Alves, MMSGeronimo, JRPalazzo, R.Costa, SIRInterlando, J. C.Araujo, M. C.2014-05-202014-05-202002-01-28Discrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.0012-365Xhttp://hdl.handle.net/11449/34797In 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.187-194engbinary codesZ(4)-linearitypropelinear codesisometry groupsG-linearityArtigo10.1016/S0012-365X(01)00206-0WOS:000173061500012Acesso abertoWOS000173061500012.pdf