Relating propelinear and binary G-linear codes

Alves, MMS; Geronimo, JR; Palazzo, R.; Costa, SIR; Interlando, J. C.; Araujo, M. C.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/34797

Title:

Relating propelinear and binary G-linear codes

Author(s):

Institution:

Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual de Maringá (UEM)
Universidade Estadual Paulista (UNESP)
Universidade Federal de Mato Grosso (UFMT)

ISSN:

0012-365X

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 B.V. B.V. All rights reserved.

Issue Date:

28-Jan-2002

Citation:

Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.

Time Duration:

187-194

Publisher:

Elsevier B.V.

Keywords:

binary codes
Z(4)-linearity
propelinear codes
isometry groups
G-linearity

Source:

http://dx.doi.org/10.1016/S0012-365X(01)00206-0

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/34797

Artigos, TCCs, Teses e Dissertações da Unesp

There are no files associated with this item.

Show full item record View Statistics