Enumeration of extended irreducible binary Goppa codes of degree $2^{m}$ and length $2^{n}+1$

Let $n$ be an odd prime and $m>1$ be a positive integer. We produce an upper bound on the number of inequivalent extended irreducible binary Goppa codes of degree $2^{m}$ and length $2^{n}+1$. Some examples are given to illustrate our results.

Bibliographic Details
Main Authors: Augustine I. Musukwa, Kondwani Magamba, John A. Ryan
Format: Article
Language:English
Published: Yildiz Technical University 2017-07-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jacodesmath.com/index.php/jacodesmath/article/view/138