Linear Codes Obtained from the Projective Symplectic groupPsP (8,2)

Linear Codes Obtained from the Projective Symplectic groupPsP (8,2)

Rukaria L.K1, Chikamai L2. & Prof Ireri Kamuti3

1-Technical University of Kenya,

2-Kibabii University,

3-Kenyatta University

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 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

Abstract

We discuss some binary codes constructed from the primitive permutation representation of degree 120 from the Projective Symplectic group   Some of these codes have interesting properties. We establish some properties of these codes and nature of the codewords.

Mathematics Subject Classification: 05B05, 20D45, 94B05

Keywords: Code, Design, Projective Symplectic Group, Self- Orthogonal Codes, Cyclic Code, Block Code, Autormorphism Group.

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