#ifndef CRYPTOPP_GFPCRYPT_H #define CRYPTOPP_GFPCRYPT_H /** \file Implementation of schemes based on DL over GF(p) */ #include "pubkey.h" #include "modexppc.h" #include "sha.h" #include "algparam.h" #include "asn.h" #include "smartptr.h" #include "hmac.h" #include NAMESPACE_BEGIN(CryptoPP) CRYPTOPP_DLL_TEMPLATE_CLASS DL_GroupParameters; //! _ class CRYPTOPP_DLL CRYPTOPP_NO_VTABLE DL_GroupParameters_IntegerBased : public ASN1CryptoMaterial > { typedef DL_GroupParameters_IntegerBased ThisClass; public: void Initialize(const DL_GroupParameters_IntegerBased ¶ms) {Initialize(params.GetModulus(), params.GetSubgroupOrder(), params.GetSubgroupGenerator());} void Initialize(RandomNumberGenerator &rng, unsigned int pbits) {GenerateRandom(rng, MakeParameters("ModulusSize", (int)pbits));} void Initialize(const Integer &p, const Integer &g) {SetModulusAndSubgroupGenerator(p, g); SetSubgroupOrder(ComputeGroupOrder(p)/2);} void Initialize(const Integer &p, const Integer &q, const Integer &g) {SetModulusAndSubgroupGenerator(p, g); SetSubgroupOrder(q);} // ASN1Object interface void BERDecode(BufferedTransformation &bt); void DEREncode(BufferedTransformation &bt) const; // GeneratibleCryptoMaterial interface /*! parameters: (ModulusSize, SubgroupOrderSize (optional)) */ 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); // DL_GroupParameters const Integer & GetSubgroupOrder() const {return m_q;} Integer GetGroupOrder() const {return GetFieldType() == 1 ? GetModulus()-Integer::One() : GetModulus()+Integer::One();} bool ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const; bool ValidateElement(unsigned int level, const Integer &element, const DL_FixedBasePrecomputation *precomp) const; bool FastSubgroupCheckAvailable() const {return GetCofactor() == 2;} void EncodeElement(bool reversible, const Element &element, byte *encoded) const {element.Encode(encoded, GetModulus().ByteCount());} unsigned int GetEncodedElementSize(bool reversible) const {return GetModulus().ByteCount();} Integer DecodeElement(const byte *encoded, bool checkForGroupMembership) const; Integer ConvertElementToInteger(const Element &element) const {return element;} Integer GetMaxExponent() const; static std::string CRYPTOPP_API StaticAlgorithmNamePrefix() {return "";} OID GetAlgorithmID() const; virtual const Integer & GetModulus() const =0; virtual void SetModulusAndSubgroupGenerator(const Integer &p, const Integer &g) =0; void SetSubgroupOrder(const Integer &q) {m_q = q; ParametersChanged();} protected: Integer ComputeGroupOrder(const Integer &modulus) const {return modulus-(GetFieldType() == 1 ? 1 : -1);} // GF(p) = 1, GF(p^2) = 2 virtual int GetFieldType() const =0; virtual unsigned int GetDefaultSubgroupOrderSize(unsigned int modulusSize) const; private: Integer m_q; }; //! _ template > class CRYPTOPP_NO_VTABLE DL_GroupParameters_IntegerBasedImpl : public DL_GroupParametersImpl { typedef DL_GroupParameters_IntegerBasedImpl ThisClass; public: typedef typename GROUP_PRECOMP::Element Element; // GeneratibleCryptoMaterial interface bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const {return GetValueHelper(this, name, valueType, pValue).Assignable();} void AssignFrom(const NameValuePairs &source) {AssignFromHelper(this, source);} // DL_GroupParameters const DL_FixedBasePrecomputation & GetBasePrecomputation() const {return this->m_gpc;} DL_FixedBasePrecomputation & AccessBasePrecomputation() {return this->m_gpc;} // IntegerGroupParameters const Integer & GetModulus() const {return this->m_groupPrecomputation.GetModulus();} const Integer & GetGenerator() const {return this->m_gpc.GetBase(this->GetGroupPrecomputation());} void SetModulusAndSubgroupGenerator(const Integer &p, const Integer &g) // these have to be set together {this->m_groupPrecomputation.SetModulus(p); this->m_gpc.SetBase(this->GetGroupPrecomputation(), g); this->ParametersChanged();} // non-inherited bool operator==(const DL_GroupParameters_IntegerBasedImpl &rhs) const {return GetModulus() == rhs.GetModulus() && GetGenerator() == rhs.GetGenerator() && this->GetSubgroupOrder() == rhs.GetSubgroupOrder();} bool operator!=(const DL_GroupParameters_IntegerBasedImpl &rhs) const {return !operator==(rhs);} }; CRYPTOPP_DLL_TEMPLATE_CLASS DL_GroupParameters_IntegerBasedImpl; //! GF(p) group parameters class CRYPTOPP_DLL DL_GroupParameters_GFP : public DL_GroupParameters_IntegerBasedImpl { public: // DL_GroupParameters bool IsIdentity(const Integer &element) const {return element == Integer::One();} void SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const; // NameValuePairs interface bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const { return GetValueHelper(this, name, valueType, pValue).Assignable(); } // used by MQV Element MultiplyElements(const Element &a, const Element &b) const; Element CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const; protected: int GetFieldType() const {return 1;} }; //! GF(p) group parameters that default to same primes class CRYPTOPP_DLL DL_GroupParameters_GFP_DefaultSafePrime : public DL_GroupParameters_GFP { public: typedef NoCofactorMultiplication DefaultCofactorOption; protected: unsigned int GetDefaultSubgroupOrderSize(unsigned int modulusSize) const {return modulusSize-1;} }; //! GDSA algorithm template class DL_Algorithm_GDSA : public DL_ElgamalLikeSignatureAlgorithm { public: static const char * CRYPTOPP_API StaticAlgorithmName() {return "DSA-1363";} void Sign(const DL_GroupParameters ¶ms, const Integer &x, const Integer &k, const Integer &e, Integer &r, Integer &s) const { const Integer &q = params.GetSubgroupOrder(); r %= q; Integer kInv = k.InverseMod(q); s = (kInv * (x*r + e)) % q; assert(!!r && !!s); } bool Verify(const DL_GroupParameters ¶ms, const DL_PublicKey &publicKey, const Integer &e, const Integer &r, const Integer &s) const { const Integer &q = params.GetSubgroupOrder(); if (r>=q || r<1 || s>=q || s<1) return false; Integer w = s.InverseMod(q); Integer u1 = (e * w) % q; Integer u2 = (r * w) % q; // verify r == (g^u1 * y^u2 mod p) mod q return r == params.ConvertElementToInteger(publicKey.CascadeExponentiateBaseAndPublicElement(u1, u2)) % q; } }; CRYPTOPP_DLL_TEMPLATE_CLASS DL_Algorithm_GDSA; //! NR algorithm template class DL_Algorithm_NR : public DL_ElgamalLikeSignatureAlgorithm { public: static const char * CRYPTOPP_API StaticAlgorithmName() {return "NR";} void Sign(const DL_GroupParameters ¶ms, const Integer &x, const Integer &k, const Integer &e, Integer &r, Integer &s) const { const Integer &q = params.GetSubgroupOrder(); r = (r + e) % q; s = (k - x*r) % q; assert(!!r); } bool Verify(const DL_GroupParameters ¶ms, const DL_PublicKey &publicKey, const Integer &e, const Integer &r, const Integer &s) const { const Integer &q = params.GetSubgroupOrder(); if (r>=q || r<1 || s>=q) return false; // check r == (m_g^s * m_y^r + m) mod m_q return r == (params.ConvertElementToInteger(publicKey.CascadeExponentiateBaseAndPublicElement(s, r)) + e) % q; } }; /*! DSA public key format is defined in 7.3.3 of RFC 2459. The private key format is defined in 12.9 of PKCS #11 v2.10. */ template class DL_PublicKey_GFP : public DL_PublicKeyImpl { public: void Initialize(const DL_GroupParameters_IntegerBased ¶ms, const Integer &y) {this->AccessGroupParameters().Initialize(params); this->SetPublicElement(y);} void Initialize(const Integer &p, const Integer &g, const Integer &y) {this->AccessGroupParameters().Initialize(p, g); this->SetPublicElement(y);} void Initialize(const Integer &p, const Integer &q, const Integer &g, const Integer &y) {this->AccessGroupParameters().Initialize(p, q, g); this->SetPublicElement(y);} // X509PublicKey void BERDecodePublicKey(BufferedTransformation &bt, bool, size_t) {this->SetPublicElement(Integer(bt));} void DEREncodePublicKey(BufferedTransformation &bt) const {this->GetPublicElement().DEREncode(bt);} }; //! DL private key (in GF(p) groups) template class DL_PrivateKey_GFP : public DL_PrivateKeyImpl { public: void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits) {this->GenerateRandomWithKeySize(rng, modulusBits);} void Initialize(RandomNumberGenerator &rng, const Integer &p, const Integer &g) {this->GenerateRandom(rng, MakeParameters("Modulus", p)("SubgroupGenerator", g));} void Initialize(RandomNumberGenerator &rng, const Integer &p, const Integer &q, const Integer &g) {this->GenerateRandom(rng, MakeParameters("Modulus", p)("SubgroupOrder", q)("SubgroupGenerator", g));} void Initialize(const DL_GroupParameters_IntegerBased ¶ms, const Integer &x) {this->AccessGroupParameters().Initialize(params); this->SetPrivateExponent(x);} void Initialize(const Integer &p, const Integer &g, const Integer &x) {this->AccessGroupParameters().Initialize(p, g); this->SetPrivateExponent(x);} void Initialize(const Integer &p, const Integer &q, const Integer &g, const Integer &x) {this->AccessGroupParameters().Initialize(p, q, g); this->SetPrivateExponent(x);} }; //! DL signing/verification keys (in GF(p) groups) struct DL_SignatureKeys_GFP { typedef DL_GroupParameters_GFP GroupParameters; typedef DL_PublicKey_GFP PublicKey; typedef DL_PrivateKey_GFP PrivateKey; }; //! DL encryption/decryption keys (in GF(p) groups) struct DL_CryptoKeys_GFP { typedef DL_GroupParameters_GFP_DefaultSafePrime GroupParameters; typedef DL_PublicKey_GFP PublicKey; typedef DL_PrivateKey_GFP PrivateKey; }; //! provided for backwards compatibility, this class uses the old non-standard Crypto++ key format template class DL_PublicKey_GFP_OldFormat : public BASE { public: void BERDecode(BufferedTransformation &bt) { BERSequenceDecoder seq(bt); Integer v1(seq); Integer v2(seq); Integer v3(seq); if (seq.EndReached()) { this->AccessGroupParameters().Initialize(v1, v1/2, v2); this->SetPublicElement(v3); } else { Integer v4(seq); this->AccessGroupParameters().Initialize(v1, v2, v3); this->SetPublicElement(v4); } seq.MessageEnd(); } void DEREncode(BufferedTransformation &bt) const { DERSequenceEncoder seq(bt); this->GetGroupParameters().GetModulus().DEREncode(seq); if (this->GetGroupParameters().GetCofactor() != 2) this->GetGroupParameters().GetSubgroupOrder().DEREncode(seq); this->GetGroupParameters().GetGenerator().DEREncode(seq); this->GetPublicElement().DEREncode(seq); seq.MessageEnd(); } }; //! provided for backwards compatibility, this class uses the old non-standard Crypto++ key format template class DL_PrivateKey_GFP_OldFormat : public BASE { public: void BERDecode(BufferedTransformation &bt) { BERSequenceDecoder seq(bt); Integer v1(seq); Integer v2(seq); Integer v3(seq); Integer v4(seq); if (seq.EndReached()) { this->AccessGroupParameters().Initialize(v1, v1/2, v2); this->SetPrivateExponent(v4 % (v1/2)); // some old keys may have x >= q } else { Integer v5(seq); this->AccessGroupParameters().Initialize(v1, v2, v3); this->SetPrivateExponent(v5); } seq.MessageEnd(); } void DEREncode(BufferedTransformation &bt) const { DERSequenceEncoder seq(bt); this->GetGroupParameters().GetModulus().DEREncode(seq); if (this->GetGroupParameters().GetCofactor() != 2) this->GetGroupParameters().GetSubgroupOrder().DEREncode(seq); this->GetGroupParameters().GetGenerator().DEREncode(seq); this->GetGroupParameters().ExponentiateBase(this->GetPrivateExponent()).DEREncode(seq); this->GetPrivateExponent().DEREncode(seq); seq.MessageEnd(); } }; //! DSA-1363 template struct GDSA : public DL_SS< DL_SignatureKeys_GFP, DL_Algorithm_GDSA, DL_SignatureMessageEncodingMethod_DSA, H> { }; //! NR template struct NR : public DL_SS< DL_SignatureKeys_GFP, DL_Algorithm_NR, DL_SignatureMessageEncodingMethod_NR, H> { }; //! DSA group parameters, these are GF(p) group parameters that are allowed by the DSA standard class CRYPTOPP_DLL DL_GroupParameters_DSA : public DL_GroupParameters_GFP { public: /*! also checks that the lengths of p and q are allowed by the DSA standard */ bool ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const; /*! parameters: (ModulusSize), or (Modulus, SubgroupOrder, SubgroupGenerator) */ /*! ModulusSize must be between DSA::MIN_PRIME_LENGTH and DSA::MAX_PRIME_LENGTH, and divisible by DSA::PRIME_LENGTH_MULTIPLE */ void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg); static bool CRYPTOPP_API IsValidPrimeLength(unsigned int pbits) {return pbits >= MIN_PRIME_LENGTH && pbits <= MAX_PRIME_LENGTH && pbits % PRIME_LENGTH_MULTIPLE == 0;} enum {MIN_PRIME_LENGTH = 1024, MAX_PRIME_LENGTH = 3072, PRIME_LENGTH_MULTIPLE = 1024}; }; template class DSA2; //! DSA keys struct DL_Keys_DSA { typedef DL_PublicKey_GFP PublicKey; typedef DL_PrivateKey_WithSignaturePairwiseConsistencyTest, DSA2 > PrivateKey; }; //! DSA, as specified in FIPS 186-3 // class named DSA2 instead of DSA for backwards compatibility (DSA was a non-template class) template class DSA2 : public DL_SS< DL_Keys_DSA, DL_Algorithm_GDSA, DL_SignatureMessageEncodingMethod_DSA, H, DSA2 > { public: static std::string CRYPTOPP_API StaticAlgorithmName() {return "DSA/" + (std::string)H::StaticAlgorithmName();} }; //! DSA with SHA-1, typedef'd for backwards compatibility typedef DSA2 DSA; CRYPTOPP_DLL_TEMPLATE_CLASS DL_PublicKey_GFP; CRYPTOPP_DLL_TEMPLATE_CLASS DL_PrivateKey_GFP; CRYPTOPP_DLL_TEMPLATE_CLASS DL_PrivateKey_WithSignaturePairwiseConsistencyTest, DSA2 >; //! the XOR encryption method, for use with DL-based cryptosystems template class DL_EncryptionAlgorithm_Xor : public DL_SymmetricEncryptionAlgorithm { public: bool ParameterSupported(const char *name) const {return strcmp(name, Name::EncodingParameters()) == 0;} size_t GetSymmetricKeyLength(size_t plaintextLength) const {return plaintextLength + MAC::DEFAULT_KEYLENGTH;} size_t GetSymmetricCiphertextLength(size_t plaintextLength) const {return plaintextLength + MAC::DIGESTSIZE;} size_t GetMaxSymmetricPlaintextLength(size_t ciphertextLength) const {return (unsigned int)SaturatingSubtract(ciphertextLength, (unsigned int)MAC::DIGESTSIZE);} void SymmetricEncrypt(RandomNumberGenerator &rng, const byte *key, const byte *plaintext, size_t plaintextLength, byte *ciphertext, const NameValuePairs ¶meters) const { const byte *cipherKey, *macKey; if (DHAES_MODE) { macKey = key; cipherKey = key + MAC::DEFAULT_KEYLENGTH; } else { cipherKey = key; macKey = key + plaintextLength; } ConstByteArrayParameter encodingParameters; parameters.GetValue(Name::EncodingParameters(), encodingParameters); xorbuf(ciphertext, plaintext, cipherKey, plaintextLength); MAC mac(macKey); mac.Update(ciphertext, plaintextLength); mac.Update(encodingParameters.begin(), encodingParameters.size()); if (DHAES_MODE) { byte L[8] = {0,0,0,0}; PutWord(false, BIG_ENDIAN_ORDER, L+4, word32(encodingParameters.size())); mac.Update(L, 8); } mac.Final(ciphertext + plaintextLength); } DecodingResult SymmetricDecrypt(const byte *key, const byte *ciphertext, size_t ciphertextLength, byte *plaintext, const NameValuePairs ¶meters) const { size_t plaintextLength = GetMaxSymmetricPlaintextLength(ciphertextLength); const byte *cipherKey, *macKey; if (DHAES_MODE) { macKey = key; cipherKey = key + MAC::DEFAULT_KEYLENGTH; } else { cipherKey = key; macKey = key + plaintextLength; } ConstByteArrayParameter encodingParameters; parameters.GetValue(Name::EncodingParameters(), encodingParameters); MAC mac(macKey); mac.Update(ciphertext, plaintextLength); mac.Update(encodingParameters.begin(), encodingParameters.size()); if (DHAES_MODE) { byte L[8] = {0,0,0,0}; PutWord(false, BIG_ENDIAN_ORDER, L+4, word32(encodingParameters.size())); mac.Update(L, 8); } if (!mac.Verify(ciphertext + plaintextLength)) return DecodingResult(); xorbuf(plaintext, ciphertext, cipherKey, plaintextLength); return DecodingResult(plaintextLength); } }; //! _ template class DL_KeyDerivationAlgorithm_P1363 : public DL_KeyDerivationAlgorithm { public: bool ParameterSupported(const char *name) const {return strcmp(name, Name::KeyDerivationParameters()) == 0;} void Derive(const DL_GroupParameters ¶ms, byte *derivedKey, size_t derivedLength, const T &agreedElement, const T &ephemeralPublicKey, const NameValuePairs ¶meters) const { SecByteBlock agreedSecret; if (DHAES_MODE) { agreedSecret.New(params.GetEncodedElementSize(true) + params.GetEncodedElementSize(false)); params.EncodeElement(true, ephemeralPublicKey, agreedSecret); params.EncodeElement(false, agreedElement, agreedSecret + params.GetEncodedElementSize(true)); } else { agreedSecret.New(params.GetEncodedElementSize(false)); params.EncodeElement(false, agreedElement, agreedSecret); } ConstByteArrayParameter derivationParameters; parameters.GetValue(Name::KeyDerivationParameters(), derivationParameters); KDF::DeriveKey(derivedKey, derivedLength, agreedSecret, agreedSecret.size(), derivationParameters.begin(), derivationParameters.size()); } }; //! Discrete Log Integrated Encryption Scheme, AKA DLIES template struct DLIES : public DL_ES< DL_CryptoKeys_GFP, DL_KeyAgreementAlgorithm_DH, DL_KeyDerivationAlgorithm_P1363 >, DL_EncryptionAlgorithm_Xor, DHAES_MODE>, DLIES<> > { static std::string CRYPTOPP_API StaticAlgorithmName() {return "DLIES";} // TODO: fix this after name is standardized }; NAMESPACE_END #endif