Example: Generating a List of Galois Field Elements :: Galois Fields of Odd Characteristic (Communications Toolbox)

Communications Toolbox

Example: Generating a List of Galois Field Elements

This example applies the conversion functionality to the task of generating a matrix that lists all elements of a Galois field. A matrix that lists all field elements is an input argument in functions such as gfadd and gfmul. The variables field1 and field2 below have the format that such functions expect.

p = 5; % Or any prime number
m = 4; % Or any positive integer
field1 = gftuple([-1:p^m-2]',m,p);

prim_poly = gfprimdf(m,p); % Or any primitive polynomial
% for GF(p^m)
field2 = gftuple([-1:p^m-2]',prim_poly,p);

Converting and Simplifying Element Formats

Converting to Simplest Exponential Format