SOME PROPERTIES OF PROJECTIVE GEOMETRY IN CODING THEORY

Sadiki, Flamure (2021) SOME PROPERTIES OF PROJECTIVE GEOMETRY IN CODING THEORY. Journal of Natural Sciences and Mathematics of UT, 6 (11-12). pp. 118-122. ISSN 2671-3039

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Abstract

In this article we present the basic properties of projective geometry and coding theory and show how finite geometry can contribute to coding theory. Often good codes come from interesting structures in projective geometries. For example, MDS codes come from arcs (i.e. sets of points which are extremal in the sense that they admit no other than the obvious dependencies).We concentrate on introducing the basic concepts of these two research areas and give standard references for all these research areas. We also mention particular results involving ideas from finite geometry, and particular results in coding theory.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Unnamed user with email zshi@unite.edu.mk
Date Deposited: 01 Sep 2021 11:31
Last Modified: 01 Sep 2021 11:31
URI: http://eprints.unite.edu.mk/id/eprint/726

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