private void ComputeType()
{
if ((DegreeN & 7) == 0)
{
throw new Exception("The extension degree is divisible by 8!");
}
// checking for the type
int s = 0;
int k = 0;
m_Type = 1;
for (int d = 0; d != 1; m_Type++)
{
s = m_Type * DegreeN + 1;
if (BigMath.IsPrime(s))
{
k = BigMath.Order(2, s);
d = BigMath.Gcd(m_Type * DegreeN / k, DegreeN);
}
}
m_Type--;
if (m_Type == 1)
{
s = (DegreeN << 1) + 1;
if (BigMath.IsPrime(s))
{
k = BigMath.Order(2, s);
int d = BigMath.Gcd((DegreeN << 1) / k, DegreeN);
if (d == 1)
{
m_Type++;
}
}
}
}