Communications Toolbox

Polynomial Format

The polynomial format uses the property that every element of GF(p^m) can be expressed as a polynomial in A with exponents between 0 and m-1, and coefficients in GF(p). In the polynomial format, the element

A(1) + A(2) A + A(3) A² + ... + A(m) A^m-1

is represented in MATLAB by the vector

• [A(1) A(2) A(3) ... A(m)]
  

Note    The Galois field functions in this toolbox represent a polynomial as a vector that lists the coefficients in order of ascending powers of the variable. This is the opposite of the order that other MATLAB functions use.

Exponential Format

List of All Elements of a Galois Field