Binary [32,16,8] Goppa code

Goppa polynomial: G(z)=z5+z4+z+1
L={γi | i=0,1, ... 32}
γ=α31
The field GF(210) is constructed using the primitive polynomial p(x)=x10+x3+1, p(α)=0;
Note: The length is one less than 33=|L| because in the generation of the H-Matrix a column gets zero.