Multicyclic Codes and Algebraic Dynamical Systems
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 2
Abstract
We present the structures within group algebras constructed from commutative groups and finite fields. Then we define and construct multicyclic codes in these group algebras. At the end, in the frame of the decoding process, we give a characterization of the locator ideal to the multidimensional case. All of this is done using algebraic dynamical systems, which explains the underlying mathematical objects.
Authors and Affiliations
R. M. Lalasoa, T. J. Rabeherimanana
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