Binary Linear Codes and Binary Matrices

Volume 2, Issue 2, Article 5 - 2017

Authors: Driss Harzalla

Copyright © 2017 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abstract

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).

How To Cite This Article

@article{Harzalla_2017, doi = {10.31559/glm2016.2.2.5}, url = {https://doi.org/10.31559%2Fglm2016.2.2.5}, year = 2017, month = {apr}, publisher = {Refaad for Studies and Research}, volume = {2}, number = {2}, author = {Driss Harzalla}, title = {Binary Linear Codes and Binary Matrices}, journal = {General Letters in Mathematics} }
Harzalla, D. (2017). Binary Linear Codes and Binary Matrices. General Letters in Mathematics, 2(2). doi:10.31559/glm2016.2.2.5
[1]D. Harzalla, “Binary Linear Codes and Binary Matrices,” General Letters in Mathematics, vol. 2, no. 2, Apr. 2017.
Harzalla, Driss. “Binary Linear Codes and Binary Matrices.” General Letters in Mathematics 2, no. 2 (April 1, 2017). doi:10.31559/glm2016.2.2.5.