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)