GF(p^2), optimal normal basis. More...
#include <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 |
GF(p^2), optimal normal basis.
Definition at line 43 of file xtr.h.