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Designs of Length 2024 from Mathieu Group M24
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
In this paper, we construct 1-symmetric designs of length 2024 from Mathieu group M24 and discuss their properties. We further discuss some codes associated with some of this design. 2010 Mathematics Subject Classification: 94B 05C
Keywords
self-dual, doubly even, Mathieu Group M24
References
[1] B. G. Rodrigues (2003), Codes of Designs and Graphs from Finite Simple Groups, Ph.D. thesis, University of Natal, Pietermaritzburg,
[2] J. Moori and G.F. Randriafanomezantsoa (2014), Designs and codes from certain finite groups. Transactions on Combinatorics ISSN (print): 2251-8657, ISSN (on-line): 2251-8665Vol. 3 No. 1 (2014), pp. 15-28. University of Isfahan
[3] J. D. Key and J. Moori (2002), Designs, codes and graphs from the Janko groups J1 and J2, J. Combin. Math. and Combin. Comput. 40, 143–159.
[4] L. Chikamai, J. Moori, and B. G. Rodrigues (2012), Linear codes obtained from 2modular representations of some finite simple groups’. Phd thesis D-Space software copyright ' 2002-2013 Duraspace
[5] M. Grassl (2006), Searching for Linear Codes with Large Minimum Distance, Discovering Mathematics with Magma (Wieb Bosma and John Cannon, eds.), Springer, New York.
How to cite this paper
@article{1702625,
author = {Bonface Otieno Kwach},
title = {Designs of Length 2024 from Mathieu Group M24},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {4},
number = {9},
pages = {51-52},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702625.pdf},
abstract = {In this paper, we construct 1-symmetric designs of length 2024 from Mathieu group M24 and discuss their properties. We further discuss some codes associated with some of this design. 2010 Mathematics Subject Classification: 94B 05C},
keywords = {self-dual, doubly even, Mathieu Group M24},
month = {March},
}