Support weight distribution of \(\mathbb Z_4\)-linear codes
type: Item
instance of: scholarly article
title: Support weight distribution of \(\mathbb Z_4\)-linear codes
zbMATH Open document ID: 1001.94041
DOI: 10.1016/S0012-365X(01)00168-6
author: Jie Cui
published in: Discrete Mathematics
publication date: 2002-05-28T00:00:00Z
review text: The author gives a relation between the support weight distribution of a \(\mathbb{Z}_4\)-linear code of type \(4^k\) and the Hamming weight distribution of the same code considered as a code over the Galois ring \(\text{GR}(4^m)\). Using the MacWilliams identities between dual codes over \(\text{GR}(4^m)\), the author derives a relation between the support weight distribution of the \(\mathbb{Z}_4\)-linear code and its dual. These results are generalizations of similar results due to \textit{T. Kløve} [Discrete Math. 106/107, 311-316 (1992; Zbl 0754.94008)] and \textit{J. Simonis} [Appl. Algebra Eng. Commun. Comput. 5, 371-377 (1994; Zbl 0805.94016)] for the case of codes over finite fields.
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1746233
zbMATH Keywords: Hamming weight distribution
zbMATH Keywords: MacWilliams identities
zbMATH Keywords: support weight distribution
reviewed by: Tor Helleseth
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00168-6
OpenAlex ID: W2053929033
description: scientific article; zbMATH DE number 1746233