Some entanglement-assisted quantum MDS codes with large minimum distance

被引：1
|
作者：
Wang, Guohui [1 ,2 ]
Tang, Chunming [1 ,3 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Qinghai Univ, Sch Math & Phys, Xining 810016, Peoples R China
[3] Guangdong Prov Key Lab Informat Secur Technol, Guangzhou 510006, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2022年 / 21卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Quantum MDS codes; Entanglement-assisted quantum error-correcting codes; Generalized Reed-Solomon codes; CONSTRUCTION;
D O I：
10.1007/s11128-022-03635-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The construction of quantum maximum-distance-separable (MDS) error-correcting codes has become one of the hot topics in quantum coding theory. In this paper, based on classical Hermitian self-orthogonal generalized Reed-Solomon (GRS) codes, we construct some quantum MDS codes with large minimum distance. In addition, we obtain several families of MDS entanglement-assisted quantum error-correcting codes (EAQECCs) with flexible parameters. Notably, some of the distance parameters of our codes are greater than q/2 + 1.
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页数：20
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