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

<p>A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and <italic>k-</italic>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.</p>
</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.

DNA 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.

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...

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

Published Online: Mar 12, 2022

Page range: 89 - 108

Received: Jun 14, 2021

Accepted: Jul 31, 2021

DOI: https://doi.org/10.2478/auom-2022-0006

Keywords
Constacyclic codes, DNA codes, Frobenius local rings, Reversible codes

© 2022 C. A. Castillo-Guillén et al., published by Sciendo

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

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

Published Online: Mar 12, 2022

Page range: 89 - 108

Received: Jun 14, 2021

Accepted: Jul 31, 2021

DOI: https://doi.org/10.2478/auom-2022-0006

KeywordsConstacyclic codes, DNA codes, Frobenius local rings, Reversible codes

© 2022 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
Constacyclic codes, DNA codes, Frobenius local rings, Reversible codes