Documentation

Montgomery extends Base

in package

• EC

Curves over y^2 = x^3 + a*x + x

Tags

author

Jim Wigginton terrafrost@php.net

access

public

Table of Contents

Properties

$a  : object

Cofficient for x

$a24  : object

Constant used for point doubling

$doubles  : array<string|int, object>

Doubles

$factory  : PrimeField

Prime Field Integer factory

$modulo  : BigInteger

The modulo

$one  : object

The Number One

$order  : BigInteger

The Order

$p  : object

Base Point

$zero  : object

The Number Zero

$naf  : array<string|int, int>

NAF Points

Methods

convertInteger()  : object

Converts a BigInteger to a FiniteField integer

convertToAffine()  : array<string|int, Integer>

Returns the affine point

convertToInternal()  : array<string|int, Integer>

Converts an affine point to an XZ coordinate

createRandomMultiplier()  : FiniteField

Creates a random scalar multiplier

getBasePoint()  : array<string|int, mixed>

Retrieve the base point as an array

getLength()  : int

Returns the length, in bits, of the modulo

getLengthInBytes()  : int

Returns the length, in bytes, of the modulo

getOrder()  : BigInteger

Returns the Order

multiplyAddPoints()  : array<string|int, int>

Multiply and Add Points

multiplyPoint()  : array<string|int, mixed>

Multiply a point on the curve by a scalar

negatePoint()  : array<string|int, object>

Negates a point

randomInteger()  : object

Returns a random integer

setBasePoint()  : array<string|int, Integer>

Set x and y coordinates for the base point

setCoefficients()  : mixed

Set coefficients a

setModulo()  : mixed

Sets the modulo

setOrder()  : mixed

Sets the Order

setReduction()  : object

Use a custom defined modular reduction function

doubleAndAddPoint()  : array<string|int, array<string|int, FiniteField>>

Doubles and adds a point on a curve