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Some Non-Isomorphic Binary Codes of Degree 253 Related to Mathieu Group M23
Subject area: Science,Engineering and Technology · Area of research: coding theory
Abstract
In this paper, we determine some non-isomorphic linear binary codes of degree 253 related to Mathieu group M23. We discuss their properties. We further determine and discuss some properties of designs related to these codes
Keywords
Non-Isomorphic Binary Codes, Mathieu Group M23
References
[1] R. A. Wilson, R. A. Parker, and J. N. Bray, Atlas of Finite Group Representations, http://brauer.maths.qmul.ac.uk/Atlas/clas/S62/.
[2] V.N. Marani (2019), Some Linear Codes, Graphs and Designs From Mathieu Groups M24 and M23. Ph.D. Thesis, Kibabii University.
[3] B. G. Rodrigues (2003), Codes of Designs and Graphs from Finite Simple Groups, Ph.D. thesis, University of Natal, Pietermaritzburg,
How to cite this paper
@article{1702776,
author = {Vincent Nyongesa Marani},
title = {Some Non-Isomorphic Binary Codes of Degree 253 Related to Mathieu Group M23},
journal = {Iconic Research And Engineering Journals},
year = {2021},
volume = {4},
number = {12},
pages = {286-290},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1702776.pdf},
abstract = {In this paper, we determine some non-isomorphic linear binary codes of degree 253 related to Mathieu group M23. We discuss their properties. We further determine and discuss some properties of designs related to these codes},
keywords = {Non-Isomorphic Binary Codes, Mathieu Group M23},
month = {June},
}