Experimental constructions of self-dual codes
type: Item
instance of: scholarly article
title: Experimental constructions of self-dual codes
zbMATH Open document ID: 1031.94016
DOI: 10.1016/S1071-5797(03)00011-X
author: Philippe Gaborit
author: Ayoub Otmani
published in: Finite Fields and their Applications
publication date: 2003-08-17T00:00:00Z
review text: The authors propose a new experimental method to construct quickly and easily ``good'' self-dual codes of any length over any alphabet. The term ``good'' is appointed to the minimum distance of the code which is exactly or approximately very close to the highest known minimum distance for the self-dual code of a particular length. The method given generalizes the binary code construction proposed to any alphabet and mainly relies on computation. An extended list of self-dual codes constructed by this method is given, which seems to indicate that the codes are ``good'' indeed. These codes are constructed to phase the burst error correction. The notion and the analysis of these codes are also given in the paper. The given general experimental method is a generalization of the codes of \textit{J. Carlach} and \textit{C. Vervoux} [A new family of block-turbo codes, Proc. AAECC13, Hawaii, 15-16 (1999)]. Some special cases of these codes are also considered.
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B65
zbMATH DE Number: 1965050
reviewed by: Dimitris Voukalis
describes a project that uses: Magma
describes a project that uses: Code Tables
MaRDI profile type: Publication
Wikidata QID: Q62039182
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full work available at URL: s1071-5797(03)00011-x
OpenAlex ID: W2060023177
description: scientific article; zbMATH DE number 1965050