The weight distribution for any irreducible cyclic code of length \(p^m\)
type: Item
instance of: scholarly article
title: The weight distribution for any irreducible cyclic code of length \(p^m\)
zbMATH Open document ID: 1473.94151
author: Gerardo Vega
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2018-08-10T00:00:00Z
review text: Irreducible cyclic codes are a speical class of cyclic codes. They are minimal cyclic codes and it is of theoretical significance to study them. In this paper, irreducible cyclic codes with prime power length are investigated. The weight distributions of such codes are presented, which generalize the results of \textit{A. Sharma} and \textit{G. K. Bakshi} [Finite Fields Appl. 18, No. 1, 144--159 (2012; Zbl 1231.94074)]. Furthermore, some irreducible cyclic codes with one-weight and two-weight are constructed. It is shown that the family of one-weight and two-weight irreducible cyclic codes is an important component that describes the family of irreducible cyclic code of prime power length.
reviewed by: Gaojun Luo
Mathematics Subject Classification ID: 94B15
zbMATH DE Number: 6916495
zbMATH Keywords: weight distribution
zbMATH Keywords: irreducible cyclic code
MaRDI profile type: Publication
full work available at URL: s00200-017-0347-6
OpenAlex ID: W2770399699
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DOI: 10.1007/S00200-017-0347-6
description: scientific article; zbMATH DE number 6916495