/// <summary>
/// Compute the sum of this element and <c>Addend</c>.
/// </summary>
///
/// <param name="Addend">The addend</param>
///
/// <returns>Returns <c>this + other</c></returns>
public override IGFElement Add(IGFElement Addend)
{
GF2nPolynomialElement result = new GF2nPolynomialElement(this);
result.AddToThis(Addend);
return(result);
}
/// <summary>
/// Returns the trace of this GF2nPolynomialElement
/// </summary>
///
/// <returns>The trace of this GF2nPolynomialElement</returns>
public override int Trace()
{
GF2nPolynomialElement t = new GF2nPolynomialElement(this);
int i;
for (i = 1; i < mDegree; i++)
{
t.SquareThis();
t.AddToThis(this);
}
if (t.IsOne())
{
return(1);
}
return(0);
}
/// <summary>
/// Returns the half-trace of this GF2nPolynomialElement
/// </summary>
///
/// <returns>Returns a GF2nPolynomialElement representing the half-trace of this GF2nPolynomialElement</returns>
private GF2nPolynomialElement HalfTrace()
{
if ((mDegree & 0x01) == 0)
{
throw new Exception();
}
int i;
GF2nPolynomialElement h = new GF2nPolynomialElement(this);
for (i = 1; i <= ((mDegree - 1) >> 1); i++)
{
h.SquareThis();
h.SquareThis();
h.AddToThis(this);
}
return(h);
}
/// <summary>
/// Returns the half-trace of this GF2nPolynomialElement
/// </summary>
///
/// <returns>Returns a GF2nPolynomialElement representing the half-trace of this GF2nPolynomialElement</returns>
private GF2nPolynomialElement HalfTrace()
{
if ((mDegree & 0x01) == 0)
throw new Exception();
int i;
GF2nPolynomialElement h = new GF2nPolynomialElement(this);
for (i = 1; i <= ((mDegree - 1) >> 1); i++)
{
h.SquareThis();
h.SquareThis();
h.AddToThis(this);
}
return h;
}
/// <summary>
/// Returns the trace of this GF2nPolynomialElement
/// </summary>
///
/// <returns>The trace of this GF2nPolynomialElement</returns>
public override int Trace()
{
GF2nPolynomialElement t = new GF2nPolynomialElement(this);
int i;
for (i = 1; i < mDegree; i++)
{
t.SquareThis();
t.AddToThis(this);
}
if (t.IsOne())
return 1;
return 0;
}
/// <summary>
/// Compute the sum of this element and <c>Addend</c>.
/// </summary>
///
/// <param name="Addend">The addend</param>
///
/// <returns>Returns <c>this + other</c></returns>
public override IGFElement Add(IGFElement Addend)
{
GF2nPolynomialElement result = new GF2nPolynomialElement(this);
result.AddToThis(Addend);
return result;
}