New quantum MDS codes over finite fields

被引：12
|
作者：
Fang, Xiaolei [1 ,2 ]
Luo, Jinquan [1 ,2 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2020年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quantum MDS code; Generalized Reed-Solomon code; Hermitian construction; Hermitian self-orthogonal; CONSTACYCLIC CODES; CONSTRUCTION;
D O I：
10.1007/s11128-019-2506-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：17
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