Weight enumerator of some irreducible cyclic codes

Weight enumerator of some irreducible cyclic codes

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

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2016-03, Vol.78 (3), p.703-712
Hauptverfasser: Brochero Martínez, Fabio Enrique, Giraldo Vergara, Carmen Rosa
Format: Artikel
Sprache:eng
Schlagworte:
Circuits
Coding and Information Theory
Computer Science
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Information and Communication
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Zusammenfassung:In this article, we show explicitly all possible weight enumerators for every irreducible cyclic code of length n over a finite field F q , in the case which each prime divisor of n is also a divisor of q - 1 .
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-014-0026-6