/// <summary>
/// Creates a new GF2nPolynomialElement using the given field <c>Gf</c> and int[] <c>Is</c> as value
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Is">The integer string to assign to this GF2nPolynomialElement</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, int[] Is)
{
mField = Gf;
mDegree = mField.Degree;
polynomial = new GF2Polynomial(mDegree, Is);
polynomial.ExpandN(Gf.Degree);
}
/// <summary>
/// Creates a new GF2nPolynomialElement using the given field and Bitstring
/// </summary>
///
/// <param name="Gf">The GF2nPolynomialField to use</param>
/// <param name="Gp">The desired value as Bitstring</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, GF2Polynomial Gp)
{
mField = Gf;
mDegree = mField.Degree;
polynomial = new GF2Polynomial(Gp);
polynomial.ExpandN(mDegree);
}
/// <summary>
/// Creates a new GF2nPolynomialElement using the given field <c>f</c> and byte[] <c>os</c> as value.
/// <para>The conversion is done according to 1363.</para>
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Os">The octet string to assign to this GF2nPolynomialElement</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, byte[] Os)
{
mField = Gf;
mDegree = mField.Degree;
polynomial = new GF2Polynomial(mDegree, Os);
polynomial.ExpandN(mDegree);
}
/// <summary>
/// Creates a new GF2nPolynomialElement using the given field <c>Gf</c> and int[] <c>Is</c> as value
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Is">The integer string to assign to this GF2nPolynomialElement</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, int[] Is)
{
m_Field = Gf;
m_Degree = m_Field.Degree;
m_polynomial = new GF2Polynomial(m_Degree, Is);
m_polynomial.ExpandN(Gf.Degree);
}
/// <summary>
/// Create a new random GF2nPolynomialElement using the given field and source of randomness
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Rnd">The source of randomness</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, Random Rnd)
{
mField = Gf;
mDegree = mField.Degree;
polynomial = new GF2Polynomial(mDegree);
Randomize(Rnd);
}
/// <summary>
/// Creates a new GF2nPolynomialElement using the given field <c>f</c> and byte[] <c>os</c> as value.
/// <para>The conversion is done according to 1363.</para>
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Os">The octet string to assign to this GF2nPolynomialElement</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, byte[] Os)
{
m_Field = Gf;
m_Degree = m_Field.Degree;
m_polynomial = new GF2Polynomial(m_Degree, Os);
m_polynomial.ExpandN(m_Degree);
}
/// <summary>
/// Creates a new GF2nPolynomialElement using the given field and Bitstring
/// </summary>
///
/// <param name="Gf">The GF2nPolynomialField to use</param>
/// <param name="Gp">The desired value as Bitstring</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, GF2Polynomial Gp)
{
m_Field = Gf;
m_Degree = m_Field.Degree;
m_polynomial = new GF2Polynomial(Gp);
m_polynomial.ExpandN(m_Degree);
}
/// <summary>
/// Create a new random GF2nPolynomialElement using the given field and source of randomness
/// </summary>
///
/// <param name="Gf">The GF2nField to use</param>
/// <param name="Rnd">The source of randomness</param>
public GF2nPolynomialElement(GF2nPolynomialField Gf, Random Rnd)
{
m_Field = Gf;
m_Degree = m_Field.Degree;
m_polynomial = new GF2Polynomial(m_Degree);
Randomize(Rnd);
}
/// <summary>
/// Create the zero element
/// </summary>
///
/// <param name="Gf">The finite field</param>
///
/// <returns>The zero element in the given finite field</returns>
public static GF2nPolynomialElement Zero(GF2nPolynomialField Gf)
{
GF2Polynomial polynomial = new GF2Polynomial(Gf.Degree);
return new GF2nPolynomialElement(Gf, polynomial);
}
/// <summary>
/// Create the one element
/// </summary>
///
/// <param name="Gf">The finite field</param>
///
/// <returns>The one element in the given finite field</returns>
public static GF2nPolynomialElement One(GF2nPolynomialField Gf)
{
GF2Polynomial polynomial = new GF2Polynomial(Gf.Degree, new int[] { 1 });
return new GF2nPolynomialElement(Gf, polynomial);
}
/// <summary>
/// Create the zero element
/// </summary>
///
/// <param name="Gf">The finite field</param>
///
/// <returns>The zero element in the given finite field</returns>
public static GF2nPolynomialElement Zero(GF2nPolynomialField Gf)
{
GF2Polynomial polynomial = new GF2Polynomial(Gf.Degree);
return(new GF2nPolynomialElement(Gf, polynomial));
}
/// <summary>
/// Create the one element
/// </summary>
///
/// <param name="Gf">The finite field</param>
///
/// <returns>The one element in the given finite field</returns>
public static GF2nPolynomialElement One(GF2nPolynomialField Gf)
{
GF2Polynomial polynomial = new GF2Polynomial(Gf.Degree, new int[] { 1 });
return(new GF2nPolynomialElement(Gf, polynomial));
}