org.bouncycastle.math.ec
Class ECAlgorithms

java.lang.Object
  org.bouncycastle.math.ec.ECAlgorithms

public class ECAlgorithms

extends java.lang.Object

Constructor Summary

ECAlgorithms()

Method Summary

static ECPoint	cleanPoint(ECCurve c, ECPoint p)
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. CAUTION: This implementation is NOT constant-time in any way. It is only intended to be used for diagnostics.

Parameters:

p - The point to multiply.

k - The multiplier.

Returns:

The result of the point multiplication kP.

validatePoint

public static ECPoint validatePoint(ECPoint p)

cleanPoint

public static ECPoint cleanPoint(ECCurve c,
                                 ECPoint p)