New quantum MDS codes over finite fields

New quantum MDS codes over finite fields

In this paper, we present three new classes of q -ary quantum MDS codes utilizing generalized Reed–Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some q -ary quantum MDS codes can be bigger than q 2 + 1 . Comparing to previous known cons...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Quantum information processing 2020, Vol.19 (1), Article 16
Hauptverfasser: Fang, Xiaolei, Luo, Jinquan
Format: Artikel
Sprache:eng
Schlagworte:
Codes
Data Structures and Information Theory
Fields (mathematics)
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we present three new classes of q -ary quantum MDS codes utilizing generalized Reed–Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some q -ary quantum MDS codes can be bigger than q 2 + 1 . Comparing to previous known constructions, the lengths of codes in our constructions are more flexible.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-019-2506-0