Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed-Solomon codes

被引：6
|
作者：
Tian, Fuyin [1 ]
Zhu, Shixin [1 ]
机构：
[1] HeFei Univ Technol, Sch Math, Hefei 230009, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2020年 / 19卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Entanglement-assisted quantum error-correcting MDS codes; Generalized Reed-Solomon codes; Hermitian hull; CONSTACYCLIC CODES; MINIMUM DISTANCE;
D O I：
10.1007/s11128-020-02704-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Entanglement-assisted quantum maximum distance separable (MDS) codes form a significant class of quantum codes. By using generalized Reed-Solomon (GRS) codes and extended GRS codes, we construct some new classes of q-ary entanglement-assisted quantum error-correcting MDS codes. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature.
引用
收藏
页数：28
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