Title of article
Relating propelinear and binary G-linear codes
Author/Authors
Marcelo M.S. Alves، نويسنده , , Jo?o R. Gerônimo، نويسنده , , Reginaldo Palazzo Jr.، نويسنده , , Sueli I.R. Costa، نويسنده , , J. Carmelo Interlando، نويسنده , , Martinho C. Ara?jo، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
8
From page
187
To page
194
Abstract
In this paper we establish the connections between two different extensions of Z4-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.
Keywords
Propelinear codes , View the MathML source-linearity , G-linearity. , isometry groups , Binary codes
Journal title
Discrete Mathematics
Serial Year
2002
Journal title
Discrete Mathematics
Record number
949891
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