Artículos de revistas
Relating propelinear and binary G-linear codes
Fecha
2002-01-28Registro en:
Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.
0012-365X
10.1016/S0012-365X(01)00206-0
WOS:000173061500012
WOS000173061500012.pdf
Autor
Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual de Maringá (UEM)
Universidade Estadual Paulista (Unesp)
Universidade Federal de Mato Grosso (UFMT)
Institución
Resumen
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.