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MontgomeryRepresentation Class Reference

#include <modarith.h>

Inheritance diagram for MontgomeryRepresentation:

ModularArithmetic AbstractRing< Integer > AbstractGroup< Integer > List of all members.

Detailed Description

do modular arithmetics in Montgomery representation for increased speed

Note:
the Montgomery representation represents each congruence class [a] as a*r%n, where r is a convenient power of 2

Definition at line 122 of file modarith.h.

Public Types

typedef int RandomizationParameter
typedef Integer Element

Public Member Functions

 MontgomeryRepresentation (const Integer &modulus)
virtual ModularArithmeticClone () const
bool IsMontgomeryRepresentation () const
Integer ConvertIn (const Integer &a) const
Integer ConvertOut (const Integer &a) const
const IntegerMultiplicativeIdentity () const
const IntegerMultiply (const Integer &a, const Integer &b) const
const IntegerSquare (const Integer &a) const
const IntegerMultiplicativeInverse (const Integer &a) const
Integer CascadeExponentiate (const Integer &x, const Integer &e1, const Integer &y, const Integer &e2) const
void SimultaneousExponentiate (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
void DEREncode (BufferedTransformation &bt) const
void DEREncodeElement (BufferedTransformation &out, const Element &a) const
void BERDecodeElement (BufferedTransformation &in, Element &a) const
const IntegerGetModulus () const
void SetModulus (const Integer &newModulus)
const IntegerHalf (const Integer &a) const
bool Equal (const Integer &a, const Integer &b) const
virtual bool Equal (const Element &a, const Element &b) const=0
const IntegerIdentity () const
const IntegerAdd (const Integer &a, const Integer &b) const
virtual const Element & Add (const Element &a, const Element &b) const=0
IntegerAccumulate (Integer &a, const Integer &b) const
virtual Element & Accumulate (Element &a, const Element &b) const
const IntegerInverse (const Integer &a) const
virtual const Element & Inverse (const Element &a) const=0
const IntegerSubtract (const Integer &a, const Integer &b) const
virtual const Element & Subtract (const Element &a, const Element &b) const
IntegerReduce (Integer &a, const Integer &b) const
virtual Element & Reduce (Element &a, const Element &b) const
const IntegerDouble (const Integer &a) const
virtual const Element & Double (const Element &a) const
virtual const Element & Multiply (const Element &a, const Element &b) const=0
virtual const Element & Square (const Element &a) const
bool IsUnit (const Integer &a) const
virtual bool IsUnit (const Element &a) const=0
virtual const Element & MultiplicativeInverse (const Element &a) const=0
const IntegerDivide (const Integer &a, const Integer &b) 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
unsigned int MaxElementBitLength () const
unsigned int MaxElementByteLength () const
Element RandomElement (RandomNumberGenerator &rng, const RandomizationParameter &ignore_for_now=0) const
bool operator== (const ModularArithmetic &rhs) const
virtual Element Exponentiate (const Element &a, const Integer &e) const
virtual const AbstractGroup<
Integer > & 
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

Static Public Attributes

const RandomizationParameter DefaultRandomizationParameter

Protected Attributes

Integer modulus
Integer result
Integer result1


The documentation for this class was generated from the following files:
Generated on Wed Jul 21 19:15:58 2004 for Crypto++ by doxygen 1.3.7-20040704