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Designs, Codes and Cryptography

Erschienen in:

01.03.2016

Weight enumerator of some irreducible cyclic codes

verfasst von: Fabio Enrique Brochero Martínez, Carmen Rosa Giraldo Vergara

Erschienen in: Designs, Codes and Cryptography | Ausgabe 3/2016

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Abstract

In this article, we show explicitly all possible weight enumerators for every irreducible cyclic code of length \(n\) over a finite field \({\mathbb {F}}_q\), in the case which each prime divisor of \(n\) is also a divisor of \(q-1\).

Vorheriger Artikel The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29

Nächster Artikel Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes

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Titel: Weight enumerator of some irreducible cyclic codes
verfasst von: Fabio Enrique Brochero Martínez
Carmen Rosa Giraldo Vergara
Publikationsdatum: 01.03.2016
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 3/2016
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-014-0026-6

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