Refaad for Studies, Research and Developement
Binary Linear Codes and Binary Matrices
2519-9269 (Print)
2519-9277 (Online)
Volume 2
Issue 2
2017
April
0
Binary Linear Codes and Binary Matrices
67
72
English
Driss Harzalla University Chouaib Doukkali, Faculty of Sciences Department of Mathematics, EI Jadida, Morocco 68harzalla@gmail.com
In [1], the automorphism group of a binary linear code is computed by identifying it with one of its optimal generator matrices. This identiﬁcation is eﬀective for the computation of the automorphism group of a binary linear code. As application, we show in this work that the automorphism group of the binary triple-error-correcting primitive BCH code C of length n = 31 is the general linear group GL5(F2) on the vector space F32 over F2. Numerical examples are given by the use of some theoretical software : GAP 4.8.5 (Group Algorithm Programming), Q-extension and Grin 4.0 (Graph Interface).
Automorphism, Binary matrix, Bipartite graph, Optimal generator matrix, Binary BCH codes.
http://www.refaad.com/views/glm/225.html
http://www.refaad.com/files/glm/225.pdf