/// <summary>
/// Compute the product of this polynomial with an element from GF(2^m)
/// </summary>
///
/// <param name="Element">An element of the finite field GF(2^m)</param>
///
/// <returns>Return <c>this * element</c> (newly created)</returns>
public PolynomialGF2mSmallM MultWithElement(int Element)
{
if (!_field.IsElementOfThisField(Element))
{
throw new ArithmeticException("Not an element of the finite field this polynomial is defined over.");
}
int[] resultCoeff = MultWithElement(_coefficients, Element, _field);
return(new PolynomialGF2mSmallM(_field, resultCoeff));
}
/// <summary>
/// Creates the vector over GF(2^m) of given length and with elements from array V (beginning at the first bit)
/// </summary>
///
/// <param name="Field">The finite field</param>
/// <param name="V">An array with elements of vector</param>
public GF2mVector(GF2mField Field, byte[] V)
{
_field = new GF2mField(Field);
// decode vector
int d = 8;
int count = 1;
while (Field.Degree > d)
{
count++;
d += 8;
}
if ((V.Length % count) != 0)
throw new ArgumentException("GF2mVector: Byte array is not an encoded vector over the given finite field!");
Length = V.Length / count;
_vector = new int[Length];
count = 0;
for (int i = 0; i < _vector.Length; i++)
{
for (int j = 0; j < d; j += 8)
_vector[i] |= (V[count++] & 0xff) << j;
if (!Field.IsElementOfThisField(_vector[i]))
throw new ArgumentException("GF2mVector: Byte array is not an encoded vector over the given finite field!");
}
}
/// <summary>
/// Create a new vector over <c>GF(2^m)</c> of the given length and element array
/// </summary>
///
/// <param name="Field">The finite field <c>GF(2^m)</c></param>
/// <param name="Vector">The element array</param>
public GF2mVector(GF2mField Field, int[] Vector)
{
_field = Field;
Length = Vector.Length;
for (int i = Vector.Length - 1; i >= 0; i--)
{
if (!Field.IsElementOfThisField(Vector[i]))
throw new ArithmeticException("Element array is not specified over the given finite field.");
}
_vector = IntUtils.DeepCopy(Vector);
}
/// <summary>
/// Create a new vector over <c>GF(2^m)</c> of the given length and element array
/// </summary>
///
/// <param name="Field">The finite field <c>GF(2^m)</c></param>
/// <param name="Vector">The element array</param>
public GF2mVector(GF2mField Field, int[] Vector)
{
_field = Field;
Length = Vector.Length;
for (int i = Vector.Length - 1; i >= 0; i--)
{
if (!Field.IsElementOfThisField(Vector[i]))
{
throw new ArithmeticException("Element array is not specified over the given finite field.");
}
}
_vector = IntUtils.DeepCopy(Vector);
}
/// <summary>
/// Creates the vector over GF(2^m) of given length and with elements from array V (beginning at the first bit)
/// </summary>
///
/// <param name="Field">The finite field</param>
/// <param name="V">An array with elements of vector</param>
public GF2mVector(GF2mField Field, byte[] V)
{
_field = new GF2mField(Field);
// decode vector
int d = 8;
int count = 1;
while (Field.Degree > d)
{
count++;
d += 8;
}
if ((V.Length % count) != 0)
{
throw new ArgumentException("GF2mVector: Byte array is not an encoded vector over the given finite field!");
}
Length = V.Length / count;
_vector = new int[Length];
count = 0;
for (int i = 0; i < _vector.Length; i++)
{
for (int j = 0; j < d; j += 8)
{
_vector[i] |= (V[count++] & 0xff) << j;
}
if (!Field.IsElementOfThisField(_vector[i]))
{
throw new ArgumentException("GF2mVector: Byte array is not an encoded vector over the given finite field!");
}
}
}