The number of inequivalent irreducible Goppa codesPatrick Fitzpatrick, John A. RyanElectronic Notes in Discrete Mathematics2001

Enumeration of inequivalent irreducible Goppa codesJohn A. Ryan, Patrick FitzpatrickDiscrete Applied Mathematics2006We consider irreducible Goppa codes over Fq of length q n defined by polynomials of degree r where q is a prime power and n, r are arbitrary positive integers. We obtain an upper bound on the number of such codes.

Counting Extended Irreducible Binary Quartic Goppa Codes of Length 2n+1John A. RyanIEEE Trans. Information Theory2015