/// <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 ((m_Degree & 0x01) == 0)
{
throw new Exception();
}
int i;
GF2nPolynomialElement h = new GF2nPolynomialElement(this);
for (i = 1; i <= ((m_Degree - 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 < m_Degree; 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 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;
}