Volume 2 - Issue 2 (5) | PP: 67 - 72
Language : English
DOI : https://doi.org/DOI:10.31559/glm2016.2.2.5
DOI : https://doi.org/DOI:10.31559/glm2016.2.2.5
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Binary Linear Codes and Binary Matrices
Received Date | Revised Date | Accepted Date | Publication Date |
23/1/2017 | 14/2/2017 | 27/2/2017 | 20/4/2017 |
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
, D. H. (2017). Binary Linear Codes and Binary Matrices . General Letters in Mathematics, 2 (2), 67-72, DOI:10.31559/glm2016.2.2.5
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