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A decoding algorithm for binary linear codes using Groebner bases.

Authors :
Randriamiarampanahy, Jean Jacques Ferdinand
Andriatahiny, Harinaivo
Rabeherimanana, Toussaint Joseph
Source :
International Journal of Mathematics & Computer Science. 2019, Vol. 14 Issue 2, p441-448. 8p.
Publication Year :
2019

Abstract

It has been discovered that linear codes may be described by binomial ideals. This makes it possible to study linear codes by commutative algebra and algebraic geometry methods. In this paper, we give a decoding algorithm for binary linear codes by utilizing the Groebner bases of the associated ideals. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18140424
Volume :
14
Issue :
2
Database :
Academic Search Index
Journal :
International Journal of Mathematics & Computer Science
Publication Type :
Academic Journal
Accession number :
135222371