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
Descripción
Sumario: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.

Ejemplares similares