static GF8()
{
GF8.empty = new GF8(0);
empty.i = -1;
#region Initialize Reference Tables
UInt32 primitive_polynomial = 285;
UInt32 mask = 1;
gf_exp[8] = 0;
for (byte i = 0; i < byte.MaxValue; i++)
{
gf_exp[i] = (byte)mask;
gf_log[mask] = (byte)i;
mask <<= 1;
if ((mask & 256) != 0)
mask = mask ^ primitive_polynomial;
}
/* set the extended gf_exp values for fast multiply */
for (UInt32 i = 0 ; i < byte.MaxValue ; i++)
gf_exp[i + byte.MaxValue] = gf_exp[i] ;
inverse[0] = 0;
inverse[1] = 1;
for (UInt32 i=2; i <= byte.MaxValue; i++)
inverse[i] = gf_exp[byte.MaxValue - gf_log[i]];
#endregion
}
public GF8 Power(byte exponent)
{
if (Value == 0)
{
return(this);
}
if (exponent == 0)
{
this = 1;
}
GF8 original = this;
for (int i = 1; i < exponent; i++)
{
this *= original;
}
return(this);
}
static GF8()
{
GF8.empty = new GF8(0);
empty.i = -1;
#region Initialize Reference Tables
UInt32 primitive_polynomial = 285;
UInt32 mask = 1;
gf_exp[8] = 0;
for (byte i = 0; i < byte.MaxValue; i++)
{
gf_exp[i] = (byte)mask;
gf_log[mask] = (byte)i;
mask <<= 1;
if ((mask & 256) != 0)
{
mask = mask ^ primitive_polynomial;
}
}
/* set the extended gf_exp values for fast multiply */
for (UInt32 i = 0; i < byte.MaxValue; i++)
{
gf_exp[i + byte.MaxValue] = gf_exp[i];
}
inverse[0] = 0;
inverse[1] = 1;
for (UInt32 i = 2; i <= byte.MaxValue; i++)
{
inverse[i] = gf_exp[byte.MaxValue - gf_log[i]];
}
#endregion
}
public static GF8 operator /(GF8 a, GF8 b)
{
return(GF8.Divide(a.Value, b.Value));
}
public static GF8 operator *(GF8 a, GF8 b)
{
return(GF8.Multiply(a.Value, b.Value));
}
public static GF8 operator -(GF8 a, GF8 b)
{
return(GF8.Add(a.Value, b.Value));
}