GFP2_ONB< F > Class Template Reference

#include <xtr.h>

Inheritance diagram for GFP2_ONB< F >:

List of all members.

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Detailed Description

template<class F>
class GFP2_ONB< F >

GF(p^2), optimal normal basis.

Definition at line 43 of file xtr.h.

Public Types
typedef F	BaseField
typedef GFP2Element	Element
Public Member Functions
	GFP2_ONB (const Integer &p)
const Integer &	GetModulus () const
GFP2Element	ConvertIn (const Integer &a) const
GFP2Element	ConvertIn (const GFP2Element &a) const
GFP2Element	ConvertOut (const GFP2Element &a) const
bool	Equal (const GFP2Element &a, const GFP2Element &b) const
const Element &	Identity () const
const Element &	Add (const Element &a, const Element &b) const
const Element &	Inverse (const Element &a) const
const Element &	Double (const Element &a) const
const Element &	Subtract (const Element &a, const Element &b) const
Element &	Accumulate (Element &a, const Element &b) const
Element &	Reduce (Element &a, const Element &b) const
bool	IsUnit (const Element &a) const
const Element &	MultiplicativeIdentity () const
const Element &	Multiply (const Element &a, const Element &b) const
const Element &	MultiplicativeInverse (const Element &a) const
const Element &	Square (const Element &a) const
Element	Exponentiate (const Element &a, const Integer &e) const
const Element &	PthPower (const Element &a) const
void	RaiseToPthPower (Element &a) const
const Element &	SpecialOperation1 (const Element &a) const
const Element &	SpecialOperation2 (const Element &x, const Element &y, const Element &z) const
virtual const Element &	Divide (const Element &a, const Element &b) const
virtual Element	CascadeExponentiate (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
virtual void	SimultaneousExponentiate (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
virtual const AbstractGroup< GFP2Element > &	MultiplicativeGroup () const
virtual bool	InversionIsFast () const
virtual Element	ScalarMultiply (const Element &a, const Integer &e) const
virtual Element	CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
virtual void	SimultaneousMultiply (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
Protected Attributes
BaseField	modp
GFP2Element	result
Integer	t

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

• xtr.h

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