Enumeration of irreducible and extended irreducible Goppa codes
Kondwani Magamba, John A. Ryan · arXiv (Cornell University) · 2019
We obtain upper bounds on the number of irreducible and extended irreducible Goppa codes over $GF(p)$ of length $q$ and $q+1$, respectively defined by polynomials of degree $r$, where $q=p^t$ and $r\geq 3$ is a positive integer.