Dear GAP forum, I built a Galois field over F2 with irreducible polynomial f
x:=Indeterminate(GF(2), "x"); > x f:=x^22+x^21+x^20+x^17+x^14+x^9+x^5+x+Z(2)^0; > x^22+x^21+x^20+x^17+x^14+x^9+x^5+x+Z(2)^0 gf:=GF(2,f); > Field( [ a ] ) BasisVectors(Basis(gf)); > [ !Z(2)^0, a, a^2, a^3, a^4, a^5, a^6, a^7, a^8, a^9, a^10, a^11, a^12, a^13, a^14, a^15, a^16, a^17, a^18, a^19, a^20, a^21 ] I'm trying to get the basis elements as polynomials, in particular, I want their coefficients, but I'm not sure how to do this. My guess is that since they are all powers of the primitive root, if I know the coefficients representing the primitive root, I will be able to compute their coefficients. The next thing I tried was to extract the primitive root: PrimitiveRoot(gf); but I get the message "Error, no method found!" I'm not sure what to try next, do you have any advise? Best regards, Ha T. Lam _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
