Binary [16,2,10] Goppa code

Goppa polynomial: G(z)=z²+z+α¹⁹
L={γⁱ | i=0,1, ... 22} ∪ {0}
γ=α⁸⁹
The field GF(2¹¹) is constructed using the primitive polynomial p(x)=x¹¹+x²+1, p(α)=0;