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...

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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
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