Relating propelinear and binary G-linear codes
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Data
2002-01-28
Autores
Alves, MMS
Geronimo, JR
Palazzo, R.
Costa, SIR
Interlando, J. C.
Araujo, M. C.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
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 B.V. B.V. All rights reserved.
Descrição
Palavras-chave
binary codes, Z(4)-linearity, propelinear codes, isometry groups, G-linearity
Como citar
Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.