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- // ec2n.h - originally written and placed in the public domain by Wei Dai
- /// \file ec2n.h
- /// \brief Classes for Elliptic Curves over binary fields
- #ifndef CRYPTOPP_EC2N_H
- #define CRYPTOPP_EC2N_H
- #include "cryptlib.h"
- #include "gf2n.h"
- #include "integer.h"
- #include "algebra.h"
- #include "ecpoint.h"
- #include "eprecomp.h"
- #include "smartptr.h"
- #include "pubkey.h"
- #if CRYPTOPP_MSC_VERSION
- # pragma warning(push)
- # pragma warning(disable: 4231 4275)
- #endif
- NAMESPACE_BEGIN(CryptoPP)
- /// \brief Elliptic Curve over GF(2^n)
- class CRYPTOPP_DLL EC2N : public AbstractGroup<EC2NPoint>, public EncodedPoint<EC2NPoint>
- {
- public:
- typedef GF2NP Field;
- typedef Field::Element FieldElement;
- typedef EC2NPoint Point;
- virtual ~EC2N() {}
- /// \brief Construct an EC2N
- EC2N() {}
- /// \brief Construct an EC2N
- /// \param field Field, GF2NP derived class
- /// \param a Field::Element
- /// \param b Field::Element
- EC2N(const Field &field, const Field::Element &a, const Field::Element &b)
- : m_field(field), m_a(a), m_b(b) {}
- /// \brief Construct an EC2N from BER encoded parameters
- /// \param bt BufferedTransformation derived object
- /// \details This constructor will decode and extract the fields fieldID and curve of the sequence ECParameters
- EC2N(BufferedTransformation &bt);
- /// \brief Encode the fields fieldID and curve of the sequence ECParameters
- /// \param bt BufferedTransformation derived object
- void DEREncode(BufferedTransformation &bt) const;
- bool Equal(const Point &P, const Point &Q) const;
- const Point& Identity() const;
- const Point& Inverse(const Point &P) const;
- bool InversionIsFast() const {return true;}
- const Point& Add(const Point &P, const Point &Q) const;
- const Point& Double(const Point &P) const;
- Point Multiply(const Integer &k, const Point &P) const
- {return ScalarMultiply(P, k);}
- Point CascadeMultiply(const Integer &k1, const Point &P, const Integer &k2, const Point &Q) const
- {return CascadeScalarMultiply(P, k1, Q, k2);}
- bool ValidateParameters(RandomNumberGenerator &rng, unsigned int level=3) const;
- bool VerifyPoint(const Point &P) const;
- unsigned int EncodedPointSize(bool compressed = false) const
- {return 1 + (compressed?1:2)*m_field->MaxElementByteLength();}
- // returns false if point is compressed and not valid (doesn't check if uncompressed)
- bool DecodePoint(Point &P, BufferedTransformation &bt, size_t len) const;
- bool DecodePoint(Point &P, const byte *encodedPoint, size_t len) const;
- void EncodePoint(byte *encodedPoint, const Point &P, bool compressed) const;
- void EncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const;
- Point BERDecodePoint(BufferedTransformation &bt) const;
- void DEREncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const;
- Integer FieldSize() const {return Integer::Power2(m_field->MaxElementBitLength());}
- const Field & GetField() const {return *m_field;}
- const FieldElement & GetA() const {return m_a;}
- const FieldElement & GetB() const {return m_b;}
- bool operator==(const EC2N &rhs) const
- {return GetField() == rhs.GetField() && m_a == rhs.m_a && m_b == rhs.m_b;}
- private:
- clonable_ptr<Field> m_field;
- FieldElement m_a, m_b;
- mutable Point m_R;
- };
- CRYPTOPP_DLL_TEMPLATE_CLASS DL_FixedBasePrecomputationImpl<EC2N::Point>;
- CRYPTOPP_DLL_TEMPLATE_CLASS DL_GroupPrecomputation<EC2N::Point>;
- /// \brief Elliptic Curve precomputation
- /// \tparam EC elliptic curve field
- template <class EC> class EcPrecomputation;
- /// \brief EC2N precomputation specialization
- /// \details Implementation of <tt>DL_GroupPrecomputation<EC2N::Point></tt>
- /// \sa DL_GroupPrecomputation
- template<> class EcPrecomputation<EC2N> : public DL_GroupPrecomputation<EC2N::Point>
- {
- public:
- typedef EC2N EllipticCurve;
- virtual ~EcPrecomputation() {}
- // DL_GroupPrecomputation
- const AbstractGroup<Element> & GetGroup() const {return m_ec;}
- Element BERDecodeElement(BufferedTransformation &bt) const {return m_ec.BERDecodePoint(bt);}
- void DEREncodeElement(BufferedTransformation &bt, const Element &v) const {m_ec.DEREncodePoint(bt, v, false);}
- /// \brief Set the elliptic curve
- /// \param ec ECP derived class
- /// \details SetCurve() is not inherited
- void SetCurve(const EC2N &ec) {m_ec = ec;}
- /// \brief Get the elliptic curve
- /// \return EC2N curve
- /// \details GetCurve() is not inherited
- const EC2N & GetCurve() const {return m_ec;}
- private:
- EC2N m_ec;
- };
- NAMESPACE_END
- #if CRYPTOPP_MSC_VERSION
- # pragma warning(pop)
- #endif
- #endif
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