<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of <italic>γ</italic>-constacyclic codes is established and the algebraic characterization of self-dual, reversible <italic>γ</italic>-constacyclic codes and <italic>γ</italic>-constacyclic codes with complementary dual are given.</p>
</abstract>

Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given.

Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Universidades para el Bienestar Benito Juárez García

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the...

Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Published Online: Jul 08, 2021

Page range: 25 - 50

Received: Aug 29, 2020

Accepted: Oct 30, 2020

DOI: https://doi.org/10.2478/auom-2021-0017

Keywords
Complementary dual codes, Constacyclic codes, Dual codes, Frobenius rings, Reversible codes, Self-dual codes

© 2021 C. A. Castillo-Guillén et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Published Online: Jul 08, 2021

Page range: 25 - 50

Received: Aug 29, 2020

Accepted: Oct 30, 2020

DOI: https://doi.org/10.2478/auom-2021-0017

KeywordsComplementary dual codes, Constacyclic codes, Dual codes, Frobenius rings, Reversible codes, Self-dual codes

© 2021 C. A. Castillo-Guillén et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Complementary dual codes, Constacyclic codes, Dual codes, Frobenius rings, Reversible codes, Self-dual codes