Binary [64,10,28] Goppa code

Goppa polynomial: G(z)=z⁹+z+1
L={γⁱ | i=0,1, ... 72} ∪ {0}
γ=α⁷
The field GF(2⁹) is constructed using the primitive polynomial p(x)=x⁹+x⁴+1, p(α)=0;