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

Year 2017, Volume: 4 Issue: 3, 235 - 246, 15.09.2017

Augustine İ. Musukwa Kondwani Magamba John A. Ryan

https://doi.org/10.13069/jacodesmath.327368

Cited By: 5

Abstract

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.

Keywords

Goppa codes , Extended codes , Irreducible Goppa codes , Equivalent codes

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