Quantum MDS and Synchronizable Codes From Cyclic and Negacyclic Codes of Length 2ps Over Fpm

Let p be an odd prime, and F p(m) is the finite field of p m elements. In this paper, all maximum distance separable (briefly, MDS) cyclic and negacyclic codes of length 2p s over F p(m) are established. As an application, all quantum MDS (briefly, qMDS) codes are constructed from cyclic and negacyc...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	IEEE access 2020, Vol.8, p.124608-124623
Hauptverfasser:	Dinh, Hai Q., Nguyen, Bac T, Yamaka, Woraphon
Format:	Artikel
Sprache:	eng
Schlagworte:	Computers Cyclic codes Hamming distance Information theory MDS codes Photonics Quantum entanglement quantum MDS codes quantum synchronizable codes Qubit repeated-root codes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!