Documentation

brainpoolP224t1 extends Prime

in package

• EC

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

Table of Contents

Properties

$a  : object

Cofficient for x^1

$b  : object

Cofficient for x^0

$doubles  : array<string|int, object>

Doubles

$eight  : object

The number eight over the specified finite field

$factory  : PrimeFields

Prime Field Integer factory

$four  : object

The number four over the specified finite field

$modulo  : BigInteger

The modulo

$one  : object

The number one over the specified finite field

$order  : BigInteger

The Order

$p  : object

Base Point

$three  : object

The number three over the specified finite field

$two  : object

The number two over the specified finite field

$naf  : array<string|int, int>

NAF Points

Methods

__construct()  : mixed

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

Adds two points on the curve

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 a jacobian coordinate

createRandomMultiplier()  : FiniteField

Creates a random scalar multiplier

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

Returns the X coordinate and the derived Y coordinate

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

Doubles a point on a curve

getA()  : Integer

Returns the a coefficient

getB()  : Integer

Returns the a coefficient

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

getModulo()  : BigInteger

Returns 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 and b

setModulo()  : mixed

Sets the modulo

setOrder()  : mixed

Sets the Order

setReduction()  : object

Use a custom defined modular reduction function

verifyPoint()  : bool

Tests whether or not the x / y values satisfy the equation

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

Returns the numerator and denominator of the slope

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

Adds two jacobian coordinates on the curve

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

Adds one "fresh" jacobian form on the curve

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

Adds two "fresh" jacobian form on the curve

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

Doubles a jacobian coordinate on the curve

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

Doubles a "fresh" jacobian coordinate on the curve

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

Precomputes points in Joint Sparse Form

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

Precomputes NAF points