Exemplo n.º 1
0
        /**
         * Multiplies a {@link org.bouncycastle.math.ec.F2mPoint F2mPoint}
         * by a <code>BigInteger</code> using the reduced <code>&#964;</code>-adic
         * NAF (RTNAF) method.
         * @param p The F2mPoint to Multiply.
         * @param k The <code>BigInteger</code> by which to Multiply <code>p</code>.
         * @return <code>k * p</code>
         */
        public static F2mPoint MultiplyRTnaf(F2mPoint p, BigInteger k)
        {
            F2mCurve curve = (F2mCurve)p.Curve;
            int      m     = curve.M;
            sbyte    a     = (sbyte)curve.A.ToBigInteger().IntValue;
            sbyte    mu    = curve.GetMu();

            BigInteger[] s   = curve.GetSi();
            ZTauElement  rho = PartModReduction(k, m, a, s, mu, (sbyte)10);

            return(MultiplyTnaf(p, rho));
        }
Exemplo n.º 2
0
        /**
         * Multiplies a {@link org.bouncycastle.math.ec.F2mPoint F2mPoint}
         * by <code>k</code> using the reduced <code>&#964;</code>-adic NAF (RTNAF)
         * method.
         * @param p The F2mPoint to multiply.
         * @param k The integer by which to multiply <code>k</code>.
         * @return <code>p</code> multiplied by <code>k</code>.
         */
        protected override ECPoint MultiplyPositive(ECPoint point, BigInteger k)
        {
            if (!(point is F2mPoint))
            {
                throw new ArgumentException("Only F2mPoint can be used in WTauNafMultiplier");
            }

            F2mPoint p     = (F2mPoint)point;
            F2mCurve curve = (F2mCurve)p.Curve;
            int      m     = curve.M;
            sbyte    a     = (sbyte)curve.A.ToBigInteger().IntValue;
            sbyte    mu    = curve.GetMu();

            BigInteger[] s = curve.GetSi();

            ZTauElement rho = Tnaf.PartModReduction(k, m, a, s, mu, (sbyte)10);

            return(MultiplyWTnaf(p, rho, curve.GetPreCompInfo(p, PRECOMP_NAME), a, mu));
        }
Exemplo n.º 3
0
        /**
         * Multiplies a {@link Al.Security.math.ec.F2mPoint F2mPoint}
         * by <code>k</code> using the reduced <code>&#964;</code>-adic NAF (RTNAF)
         * method.
         * @param p The F2mPoint to multiply.
         * @param k The integer by which to multiply <code>k</code>.
         * @return <code>p</code> multiplied by <code>k</code>.
         */
        public ECPoint Multiply(ECPoint point, BigInteger k, PreCompInfo preCompInfo)
        {
            if (!(point is F2mPoint))
            {
                throw new ArgumentException("Only F2mPoint can be used in WTauNafMultiplier");
            }

            F2mPoint p = (F2mPoint)point;

            F2mCurve curve = (F2mCurve)p.Curve;
            int      m     = curve.M;
            sbyte    a     = (sbyte)curve.A.ToBigInteger().IntValue;
            sbyte    mu    = curve.GetMu();

            BigInteger[] s = curve.GetSi();

            ZTauElement rho = Tnaf.PartModReduction(k, m, a, s, mu, (sbyte)10);

            return(MultiplyWTnaf(p, rho, preCompInfo, a, mu));
        }