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

#include <gf2n.h>

Inheritance diagram for GF2NT:

Public Member Functions
	GF2NT (unsigned int t0, unsigned int t1, unsigned int t2)

GF2NP *	Clone () const

void	DEREncode (BufferedTransformation &bt) const

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

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

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

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
	Compare two elements for equality.

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

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 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 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.

Protected Member Functions
const Element &	Reduced (const Element &a) const

Protected Attributes
unsigned int	t0

unsigned int	t1

PolynomialMod2	result

Protected Attributes inherited from GF2NP
unsigned int	m

Protected Attributes inherited from QuotientRing< EuclideanDomainOf< PolynomialMod2 > >
EuclideanDomain	m_domain

Element	m_modulus

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 Trinomial Basis.

Definition at line 332 of file gf2n.h.

Constructor & Destructor Documentation

◆ GF2NT()

GF2NT::GF2NT	(	unsigned int	t0,
		unsigned int	t1,
		unsigned int	t2
	)

Definition at line 653 of file gf2n.cpp.

Member Function Documentation

◆ Clone()

GF2NP * GF2NT::Clone ( ) const

inlinevirtual

Reimplemented from GF2NP.

Definition at line 338 of file gf2n.h.

◆ DEREncode()

void GF2NT::DEREncode ( BufferedTransformation & bt ) const

virtual

Reimplemented from GF2NP.

Definition at line 896 of file gf2n.cpp.

◆ MultiplicativeInverse()

const GF2NT::Element & GF2NT::MultiplicativeInverse ( const Element & a ) const

virtual

Calculate the multiplicative inverse of an element in the group.

Parameters

a	the element

Implements AbstractRing< T::Element >.

Definition at line 661 of file gf2n.cpp.

◆ Multiply()

const GF2NT::Element & GF2NT::Multiply	(	const Element &	a,
		const Element &	b
	)		const

virtual

Multiplies elements in the group.

Parameters

a	the multiplicand
b	the multiplier

Returns: the product of a and b

Implements AbstractRing< T::Element >.

Reimplemented in GF2NT233.

Definition at line 806 of file gf2n.cpp.

◆ Reduced()

const GF2NT::Element & GF2NT::Reduced ( const Element & a ) const

protected

Definition at line 832 of file gf2n.cpp.

◆ Square()

const Element & GF2NT::Square ( const Element & a ) const

inlinevirtual

Square an element in the group.

Parameters

a	the element

Returns: the element squared

Reimplemented from AbstractRing< T::Element >.

Reimplemented in GF2NT233.

Definition at line 343 of file gf2n.h.

Member Data Documentation

◆ result

PolynomialMod2 GF2NT::result

mutableprotected

Definition at line 352 of file gf2n.h.

◆ t0

unsigned int GF2NT::t0

protected

Definition at line 351 of file gf2n.h.

◆ t1

unsigned int GF2NT::t1

protected

Definition at line 351 of file gf2n.h.

The documentation for this class was generated from the following files:

G:/work/subversion/scol-technologies/trunk/scol/plugins/security/cryptopp/gf2n.h
G:/work/subversion/scol-technologies/trunk/scol/plugins/security/cryptopp/gf2n.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ GF2NT()

Member Function Documentation

◆ Clone()

◆ DEREncode()

◆ MultiplicativeInverse()

◆ Multiply()

◆ Reduced()

◆ Square()

Member Data Documentation

◆ result

◆ t0

◆ t1