inverse of a polynomial modulo another polynomial
Hi, I'm trying to implement the Baby Step Giant Step algorithm in the group of units of prime fields. I would like to generate the field provided one generator polynomial. But I need to calculate p^(-1) (where p is a polynomial), but can't find a function to do so. This is what I'm doing,
F.<a> = GF(2); R.<b> = PolynomialRing(F) S.<x> = R.quotient(b^4+b+1) m = sqrt(S.modulus().degree()); gamma = S.modulus(); alpha = x^3+1;
now i need to calculate (alpha)^(-1) modulo gamma
Any help? Better ways to do the same thing?