GF(p^2), optimal normal basis. More...
#include <xtr.h>
Inheritance diagram for GFP2_ONB< F >:
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 |
Detailed Description
template<class F>
class GFP2_ONB< F >
GF(p^2), optimal normal basis.
The documentation for this class was generated from the following file:
