/**
* Multiplies a {@link org.bouncycastle.math.ec.F2mPoint F2mPoint}
* by a <code>BigInteger</code> using the reduced <code>τ</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));
}
/**
* Multiplies a {@link org.bouncycastle.math.ec.F2mPoint F2mPoint}
* by <code>k</code> using the reduced <code>τ</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));
}
/**
* Multiplies a {@link Al.Security.math.ec.F2mPoint F2mPoint}
* by <code>k</code> using the reduced <code>τ</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));
}