Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/80079
Type: Artigo de periódico
Title: Relating propelinear and binary G-linear codes
Author: Alves, MMS
Geronimo, JR
Palazzo, R
Costa, SIR
Interlando, JC
Araujo, MC
Abstract: In this paper we establish the connections between two different extensions Of Z(4)-linearity for binary Hamming spaces, We present both notions - propelinearity and G-linearity - in the context of isometries and group actions, taking the viewpoint of geometrically uniform codes extended to discrete spaces. We show a double inclusion relation: binary G-linear codes are propelinear codes, and translation-invariant propelinear codes are G-linear codes. (C) 2002 Elsevier Science B.V. All rights reserved.
Subject: binary codes
Z(4)-linearity
propelinear codes
isometry groups
G-linearity
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0012-365X(01)00206-0
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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