DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]

The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring [Formula: see text]. We show an association between the codons and the elements of [F...

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Autores principales: Prakash, Om, Singh, Ashutosh, Verma, Ram Krishna, Solé, Patrick, Cheng, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9954914/
https://www.ncbi.nlm.nih.gov/pubmed/36832606
http://dx.doi.org/10.3390/e25020239
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author Prakash, Om
Singh, Ashutosh
Verma, Ram Krishna
Solé, Patrick
Cheng, Wei
author_facet Prakash, Om
Singh, Ashutosh
Verma, Ram Krishna
Solé, Patrick
Cheng, Wei
author_sort Prakash, Om
collection PubMed
description The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring [Formula: see text]. We show an association between the codons and the elements of [Formula: see text] using a Gray map. Under this Gray map, we study reversible and DNA codes of length n. Finally, several new DNA codes are obtained that have improved parameters than previously known codes. We also determine the Hamming and the Edit distances of these codes.
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spelling pubmed-99549142023-02-25 DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text] Prakash, Om Singh, Ashutosh Verma, Ram Krishna Solé, Patrick Cheng, Wei Entropy (Basel) Article The main motivation of this work is to study and obtain some reversible and DNA codes of length n with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring [Formula: see text]. We show an association between the codons and the elements of [Formula: see text] using a Gray map. Under this Gray map, we study reversible and DNA codes of length n. Finally, several new DNA codes are obtained that have improved parameters than previously known codes. We also determine the Hamming and the Edit distances of these codes. MDPI 2023-01-28 /pmc/articles/PMC9954914/ /pubmed/36832606 http://dx.doi.org/10.3390/e25020239 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Prakash, Om
Singh, Ashutosh
Verma, Ram Krishna
Solé, Patrick
Cheng, Wei
DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title_full DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title_fullStr DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title_full_unstemmed DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title_short DNA Code from Cyclic and Skew Cyclic Codes over [Formula: see text]
title_sort dna code from cyclic and skew cyclic codes over [formula: see text]
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9954914/
https://www.ncbi.nlm.nih.gov/pubmed/36832606
http://dx.doi.org/10.3390/e25020239
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