DNA 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-2022-0006

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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 30 (2022): Issue 1 (February 2022)

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

Open Access

|Mar 2022

Abstract

A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established. Using this map the structure of DNA codes over these rings is determined, the length of the code is relatively prime to the characteristic of the residue field of the ring.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2022-0006 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 89 - 108

Submitted on: Jun 14, 2021

Accepted on: Jul 31, 2021

Published on: Mar 12, 2022

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Constacyclic codes,

DNA codes,

Frobenius local rings,

Reversible codes

Related subjects:

Mathematics,

General mathematics

© 2022 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 30 (2022): Issue 1 (February 2022)