org.spongycastle.math.ec

Class ECAlgorithms

java.lang.Object

org.spongycastle.math.ec.ECAlgorithms

public class ECAlgorithms
extends java.lang.Object

Constructor Summary

Constructors

Constructor and Description
ECAlgorithms()

Method Summary

Modifier and Type	Method and Description
static ECPoint	importPoint(ECCurve c, ECPoint p)
static boolean	isF2mCurve(ECCurve c)
static boolean	isF2mField(FiniteField field)
static boolean	isFpCurve(ECCurve c)
static boolean	isFpField(FiniteField field)
static void	montgomeryTrick(ECFieldElement[] zs, int off, int len)
static void	montgomeryTrick(ECFieldElement[] zs, int off, int len, ECFieldElement scale)
static ECPoint	referenceMultiply(ECPoint p, java.math.BigInteger k) Simple shift-and-add multiplication.
static ECPoint	shamirsTrick(ECPoint P, java.math.BigInteger k, ECPoint Q, java.math.BigInteger l)
static ECPoint	sumOfMultiplies(ECPoint[] ps, java.math.BigInteger[] ks)
static ECPoint	sumOfTwoMultiplies(ECPoint P, java.math.BigInteger a, ECPoint Q, java.math.BigInteger b)
static ECPoint	validatePoint(ECPoint p)

Methods inherited from class java.lang.Object

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

Constructor Detail

ECAlgorithms

public ECAlgorithms()

Method Detail

isF2mCurve

public static boolean isF2mCurve(ECCurve c)

isF2mField

public static boolean isF2mField(FiniteField field)

isFpCurve

public static boolean isFpCurve(ECCurve c)

isFpField

public static boolean isFpField(FiniteField field)

sumOfMultiplies

public static ECPoint sumOfMultiplies(ECPoint[] ps,
                                      java.math.BigInteger[] ks)

sumOfTwoMultiplies

public static ECPoint sumOfTwoMultiplies(ECPoint P,
                                         java.math.BigInteger a,
                                         ECPoint Q,
                                         java.math.BigInteger b)

shamirsTrick

public static ECPoint shamirsTrick(ECPoint P,
                                   java.math.BigInteger k,
                                   ECPoint Q,
                                   java.math.BigInteger l)

importPoint

public static ECPoint importPoint(ECCurve c,
                                  ECPoint p)

montgomeryTrick

public static void montgomeryTrick(ECFieldElement[] zs,
                                   int off,
                                   int len)

montgomeryTrick

public static void montgomeryTrick(ECFieldElement[] zs,
                                   int off,
                                   int len,
                                   ECFieldElement scale)

referenceMultiply

public static ECPoint referenceMultiply(ECPoint p,
                                        java.math.BigInteger k)

Simple shift-and-add multiplication. Serves as reference implementation to verify (possibly faster) implementations, and for very small scalars.

Parameters:

p - The point to multiply.

k - The multiplier.

Returns:

The result of the point multiplication kP.

validatePoint

public static ECPoint validatePoint(ECPoint p)