent() const {return m_dp;}
        const Integer& GetModPrime2PrivateExponent() const {return m_dq;}
        const Integer& GetMultiplicativeInverseOfPrime2ModPrime1() const {return m_u;}

        void SetPrime1(const Integer &p) {m_p = p;}
        void SetPrime2(const Integer &q) {m_q = q;}
        void SetPrivateExponent(const Integer &d) {m_d = d;}
        void SetModPrime1PrivateExponent(const Integer &dp) {m_dp = dp;}
        void SetModPrime2PrivateExponent(const Integer &dq) {m_dq = dq;}
        void SetMultiplicativeInverseOfPrime2ModPrime1(const Integer &u) {m_u = u;}

protected:
        Integer m_d, m_p, m_q, m_dp, m_dq, m_u;
};

//! \class RSAFunction_ISO
//! \brief RSA trapdoor function using the public key
class CRYPTOPP_DLL RSAFunction_ISO : public RSAFunction
{
public:
        Integer ApplyFunction(const Integer &x) const;
        Integer PreimageBound() const {return ++(m_n>>1);}
};

//! \class InvertibleRSAFunction_ISO
//! \brief RSA trapdoor function using the private key
class CRYPTOPP_DLL InvertibleRSAFunction_ISO : public InvertibleRSAFunction
{
public:
        Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const;
        Integer PreimageBound() const {return ++(m_n>>1);}
};

//! \class RSA
//! \brief RSA algorithm
struct CRYPTOPP_DLL RSA
{
        CRYPTOPP_CONSTEXPR static const char * CRYPTOPP_API StaticAlgorithmName() {return "RSA";}
        typedef RSAFunction PublicKey;
        typedef InvertibleRSAFunction PrivateKey;
};

//! \class RSAES
//! \brief RSA encryption algorithm
//! \tparam STANDARD signature standard
//! \sa <a href="http://www.weidai.com/scan-mirror/ca.html#RSA">RSA cryptosystem</a>
template <class STANDARD>
struct RSAES : public TF_ES<STANDARD, RSA>
{
};

//! \class RSASS
//! \brief RSA signature algorithm
//! \tparam STANDARD signature standard
//! \tparam H hash transformation
//! \details See documentation of PKCS1v15 for a list of hash functions that can be used with it.
//! \sa <a href="http://www.weidai.com/scan-mirror/sig.html#RSA">RSA signature scheme with appendix</a>
template <class STANDARD, class H>
struct RSASS : public TF_SS<STANDARD, H, RSA>
{
};

//! \class RSA_ISO
//! \brief RSA algorithm
struct CRYPTOPP_DLL RSA_ISO
{
        CRYPTOPP_CONSTEXPR static const char * CRYPTOPP_API StaticAlgorithmName() {return "RSA-ISO";}
        typedef RSAFunction_ISO PublicKey;
        typedef InvertibleRSAFunction_ISO PrivateKey;
};

//! \class RSASS_ISO
//! \brief RSA signature algorithm
//! \tparam H hash transformation
template <class H>
struct RSASS_ISO : public TF_SS<P1363_EMSA2, H, RSA_ISO>
{
};

//! \brief \ref RSAES<STANDARD> "RSAES<PKCS1v15>::Decryptor" typedef
//! \details RSA encryption scheme defined in PKCS #1 v2.0
DOCUMENTED_TYPEDEF(RSAES<PKCS1v15>::Decryptor, RSAES_PKCS1v15_Decryptor);
//! \brief \ref RSAES<STANDARD> "RSAES<PKCS1v15>::Encryptor" typedef
//! \details RSA encryption scheme defined in PKCS #1 v2.0
DOCUMENTED_TYPEDEF(RSAES<PKCS1v15>::Encryptor, RSAES_PKCS1v15_Encryptor);

//! \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA>>::Decryptor" typedef
//! \details RSA encryption scheme defined in PKCS #1 v2.0
DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA> >::Decryptor, RSAES_OAEP_SHA_Decryptor);
//! \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA>>::Encryptor" typedef
//! \details RSA encryption scheme defined in PKCS #1 v2.0
DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA> >::Encryptor, RSAES_OAEP_SHA_Encryptor);

#ifdef CRYPTOPP_DOXYGEN_PROCESSING
//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA>::Signer" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_SHA_Signer : public RSASS<PKCS1v15,SHA>::Signer {};
//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA>::Verifier" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_SHA_Verifier : public RSASS<PKCS1v15,SHA>::Verifier {};

namespace Weak {

//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD2>::Signer" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_MD2_Signer : public RSASS<PKCS1v15, Weak1::MD2>::Signer {};
//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD2>::Verifier" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_MD2_Verifier : public RSASS<PKCS1v15, Weak1::MD2>::Verifier {};

//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD5>::Signer" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_MD5_Signer : public RSASS<PKCS1v15, Weak1::MD5>::Signer {};
//! \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD5>::Verifier" typedef
//! \details RSA signature schemes defined in PKCS #1 v2.0
class RSASSA_PKCS1v15_MD5_Verifier : public RSASS<PKCS1v15, Weak1::MD5>::Verifier {};
}

#else
typedef RSASS<PKCS1v15,SHA>::Signer RSASSA_PKCS1v15_SHA_Signer;
typedef RSASS<PKCS1v15,SHA>::Verifier RSASSA_PKCS1v15_SHA_Verifier;

namespace Weak {
        typedef RSASS<PKCS1v15, Weak1::MD2>::Signer RSASSA_PKCS1v15_MD2_Signer;
        typedef RSASS<PKCS1v15, Weak1::MD2>::Verifier RSASSA_PKCS1v15_MD2_Verifier;
        typedef RSASS<PKCS1v15, Weak1::MD5>::Signer RSASSA_PKCS1v15_MD5_Signer;
        typedef RSASS<PKCS1v15, Weak1::MD5>::Verifier RSASSA_PKCS1v15_MD5_Verifier;
}
#endif // CRYPTOPP_DOXYGEN_PROCESSING

NAMESPACE_END

#endif