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Applicable Algebra in Engineering, Communication and Computing
Published in: Applicable Algebra in Engineering, Communication and Computing 4/2019

21-11-2018 | Original Paper

Counting extended irreducible Goppa codes

Authors: Kondwani Magamba, John A. Ryan

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 4/2019

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Abstract

We obtain an upper bound on the number of extended irreducible q-ary Goppa codes of degree r and length \(q^n+1\), where \(q=p^t\) and n and \(r>2\) are prime numbers.
previous article Approximately -semigroups in proximal relator spaces
next article New quadratic bent functions in polynomial forms with coefficients in extension fields

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Metadata
Title
Counting extended irreducible Goppa codes
Authors
Kondwani Magamba
John A. Ryan
Publication date
21-11-2018
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 4/2019
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-018-0375-x

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