gfprimdf

Provide default primitive polynomials for Galois field

Syntax

pol = gfprimdf(m)
pol = gfprimdf(m,p)


Description

Note

This function performs computations in GF(p^m), where p is prime. To work in GF(2^m), use the primpoly function. For details, see Finding Primitive Polynomials in Primitive Polynomials and Element Representations.

pol = gfprimdf(m) outputs the default primitive polynomial pol in GF(2^m).

pol = gfprimdf(m,p) returns the row vector that gives the coefficients, in order of ascending powers, of the default primitive polynomial for GF(p^m). m is a positive integer and p is a prime number.

Examples

Find Default Primitive Polynomial for GF(52)

Find the default primitive polynomial for GF(52) by using the gfprimdf function. Then use the gfpretty function to display it in polynomial format.

pol = gfprimdf(2,5)

pol = 1×3

     2     1     1

gfpretty(pol)

 
                                           2
                                  2 + X + X 

Find Default Primitive Polynomials for Range of Galois Fields

Find the default primitive polynomials for a range of Galois fields by using the gfprimdf function.

Use the gfpretty function to display the default primitive polynomial for each of the fields GF(3m), where the range for m is [3, 5].

for m = 3:5
   gfpretty(gfprimdf(m,3))
end

 
                                            3
                                 1 + 2 X + X 
 
                                           4
                                  2 + X + X 
 
                                            5
                                 1 + 2 X + X 

Version History

Introduced before R2006a