On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications

The key objective of this paper is to study the cyclic codes over mixed alphabets on the structure of [Formula: see text] , where [Formula: see text] and [Formula: see text] are nonchain finite rings and [Formula: see text] is in [Formula: see text] for [Formula: see text] , where [Formula: see text...

Descripción completa

Detalles Bibliográficos
Autores principales: Ali, Shakir, Alali, Amal S., Sharma, Pushpendra, Wong, Kok Bin, Öztas, Elif Segah, Jeelani, Mohammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453828/
https://www.ncbi.nlm.nih.gov/pubmed/37628191
http://dx.doi.org/10.3390/e25081161
_version_ 1785096038469599232
author Ali, Shakir
Alali, Amal S.
Sharma, Pushpendra
Wong, Kok Bin
Öztas, Elif Segah
Jeelani, Mohammad
author_facet Ali, Shakir
Alali, Amal S.
Sharma, Pushpendra
Wong, Kok Bin
Öztas, Elif Segah
Jeelani, Mohammad
author_sort Ali, Shakir
collection PubMed
description The key objective of this paper is to study the cyclic codes over mixed alphabets on the structure of [Formula: see text] , where [Formula: see text] and [Formula: see text] are nonchain finite rings and [Formula: see text] is in [Formula: see text] for [Formula: see text] , where [Formula: see text] with [Formula: see text] is a positive integer and p is an odd prime. Moreover, with the applications, we obtain better and new quantum error-correcting (QEC) codes. For another application over the ring P, we obtain several optimal codes with the help of the Gray image of cyclic codes.
format Online
Article
Text
id pubmed-10453828
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-104538282023-08-26 On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications Ali, Shakir Alali, Amal S. Sharma, Pushpendra Wong, Kok Bin Öztas, Elif Segah Jeelani, Mohammad Entropy (Basel) Article The key objective of this paper is to study the cyclic codes over mixed alphabets on the structure of [Formula: see text] , where [Formula: see text] and [Formula: see text] are nonchain finite rings and [Formula: see text] is in [Formula: see text] for [Formula: see text] , where [Formula: see text] with [Formula: see text] is a positive integer and p is an odd prime. Moreover, with the applications, we obtain better and new quantum error-correcting (QEC) codes. For another application over the ring P, we obtain several optimal codes with the help of the Gray image of cyclic codes. MDPI 2023-08-02 /pmc/articles/PMC10453828/ /pubmed/37628191 http://dx.doi.org/10.3390/e25081161 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
Ali, Shakir
Alali, Amal S.
Sharma, Pushpendra
Wong, Kok Bin
Öztas, Elif Segah
Jeelani, Mohammad
On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title_full On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title_fullStr On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title_full_unstemmed On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title_short On Optimal and Quantum Code Construction from Cyclic Codes over [Formula: see text] (q)PQ with Applications
title_sort on optimal and quantum code construction from cyclic codes over [formula: see text] (q)pq with applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453828/
https://www.ncbi.nlm.nih.gov/pubmed/37628191
http://dx.doi.org/10.3390/e25081161
work_keys_str_mv AT alishakir onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications
AT alaliamals onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications
AT sharmapushpendra onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications
AT wongkokbin onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications
AT oztaselifsegah onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications
AT jeelanimohammad onoptimalandquantumcodeconstructionfromcycliccodesoverformulaseetextqpqwithapplications

Ejemplares similares