Relating propelinear and binary G-linear codes

dc.contributorUniversidade Estadual de Campinas (UNICAMP)
dc.contributorUniversidade Estadual de Maringá (UEM)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidade Federal de Mato Grosso (UFMT)
dc.date.accessioned2014-05-20T15:24:08Z
dc.date.available2014-05-20T15:24:08Z
dc.date.created2014-05-20T15:24:08Z
dc.date.issued2002-01-28
dc.identifierDiscrete Mathematics. Amsterdam: Elsevier B.V., v. 243, n. 1-3, p. 187-194, 2002.
dc.identifier0012-365X
dc.identifierhttp://hdl.handle.net/11449/34797
dc.identifier10.1016/S0012-365X(01)00206-0
dc.identifierWOS:000173061500012
dc.identifierWOS000173061500012.pdf
dc.description.abstractIn 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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationDiscrete Mathematics
dc.relation0.738
dc.rightsAcesso aberto
dc.sourceWeb of Science
dc.subjectbinary codes
dc.subjectZ(4)-linearity
dc.subjectpropelinear codes
dc.subjectisometry groups
dc.subjectG-linearity
dc.titleRelating propelinear and binary G-linear codes
dc.typeArtículos de revistas


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