GF(2^n) with Pentanomial Basis. More...

#include <gf2n.h>

Inheritance diagram for GF2NPP:

Public Member Functions
	GF2NPP (unsigned int t0, unsigned int t1, unsigned int t2, unsigned int t3, unsigned int t4)

GF2NP *	Clone () const

void	DEREncode (BufferedTransformation &bt) const

Public Member Functions inherited from GF2NP
	GF2NP (const PolynomialMod2 &modulus)

void	DEREncodeElement (BufferedTransformation &out, const Element &a) const

void	BERDecodeElement (BufferedTransformation &in, Element &a) const

bool	Equal (const Element &a, const Element &b) const

bool	IsUnit (const Element &a) const

unsigned int	MaxElementBitLength () const

unsigned int	MaxElementByteLength () const

Element	SquareRoot (const Element &a) const

Element	HalfTrace (const Element &a) const

Element	SolveQuadraticEquation (const Element &a) const

Public Member Functions inherited from QuotientRing< EuclideanDomainOf< PolynomialMod2 > >
	QuotientRing (const EuclideanDomain &domain, const Element &modulus)

const EuclideanDomain &	GetDomain () const

const Element &	GetModulus () const

bool	Equal (const Element &a, const Element &b) const

const Element &	Identity () const
	Provides the Identity element.

const Element &	Add (const Element &a, const Element &b) const

Element &	Accumulate (Element &a, const Element &b) const

const Element &	Inverse (const Element &a) const

const Element &	Subtract (const Element &a, const Element &b) const

Element &	Reduce (Element &a, const Element &b) const

const Element &	Double (const Element &a) const

bool	IsUnit (const Element &a) const

const Element &	MultiplicativeIdentity () const
	Retrieves the multiplicative identity.

const Element &	Multiply (const Element &a, const Element &b) const

const Element &	Square (const Element &a) const

const Element &	MultiplicativeInverse (const Element &a) const

bool	operator== (const QuotientRing< EuclideanDomainOf< PolynomialMod2 > > &rhs) const

Public Member Functions inherited from AbstractRing< T::Element >
	AbstractRing ()
	Construct an AbstractRing.

	AbstractRing (const AbstractRing &source)
	Copy construct an AbstractRing.

AbstractRing &	operator= (const AbstractRing &source)
	Assign an AbstractRing.

virtual bool	IsUnit (const Element &a) const=0
	Determines whether an element is a unit in the group.

virtual const Element &	Multiply (const Element &a, const Element &b) const=0
	Multiplies elements in the group.

virtual const Element &	MultiplicativeInverse (const Element &a) const=0
	Calculate the multiplicative inverse of an element in the group.

virtual const Element &	Square (const Element &a) const
	Square an element in the group.

virtual const Element &	Divide (const Element &a, const Element &b) const
	Divides elements in the group.

virtual Element	Exponentiate (const Element &a, const Integer &e) const
	Raises a base to an exponent in the group.

virtual Element	CascadeExponentiate (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
	TODO.

virtual void	SimultaneousExponentiate (Element results, const Element &base, const Integer exponents, unsigned int exponentsCount) const
	Exponentiates a base to multiple exponents in the Ring.

virtual const AbstractGroup< T > &	MultiplicativeGroup () const
	Retrieves the multiplicative group.

Public Member Functions inherited from AbstractGroup< T >
virtual bool	Equal (const Element &a, const Element &b) const =0
	Compare two elements for equality.

virtual const Element &	Add (const Element &a, const Element &b) const =0
	Adds elements in the group.

virtual const Element &	Inverse (const Element &a) const =0
	Inverts the element in the group.

virtual bool	InversionIsFast () const
	Determine if inversion is fast.

virtual const Element &	Double (const Element &a) const
	Doubles an element in the group.

virtual const Element &	Subtract (const Element &a, const Element &b) const
	Subtracts elements in the group.

virtual Element &	Accumulate (Element &a, const Element &b) const
	TODO.

virtual Element &	Reduce (Element &a, const Element &b) const
	Reduces an element in the congruence class.

virtual Element	ScalarMultiply (const Element &a, const Integer &e) const
	Performs a scalar multiplication.

virtual Element	CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
	TODO.

virtual void	SimultaneousMultiply (Element results, const Element &base, const Integer exponents, unsigned int exponentsCount) const
	Multiplies a base to multiple exponents in a group.

Additional Inherited Members
Public Types inherited from QuotientRing< EuclideanDomainOf< PolynomialMod2 > >
typedef EuclideanDomainOf< PolynomialMod2 >	EuclideanDomain

typedef T::Element	Element

Public Types inherited from AbstractRing< T::Element >
typedef T	Element

Public Types inherited from AbstractGroup< T >
typedef T	Element

Detailed Description

GF(2^n) with Pentanomial Basis.

Definition at line 374 of file gf2n.h.

Constructor & Destructor Documentation

◆ GF2NPP()

GF2NPP::GF2NPP	(	unsigned int	t0,
		unsigned int	t1,
		unsigned int	t2,
		unsigned int	t3,
		unsigned int	t4 )

inline

Definition at line 378 of file gf2n.h.

Member Function Documentation

◆ Clone()

GF2NP * GF2NPP::Clone ( ) const

inlinevirtual

Reimplemented from GF2NP.

Definition at line 381 of file gf2n.h.

◆ DEREncode()

void GF2NPP::DEREncode ( BufferedTransformation & bt ) const

virtual