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author | Jeffrey Walton <noloader@gmail.com> | 2016-07-13 15:47:58 -0400 |
---|---|---|
committer | Jeffrey Walton <noloader@gmail.com> | 2016-07-13 15:47:58 -0400 |
commit | e9b11b8e08e274ffa80ce2e921ca46b0ec6237f4 (patch) | |
tree | a5187662702dd306539031951ca466bc7069fbdd /hmqv.h | |
parent | 19763c33a8aee1af142a5cab2278736f75aa88fd (diff) | |
download | cryptopp-git-e9b11b8e08e274ffa80ce2e921ca46b0ec6237f4.tar.gz |
Whitespace
Diffstat (limited to 'hmqv.h')
-rw-r--r-- | hmqv.h | 606 |
1 files changed, 303 insertions, 303 deletions
@@ -1,303 +1,303 @@ -// hmqv.h - written and placed in the public domain by Uri Blumenthal -// Shamelessly based upon Jeffrey Walton's FHMQV and Wei Dai's MQV source files - -#ifndef CRYPTOPP_HMQV_H -#define CRYPTOPP_HMQV_H - -/** \file -*/ - -#include "gfpcrypt.h" -#include "algebra.h" -#include "sha.h" - -NAMESPACE_BEGIN(CryptoPP) - -//! Hashed Menezes-Qu-Vanstone in GF(p) with key validation, -/*! <a href="http://eprint.iacr.org/2005/176">HMQV: A High-Performance Secure Diffie-Hellman Protocol</a> - Note: this implements HMQV only. HMQV-C (with Key Confirmation) will be provided separately. -*/ -template <class GROUP_PARAMETERS, class COFACTOR_OPTION = CPP_TYPENAME GROUP_PARAMETERS::DefaultCofactorOption, class HASH = SHA512> -class HMQV_Domain: public AuthenticatedKeyAgreementDomain -{ -public: - typedef GROUP_PARAMETERS GroupParameters; - typedef typename GroupParameters::Element Element; - typedef HMQV_Domain<GROUP_PARAMETERS, COFACTOR_OPTION, HASH> Domain; - - HMQV_Domain(bool clientRole = true): m_role(clientRole ? RoleClient : RoleServer) {} - - HMQV_Domain(const GroupParameters ¶ms, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer), m_groupParameters(params) {} - - HMQV_Domain(BufferedTransformation &bt, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer) - {m_groupParameters.BERDecode(bt);} - - template <class T1> - HMQV_Domain(T1 v1, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer) - {m_groupParameters.Initialize(v1);} - - template <class T1, class T2> - HMQV_Domain(T1 v1, T2 v2, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer) - {m_groupParameters.Initialize(v1, v2);} - - template <class T1, class T2, class T3> - HMQV_Domain(T1 v1, T2 v2, T3 v3, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer) - {m_groupParameters.Initialize(v1, v2, v3);} - - template <class T1, class T2, class T3, class T4> - HMQV_Domain(T1 v1, T2 v2, T3 v3, T4 v4, bool clientRole = true) - : m_role(clientRole ? RoleClient : RoleServer) - {m_groupParameters.Initialize(v1, v2, v3, v4);} - -protected: - // Hash invocation by client and server differ only in what keys - // each provides. - - inline void Hash(const Element* sigma, - const byte* e1, size_t e1len, // Ephemeral key and key length - const byte* s1, size_t s1len, // Static key and key length - byte* digest, size_t dlen) const - { - HASH hash; - size_t idx = 0, req = dlen; - size_t blk = std::min(dlen, (size_t)HASH::DIGESTSIZE); - - if(sigma) - { - if (e1len != 0 || s1len != 0) { - assert(0); - } - Integer x = GetAbstractGroupParameters().ConvertElementToInteger(*sigma); - SecByteBlock sbb(x.MinEncodedSize()); - x.Encode(sbb.BytePtr(), sbb.SizeInBytes()); - hash.Update(sbb.BytePtr(), sbb.SizeInBytes()); - } else { - if (e1len == 0 || s1len == 0) { - assert(0); - } - hash.Update(e1, e1len); - hash.Update(s1, s1len); - } - - hash.TruncatedFinal(digest, blk); - req -= blk; - - // All this to catch tail bytes for large curves and small hashes - while(req != 0) - { - hash.Update(&digest[idx], (size_t)HASH::DIGESTSIZE); - - idx += (size_t)HASH::DIGESTSIZE; - blk = std::min(req, (size_t)HASH::DIGESTSIZE); - hash.TruncatedFinal(&digest[idx], blk); - - req -= blk; - } - } - -public: - - const GroupParameters & GetGroupParameters() const {return m_groupParameters;} - GroupParameters & AccessGroupParameters(){return m_groupParameters;} - - CryptoParameters & AccessCryptoParameters(){return AccessAbstractGroupParameters();} - - //! return length of agreed value produced - unsigned int AgreedValueLength() const {return GetAbstractGroupParameters().GetEncodedElementSize(false);} - //! return length of static private keys in this domain - unsigned int StaticPrivateKeyLength() const {return GetAbstractGroupParameters().GetSubgroupOrder().ByteCount();} - //! return length of static public keys in this domain - unsigned int StaticPublicKeyLength() const{return GetAbstractGroupParameters().GetEncodedElementSize(true);} - - //! generate static private key - /*! \pre size of privateKey == PrivateStaticKeyLength() */ - void GenerateStaticPrivateKey(RandomNumberGenerator &rng, byte *privateKey) const - { - Integer x(rng, Integer::One(), GetAbstractGroupParameters().GetMaxExponent()); - x.Encode(privateKey, StaticPrivateKeyLength()); - } - - //! generate static public key - /*! \pre size of publicKey == PublicStaticKeyLength() */ - void GenerateStaticPublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const - { - const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters(); - Integer x(privateKey, StaticPrivateKeyLength()); - Element y = params.ExponentiateBase(x); - params.EncodeElement(true, y, publicKey); - } - - unsigned int EphemeralPrivateKeyLength() const {return StaticPrivateKeyLength() + StaticPublicKeyLength();} - unsigned int EphemeralPublicKeyLength() const{return StaticPublicKeyLength();} - - //! return length of ephemeral private keys in this domain - void GenerateEphemeralPrivateKey(RandomNumberGenerator &rng, byte *privateKey) const - { - const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters(); - Integer x(rng, Integer::One(), params.GetMaxExponent()); - x.Encode(privateKey, StaticPrivateKeyLength()); - Element y = params.ExponentiateBase(x); - params.EncodeElement(true, y, privateKey+StaticPrivateKeyLength()); - } - - //! return length of ephemeral public keys in this domain - void GenerateEphemeralPublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const - { - memcpy(publicKey, privateKey+StaticPrivateKeyLength(), EphemeralPublicKeyLength()); - } - - //! derive agreed value from your private keys and couterparty's public keys, return false in case of failure - /*! \note The ephemeral public key will always be validated. - If you have previously validated the static public key, use validateStaticOtherPublicKey=false to save time. - \pre size of agreedValue == AgreedValueLength() - \pre length of staticPrivateKey == StaticPrivateKeyLength() - \pre length of ephemeralPrivateKey == EphemeralPrivateKeyLength() - \pre length of staticOtherPublicKey == StaticPublicKeyLength() - \pre length of ephemeralOtherPublicKey == EphemeralPublicKeyLength() - */ - bool Agree(byte *agreedValue, - const byte *staticPrivateKey, const byte *ephemeralPrivateKey, - const byte *staticOtherPublicKey, const byte *ephemeralOtherPublicKey, - bool validateStaticOtherPublicKey=true) const - { - byte *XX = NULL, *YY = NULL, *AA = NULL, *BB = NULL; - size_t xxs = 0, yys = 0, aas = 0, bbs = 0; - - // Depending on the role, this will hold either A's or B's static - // (long term) public key. AA or BB will then point into tt. - SecByteBlock tt(StaticPublicKeyLength()); - - try - { - const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters(); - - if(m_role == RoleServer) - { - Integer b(staticPrivateKey, StaticPrivateKeyLength()); - Element B = params.ExponentiateBase(b); - params.EncodeElement(true, B, tt); - - XX = const_cast<byte*>(ephemeralOtherPublicKey); - xxs = EphemeralPublicKeyLength(); - YY = const_cast<byte*>(ephemeralPrivateKey) + StaticPrivateKeyLength(); - yys = EphemeralPublicKeyLength(); - AA = const_cast<byte*>(staticOtherPublicKey); - aas = StaticPublicKeyLength(); - BB = tt.BytePtr(); - bbs = tt.SizeInBytes(); - } - else if(m_role == RoleClient) - { - Integer a(staticPrivateKey, StaticPrivateKeyLength()); - Element A = params.ExponentiateBase(a); - params.EncodeElement(true, A, tt); - - XX = const_cast<byte*>(ephemeralPrivateKey) + StaticPrivateKeyLength(); - xxs = EphemeralPublicKeyLength(); - YY = const_cast<byte*>(ephemeralOtherPublicKey); - yys = EphemeralPublicKeyLength(); - AA = tt.BytePtr(); - aas = tt.SizeInBytes(); - BB = const_cast<byte*>(staticOtherPublicKey); - bbs = StaticPublicKeyLength(); - } - else - { - assert(0); - return false; - } - - // DecodeElement calls ValidateElement at level 1. Level 1 only calls - // VerifyPoint to ensure the element is in G*. If the other's PublicKey is - // requested to be validated, we manually call ValidateElement at level 3. - Element VV1 = params.DecodeElement(staticOtherPublicKey, false); - if(!params.ValidateElement(validateStaticOtherPublicKey ? 3 : 1, VV1, NULL)) - return false; - - // DecodeElement calls ValidateElement at level 1. Level 1 only calls - // VerifyPoint to ensure the element is in G*. Crank it up. - Element VV2 = params.DecodeElement(ephemeralOtherPublicKey, false); - if(!params.ValidateElement(3, VV2, NULL)) - return false; - -// const Integer& p = params.GetGroupOrder(); // not used, remove later - const Integer& q = params.GetSubgroupOrder(); - const unsigned int len /*bytes*/ = (((q.BitCount()+1)/2 +7)/8); - - Integer d, e; - SecByteBlock dd(len), ee(len); - - // Compute $d = \hat{H}(X, \hat{B})$ - Hash(NULL, XX, xxs, BB, bbs, dd.BytePtr(), dd.SizeInBytes()); - d.Decode(dd.BytePtr(), dd.SizeInBytes()); - - // Compute $e = \hat{H}(Y, \hat{A})$ - Hash(NULL, YY, yys, AA, aas, ee.BytePtr(), ee.SizeInBytes()); - e.Decode(ee.BytePtr(), ee.SizeInBytes()); - - Element sigma; - if(m_role == RoleServer) - { - Integer y(ephemeralPrivateKey, StaticPrivateKeyLength()); - Integer b(staticPrivateKey, StaticPrivateKeyLength()); - Integer s_B = (y + e * b) % q; - - Element A = params.DecodeElement(AA, false); - Element X = params.DecodeElement(XX, false); - - Element t1 = params.ExponentiateElement(A, d); - Element t2 = m_groupParameters.MultiplyElements(X, t1); - - // $\sigma_B}=(X \cdot A^{d})^{s_B} - sigma = params.ExponentiateElement(t2, s_B); - } - else - { - Integer x(ephemeralPrivateKey, StaticPrivateKeyLength()); - Integer a(staticPrivateKey, StaticPrivateKeyLength()); - Integer s_A = (x + d * a) % q; - - Element B = params.DecodeElement(BB, false); - Element Y = params.DecodeElement(YY, false); - - Element t1 = params.ExponentiateElement(B, e); - Element t2 = m_groupParameters.MultiplyElements(Y, t1); - - // $\sigma_A}=(Y \cdot B^{e})^{s_A} - sigma = params.ExponentiateElement(t2, s_A); - } - Hash(&sigma, NULL, 0, NULL, 0, agreedValue, AgreedValueLength()); - } - catch (DL_BadElement &) - { - return false; - } - return true; - } - -private: - - // The paper uses Initiator and Recipient - make it classical. - enum KeyAgreementRole{ RoleServer = 1, RoleClient }; - - DL_GroupParameters<Element> & AccessAbstractGroupParameters() {return m_groupParameters;} - const DL_GroupParameters<Element> & GetAbstractGroupParameters() const{return m_groupParameters;} - - KeyAgreementRole m_role; - GroupParameters m_groupParameters; -}; - -//! Hashed Menezes-Qu-Vanstone in GF(p) with key validation, -/*! <a href="http://eprint.iacr.org/2005/176">HMQV: A High-Performance Secure Diffie-Hellman Protocol</a> - Note: this implements HMQV only. HMQV-C (with Key Confirmation) will be provided separately. -*/ -typedef HMQV_Domain<DL_GroupParameters_GFP_DefaultSafePrime> HashedMQV; - -NAMESPACE_END - -#endif +// hmqv.h - written and placed in the public domain by Uri Blumenthal
+// Shamelessly based upon Jeffrey Walton's FHMQV and Wei Dai's MQV source files
+
+#ifndef CRYPTOPP_HMQV_H
+#define CRYPTOPP_HMQV_H
+
+/** \file
+*/
+
+#include "gfpcrypt.h"
+#include "algebra.h"
+#include "sha.h"
+
+NAMESPACE_BEGIN(CryptoPP)
+
+//! Hashed Menezes-Qu-Vanstone in GF(p) with key validation,
+/*! <a href="http://eprint.iacr.org/2005/176">HMQV: A High-Performance Secure Diffie-Hellman Protocol</a>
+ Note: this implements HMQV only. HMQV-C (with Key Confirmation) will be provided separately.
+*/
+template <class GROUP_PARAMETERS, class COFACTOR_OPTION = CPP_TYPENAME GROUP_PARAMETERS::DefaultCofactorOption, class HASH = SHA512>
+class HMQV_Domain: public AuthenticatedKeyAgreementDomain
+{
+public:
+ typedef GROUP_PARAMETERS GroupParameters;
+ typedef typename GroupParameters::Element Element;
+ typedef HMQV_Domain<GROUP_PARAMETERS, COFACTOR_OPTION, HASH> Domain;
+
+ HMQV_Domain(bool clientRole = true): m_role(clientRole ? RoleClient : RoleServer) {}
+
+ HMQV_Domain(const GroupParameters ¶ms, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer), m_groupParameters(params) {}
+
+ HMQV_Domain(BufferedTransformation &bt, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer)
+ {m_groupParameters.BERDecode(bt);}
+
+ template <class T1>
+ HMQV_Domain(T1 v1, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer)
+ {m_groupParameters.Initialize(v1);}
+
+ template <class T1, class T2>
+ HMQV_Domain(T1 v1, T2 v2, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer)
+ {m_groupParameters.Initialize(v1, v2);}
+
+ template <class T1, class T2, class T3>
+ HMQV_Domain(T1 v1, T2 v2, T3 v3, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer)
+ {m_groupParameters.Initialize(v1, v2, v3);}
+
+ template <class T1, class T2, class T3, class T4>
+ HMQV_Domain(T1 v1, T2 v2, T3 v3, T4 v4, bool clientRole = true)
+ : m_role(clientRole ? RoleClient : RoleServer)
+ {m_groupParameters.Initialize(v1, v2, v3, v4);}
+
+protected:
+ // Hash invocation by client and server differ only in what keys
+ // each provides.
+
+ inline void Hash(const Element* sigma,
+ const byte* e1, size_t e1len, // Ephemeral key and key length
+ const byte* s1, size_t s1len, // Static key and key length
+ byte* digest, size_t dlen) const
+ {
+ HASH hash;
+ size_t idx = 0, req = dlen;
+ size_t blk = std::min(dlen, (size_t)HASH::DIGESTSIZE);
+
+ if(sigma)
+ {
+ if (e1len != 0 || s1len != 0) {
+ assert(0);
+ }
+ Integer x = GetAbstractGroupParameters().ConvertElementToInteger(*sigma);
+ SecByteBlock sbb(x.MinEncodedSize());
+ x.Encode(sbb.BytePtr(), sbb.SizeInBytes());
+ hash.Update(sbb.BytePtr(), sbb.SizeInBytes());
+ } else {
+ if (e1len == 0 || s1len == 0) {
+ assert(0);
+ }
+ hash.Update(e1, e1len);
+ hash.Update(s1, s1len);
+ }
+
+ hash.TruncatedFinal(digest, blk);
+ req -= blk;
+
+ // All this to catch tail bytes for large curves and small hashes
+ while(req != 0)
+ {
+ hash.Update(&digest[idx], (size_t)HASH::DIGESTSIZE);
+
+ idx += (size_t)HASH::DIGESTSIZE;
+ blk = std::min(req, (size_t)HASH::DIGESTSIZE);
+ hash.TruncatedFinal(&digest[idx], blk);
+
+ req -= blk;
+ }
+ }
+
+public:
+
+ const GroupParameters & GetGroupParameters() const {return m_groupParameters;}
+ GroupParameters & AccessGroupParameters(){return m_groupParameters;}
+
+ CryptoParameters & AccessCryptoParameters(){return AccessAbstractGroupParameters();}
+
+ //! return length of agreed value produced
+ unsigned int AgreedValueLength() const {return GetAbstractGroupParameters().GetEncodedElementSize(false);}
+ //! return length of static private keys in this domain
+ unsigned int StaticPrivateKeyLength() const {return GetAbstractGroupParameters().GetSubgroupOrder().ByteCount();}
+ //! return length of static public keys in this domain
+ unsigned int StaticPublicKeyLength() const{return GetAbstractGroupParameters().GetEncodedElementSize(true);}
+
+ //! generate static private key
+ /*! \pre size of privateKey == PrivateStaticKeyLength() */
+ void GenerateStaticPrivateKey(RandomNumberGenerator &rng, byte *privateKey) const
+ {
+ Integer x(rng, Integer::One(), GetAbstractGroupParameters().GetMaxExponent());
+ x.Encode(privateKey, StaticPrivateKeyLength());
+ }
+
+ //! generate static public key
+ /*! \pre size of publicKey == PublicStaticKeyLength() */
+ void GenerateStaticPublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const
+ {
+ const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters();
+ Integer x(privateKey, StaticPrivateKeyLength());
+ Element y = params.ExponentiateBase(x);
+ params.EncodeElement(true, y, publicKey);
+ }
+
+ unsigned int EphemeralPrivateKeyLength() const {return StaticPrivateKeyLength() + StaticPublicKeyLength();}
+ unsigned int EphemeralPublicKeyLength() const{return StaticPublicKeyLength();}
+
+ //! return length of ephemeral private keys in this domain
+ void GenerateEphemeralPrivateKey(RandomNumberGenerator &rng, byte *privateKey) const
+ {
+ const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters();
+ Integer x(rng, Integer::One(), params.GetMaxExponent());
+ x.Encode(privateKey, StaticPrivateKeyLength());
+ Element y = params.ExponentiateBase(x);
+ params.EncodeElement(true, y, privateKey+StaticPrivateKeyLength());
+ }
+
+ //! return length of ephemeral public keys in this domain
+ void GenerateEphemeralPublicKey(RandomNumberGenerator &rng, const byte *privateKey, byte *publicKey) const
+ {
+ memcpy(publicKey, privateKey+StaticPrivateKeyLength(), EphemeralPublicKeyLength());
+ }
+
+ //! derive agreed value from your private keys and couterparty's public keys, return false in case of failure
+ /*! \note The ephemeral public key will always be validated.
+ If you have previously validated the static public key, use validateStaticOtherPublicKey=false to save time.
+ \pre size of agreedValue == AgreedValueLength()
+ \pre length of staticPrivateKey == StaticPrivateKeyLength()
+ \pre length of ephemeralPrivateKey == EphemeralPrivateKeyLength()
+ \pre length of staticOtherPublicKey == StaticPublicKeyLength()
+ \pre length of ephemeralOtherPublicKey == EphemeralPublicKeyLength()
+ */
+ bool Agree(byte *agreedValue,
+ const byte *staticPrivateKey, const byte *ephemeralPrivateKey,
+ const byte *staticOtherPublicKey, const byte *ephemeralOtherPublicKey,
+ bool validateStaticOtherPublicKey=true) const
+ {
+ byte *XX = NULL, *YY = NULL, *AA = NULL, *BB = NULL;
+ size_t xxs = 0, yys = 0, aas = 0, bbs = 0;
+
+ // Depending on the role, this will hold either A's or B's static
+ // (long term) public key. AA or BB will then point into tt.
+ SecByteBlock tt(StaticPublicKeyLength());
+
+ try
+ {
+ const DL_GroupParameters<Element> ¶ms = GetAbstractGroupParameters();
+
+ if(m_role == RoleServer)
+ {
+ Integer b(staticPrivateKey, StaticPrivateKeyLength());
+ Element B = params.ExponentiateBase(b);
+ params.EncodeElement(true, B, tt);
+
+ XX = const_cast<byte*>(ephemeralOtherPublicKey);
+ xxs = EphemeralPublicKeyLength();
+ YY = const_cast<byte*>(ephemeralPrivateKey) + StaticPrivateKeyLength();
+ yys = EphemeralPublicKeyLength();
+ AA = const_cast<byte*>(staticOtherPublicKey);
+ aas = StaticPublicKeyLength();
+ BB = tt.BytePtr();
+ bbs = tt.SizeInBytes();
+ }
+ else if(m_role == RoleClient)
+ {
+ Integer a(staticPrivateKey, StaticPrivateKeyLength());
+ Element A = params.ExponentiateBase(a);
+ params.EncodeElement(true, A, tt);
+
+ XX = const_cast<byte*>(ephemeralPrivateKey) + StaticPrivateKeyLength();
+ xxs = EphemeralPublicKeyLength();
+ YY = const_cast<byte*>(ephemeralOtherPublicKey);
+ yys = EphemeralPublicKeyLength();
+ AA = tt.BytePtr();
+ aas = tt.SizeInBytes();
+ BB = const_cast<byte*>(staticOtherPublicKey);
+ bbs = StaticPublicKeyLength();
+ }
+ else
+ {
+ assert(0);
+ return false;
+ }
+
+ // DecodeElement calls ValidateElement at level 1. Level 1 only calls
+ // VerifyPoint to ensure the element is in G*. If the other's PublicKey is
+ // requested to be validated, we manually call ValidateElement at level 3.
+ Element VV1 = params.DecodeElement(staticOtherPublicKey, false);
+ if(!params.ValidateElement(validateStaticOtherPublicKey ? 3 : 1, VV1, NULL))
+ return false;
+
+ // DecodeElement calls ValidateElement at level 1. Level 1 only calls
+ // VerifyPoint to ensure the element is in G*. Crank it up.
+ Element VV2 = params.DecodeElement(ephemeralOtherPublicKey, false);
+ if(!params.ValidateElement(3, VV2, NULL))
+ return false;
+
+// const Integer& p = params.GetGroupOrder(); // not used, remove later
+ const Integer& q = params.GetSubgroupOrder();
+ const unsigned int len /*bytes*/ = (((q.BitCount()+1)/2 +7)/8);
+
+ Integer d, e;
+ SecByteBlock dd(len), ee(len);
+
+ // Compute $d = \hat{H}(X, \hat{B})$
+ Hash(NULL, XX, xxs, BB, bbs, dd.BytePtr(), dd.SizeInBytes());
+ d.Decode(dd.BytePtr(), dd.SizeInBytes());
+
+ // Compute $e = \hat{H}(Y, \hat{A})$
+ Hash(NULL, YY, yys, AA, aas, ee.BytePtr(), ee.SizeInBytes());
+ e.Decode(ee.BytePtr(), ee.SizeInBytes());
+
+ Element sigma;
+ if(m_role == RoleServer)
+ {
+ Integer y(ephemeralPrivateKey, StaticPrivateKeyLength());
+ Integer b(staticPrivateKey, StaticPrivateKeyLength());
+ Integer s_B = (y + e * b) % q;
+
+ Element A = params.DecodeElement(AA, false);
+ Element X = params.DecodeElement(XX, false);
+
+ Element t1 = params.ExponentiateElement(A, d);
+ Element t2 = m_groupParameters.MultiplyElements(X, t1);
+
+ // $\sigma_B}=(X \cdot A^{d})^{s_B}
+ sigma = params.ExponentiateElement(t2, s_B);
+ }
+ else
+ {
+ Integer x(ephemeralPrivateKey, StaticPrivateKeyLength());
+ Integer a(staticPrivateKey, StaticPrivateKeyLength());
+ Integer s_A = (x + d * a) % q;
+
+ Element B = params.DecodeElement(BB, false);
+ Element Y = params.DecodeElement(YY, false);
+
+ Element t1 = params.ExponentiateElement(B, e);
+ Element t2 = m_groupParameters.MultiplyElements(Y, t1);
+
+ // $\sigma_A}=(Y \cdot B^{e})^{s_A}
+ sigma = params.ExponentiateElement(t2, s_A);
+ }
+ Hash(&sigma, NULL, 0, NULL, 0, agreedValue, AgreedValueLength());
+ }
+ catch (DL_BadElement &)
+ {
+ return false;
+ }
+ return true;
+ }
+
+private:
+
+ // The paper uses Initiator and Recipient - make it classical.
+ enum KeyAgreementRole{ RoleServer = 1, RoleClient };
+
+ DL_GroupParameters<Element> & AccessAbstractGroupParameters() {return m_groupParameters;}
+ const DL_GroupParameters<Element> & GetAbstractGroupParameters() const{return m_groupParameters;}
+
+ KeyAgreementRole m_role;
+ GroupParameters m_groupParameters;
+};
+
+//! Hashed Menezes-Qu-Vanstone in GF(p) with key validation,
+/*! <a href="http://eprint.iacr.org/2005/176">HMQV: A High-Performance Secure Diffie-Hellman Protocol</a>
+ Note: this implements HMQV only. HMQV-C (with Key Confirmation) will be provided separately.
+*/
+typedef HMQV_Domain<DL_GroupParameters_GFP_DefaultSafePrime> HashedMQV;
+
+NAMESPACE_END
+
+#endif
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