The Binary Linear Codes of Mathieu Group M_24
The Binary Linear Codes of Mathieu Group
Vincent Nyongesa Marani1Lucy Chikamai2& Prof. Shem Aywa 3
Citation: KIBU Conference (2017). Innovative Research and Knowledge for Global Competitiveness and Sustainable Development. Proceedings of 2nd Interdisciplinary International Scientific Conference 14 – 15 June 2017. Kibabii University Main campus, Bungoma Kenya ISBN: 978-9966-59-011-4
We use coding theory to study the internal structure of simple groups. Coding theory deals with methods of constructing and analyzing error-correcting codes. In this paper, we construct all binary linear codes from and determine their properties. We link these codes to designs and graphs.We develop the algorithm that determine these codes and add the algorithm to the Magma software.
Mathematics Subject Classification: 05B05, 20D45, 94B05
Key words: Binary codes, designs and Modules.
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