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

C. A. Castillo-Guillén; C. Álvarez-García

doi:10.2478/auom-2021-0017

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 2 (June 2021)

By: C. A. Castillo-Guillén and C. Álvarez-García

Open Access

|Jul 2021

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2021-0017 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 25 - 50

Submitted on: Aug 29, 2020

Accepted on: Oct 30, 2020

Published on: Jul 8, 2021

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Complementary dual codes,

Related subjects:

© 2021 C. A. Castillo-Guillén, C. Álvarez-García, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 2 (June 2021)