iaik.security.ec.math.curve

Class PrimeMontgomeryCurveFactory

java.lang.Object

iaik.security.ec.math.curve.PrimeMontgomeryCurveFactory

public final class PrimeMontgomeryCurveFactory
extends Object

This general-purpose factory generates prime Montgomery-type elliptic curves for given parameters.

The user can choose between various coordinate systems, which are listed in CoordinateTypes. By default a curve using the fastest coordinate type available will be returned.

Author:

Lukas Prokop, Sebastian Ramacher

Method Summary

Modifier and Type	Method and Description
static iaik.security.ec.math.curve.PrimeMontgomeryCurve	getCurve(AbstractPrimeField field, BigInteger a, BigInteger b) The factory method.
static iaik.security.ec.math.curve.PrimeMontgomeryCurve	getCurve(AbstractPrimeField field, BigInteger a, BigInteger d, BigInteger order) The factory method.
static iaik.security.ec.math.curve.PrimeMontgomeryCurve	getCurve(PrimeCurveCoordinateTypes type, AbstractPrimeField field, BigInteger a, BigInteger b) The factory method.
static iaik.security.ec.math.curve.PrimeMontgomeryCurve	getCurve(PrimeCurveCoordinateTypes type, AbstractPrimeField field, BigInteger a, BigInteger b, BigInteger order) The factory method.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

getCurve

public static iaik.security.ec.math.curve.PrimeMontgomeryCurve getCurve(AbstractPrimeField field,
                                                                        BigInteger a,
                                                                        BigInteger b)
                                                                 throws InvalidCurveException

The factory method. Returns the curve with the fastest arithmetic for a given coordinate type and given curve parameters.

Parameters:

field - the underlying prime field

a - the first curve parameter

b - the second curve parameter

Returns:

a curve of given type and parameters over the prime field field

Throws:

InvalidCurveException - if the curve is singular

getCurve

public static iaik.security.ec.math.curve.PrimeMontgomeryCurve getCurve(PrimeCurveCoordinateTypes type,
                                                                        AbstractPrimeField field,
                                                                        BigInteger a,
                                                                        BigInteger b)
                                                                 throws InvalidCurveException

The factory method. Returns the curve with the fastest arithmetic for a given coordinate type and given curve parameters.

Parameters:

type - the coordinate type

field - the underlying prime field

a - the first curve parameter

b - the second curve parameter

Returns:

a curve of given type and parameters over the prime field field

Throws:

InvalidCurveException - if the curve is singular

getCurve

public static iaik.security.ec.math.curve.PrimeMontgomeryCurve getCurve(PrimeCurveCoordinateTypes type,
                                                                        AbstractPrimeField field,
                                                                        BigInteger a,
                                                                        BigInteger b,
                                                                        BigInteger order)
                                                                 throws InvalidCurveException

The factory method. Returns the curve with the fastest arithmetic for a given coordinate type and given curve parameters.

Parameters:

type - the coordinate type

field - the underlying prime field

a - the first curve parameter

b - the second curve parameter

order - the order of the curve group

Returns:

a curve of given type and parameters over the prime field field

Throws:

InvalidCurveException - if the curve is singular

getCurve

public static iaik.security.ec.math.curve.PrimeMontgomeryCurve getCurve(AbstractPrimeField field,
                                                                        BigInteger a,
                                                                        BigInteger d,
                                                                        BigInteger order)
                                                                 throws InvalidCurveException

The factory method. Returns the curve with the fastest arithmetic for given curve parameters.

Parameters:

field - the underlying prime field

a - the first curve parameter

d - the second curve parameter

order - the order of the associated curve group

Returns:

a curve of given type and parameters over the prime field field

Throws:

InvalidCurveException - if the curve is singular