Finding a generator matrix of a multidimensional cyclic code

Document Type : Research Paper

Authors

1 Department of Mathematics and Computer Science, University of Antananarivo, Antananarivo, Madagascar

2 Department of Mathematics, University of Antananarivo, Antananarivo, Madagascar

3 Department of Mathematics, University of Antananarivo, p.O.Box 906,101 Antananarivo, Madagascar

Abstract

We generalize Sepasdar's method for finding a gene-
\\rator matrix of two-dimensional cyclic codes to find a generating set and a linearly independent subset of a general multicyclic code. From these sets, a basis of the code as a vector subspace can be deduced or constructed. A generator matrix can be then deduced from this basis.

Keywords

Journal of Algebra and Related Topics
Volume 7, Issue 2
December 2019
Pages 63-83

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