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Designs, Codes and Cryptography
Erschienen in: Designs, Codes and Cryptography 2/2015

01.05.2015

The weight distribution of a family of \(p\)-ary cyclic codes

verfasst von: Dabin Zheng, Xiaoqiang Wang, Xiangyong Zeng, Lei Hu

Erschienen in: Designs, Codes and Cryptography | Ausgabe 2/2015

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Abstract

Let \(p\) be an odd prime, and \(m\) and \(k\) be two positive integers with \(\frac{m}{\gcd (m,k)}\) being odd. This paper determines the weight distribution of a family of \(p\)-ary cyclic codes over \({\mathbb {F}}_p\) whose duals have three zeros \(\alpha ^{-2}, \alpha ^{-(p^{2k}+1)}\) and \(\alpha ^{-(p^{4k}+1)}\), where \(\alpha \) is a primitive element of \({\mathbb {F}}_{p^m}\).
Vorheriger Artikel A method for constructing self-dual codes over
Nächster Artikel On the construction of Griesmer codes of dimension 5
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Metadaten
Titel
The weight distribution of a family of -ary cyclic codes
verfasst von
Dabin Zheng
Xiaoqiang Wang
Xiangyong Zeng
Lei Hu
Publikationsdatum
01.05.2015
Verlag
Springer US
Erschienen in
Designs, Codes and Cryptography / Ausgabe 2/2015
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-013-9908-2

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