### 5.34.19 Factorize a polynomial with coefficients in a Galois field : factor

factor can also factorize a univariate
polynomial with coefficients in a Galois field.

Input for example to have G=F_{4}:

G:=GF(2,2,[’w’,’G’])

Output :

GF(2,w`^`

2+w+1,[w,G],undef)

Input for example :

a:=G(w)

factor(a`^`

2*x`^`

2+1)

Output :

(G(w+1))*(x+G(w+1))`^`

2