A propagation rule for linear codes
type: Item
instance of: scholarly article
title: A propagation rule for linear codes
zbMATH Open document ID: 0965.94028
author: Harald Niederreiter
author: Chaoping Xing
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2000-08-08T00:00:00Z
review text: By a propagation rule it is meant a procedure or a theorem leading to new codes from old ones. The authors introduce a propagation rule for linear codes by considering certain function field extensions. The parameters (length, dimension, distance) of the new code are related to the parameters of the old code and also to three chosen integers. In the examples the authors show that their propagation rules lead to many optimal linear codes.
reviewed by: Arnaldo Garcia
Mathematics Subject Classification ID: 94B27
Mathematics Subject Classification ID: 14G50
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 1486221
zbMATH Keywords: optimal linear codes
zbMATH Keywords: algebraic-geometric codes
zbMATH Keywords: global function fields
zbMATH Keywords: propagation rule
zbMATH Keywords: function field extensions
MaRDI profile type: Publication
full work available at URL: s002009900017
OpenAlex ID: W2075120475
DOI: 10.1007/S002009900017
description: scientific article; zbMATH DE number 1486221