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Journal of Applied Mathematics and Computing

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15-03-2017 | Original Research

Skew-cyclic codes over \(B_k\)

Authors: Irwansyah, Aleams Barra, Intan Muchtadi-Alamsyah, Ahmad Muchlis, Djoko Suprijanto

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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Abstract

In this paper we study the structure of \(\theta \)-cyclic codes over the ring \(B_k\) including its connection to quasi-\({\tilde{\theta }}\)-cyclic codes over finite field \({\mathbb {F}}_{p^r}\) and skew polynomial rings over \(B_k\). We also characterize Euclidean self-dual \(\theta \)-cyclic codes over the rings. Finally, we give the generator polynomial for such codes and some examples of optimal Euclidean \(\theta \)-cyclic codes.

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Irwansyah, A., Barra, S.T., Dougherty, A., Muchlis, I., Muchtadi-Alamsyah, I., Solé, P., Suprijanto, D., Yemen, O.: \(\Theta _S\)-cyclic codes over \(A_k\). Int. J. Comput. Math. Comput. Syst. Theory 1(1), 14–31 (2016)MathSciNetCrossRef

Title: Skew-cyclic codes over
Authors: Irwansyah
Aleams Barra
Intan Muchtadi-Alamsyah
Ahmad Muchlis
Djoko Suprijanto
Publication date: 15-03-2017
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-017-1095-2

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