On type IV self-dual codes over \(\mathbb Z_4\)
type: Item
instance of: scholarly article
title: On type IV self-dual codes over \(\mathbb Z_4\)
zbMATH Open document ID: 1001.94034
DOI: 10.1016/S0012-365X(01)00159-5
author: Stefka Bouyuklieva
author: Masaaki Harada
published in: Discrete Mathematics
publication date: 2002-05-28T00:00:00Z
review text: The authors consider Type IV (that is, all Hamming weights are even) self-dual codes over \(\mathbb Z_4\) and classify such codes of length 20, thereby extending previous results by \textit{M. Harada} and \textit{A. Munemasa} [Finite Fields Appl. 6, 244-254 (2000; Zbl 0961.94014)]. There are exactly 27 inequivalent Type IV \(\mathbb Z_4\)-codes of length 20. The highest minimum Hamming, Lee, and Euclidean weights are determined for Type IV \(\mathbb Z_4\)-codes up to length 56, with the exception of lengths 44, 48, and 52, which are still open cases.
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1746226
zbMATH Keywords: code equivalence
zbMATH Keywords: codes over \(\mathbb Z_4\)
zbMATH Keywords: self-dual codes
zbMATH Keywords: highest minimum weights
reviewed by: Patric R. J. Östergård
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1746226