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A Self-Dual and Doubly Even Code Related To Mathieu Group M24
Subject area: Science,Engineering and Technology · Area of research: coding theory
Abstract
In this paper, we determine a self-dual and doubly even [24,12,8] code. We determine and discuss the properties of designs related to this code 2010 Mathematics Subject Classification: 94B 05C
Keywords
self-dual, doubly even, Mathieu Group M24.
References
[1] L. Chikamai, J. Moori, and B. G. Rodrigues (2012), Linear codes obtained from 2modular representations of some finite simple groups. thesis D-Space software copyright ' 2002-2013 Duraspace
[2] M. Grassl (2006), Searching for Linear Codes with Large Minimum Distance, Discovering Mathematics with Magma (Wieb Bosma and John Cannon, eds.), Springer, New York.
[3] R.P. Hansen (2011), Construction and Simplicity of the Large Mathieu Grout, Masters Theses 4053.
[4] B. G. Rodrigues (2003), Codes of Designs and Graphs from Finite Simple Groups, Ph.D. thesis, University of Natal, Pietermaritzburg,
[5] S.M. Tendai (2014), On the existence of self-dual codes invariant under permutation groups, MSc. thesis, University of KwaZulu-Natal.
How to cite this paper
@article{1702621,
author = {Vincent Nyongesa Marani},
title = {A Self-Dual and Doubly Even Code Related To Mathieu Group M24},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {4},
number = {9},
pages = {46-47},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702621.pdf},
abstract = {In this paper, we determine a self-dual and doubly even [24,12,8] code. We determine and discuss the properties of designs related to this code 2010 Mathematics Subject Classification: 94B 05C},
keywords = {self-dual, doubly even, Mathieu Group M24.},
month = {March},
}