On the properties of Propelinear and G-linear codes
Martinho da Costa Araújo, Reginaldo Palazzo · Anais do 2002 International Telecommunications Symposium · 2002
The aim of this paper is to establish some of the structural properties which are common to the classes of binary translation-invariant propelinear codes and binary G-linear codes.In general, the codes in these classes are nonlinear codes, however they are part of the same symmetry group decomposition Γ Z n 2 of Z n 2 .We show that binary G-linear codes can be seen as translation-invariant propelinear codes.Finally, we establish a result which allows to identify when a code is a G-linear code.