Constructions of new entanglement-assisted quantum MDS and almost MDS codes

被引：44
|
作者：
Qian, Jianfa [1 ]
Zhang, Lina [1 ]
机构：
[1] Huizhou Univ, Sch Math & Big Data, Huizhou 516007, Guangdong, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 03期
关键词：
Cyclic code; Entanglement-assisted quantum code; MDS code;
D O I：
10.1007/s11128-019-2197-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we construct new entanglement-assisted quantum MDS codes with length n=q2+1. We also construct new entanglement-assisted quantum almost MDS codes with length n=q4-1. Most of entanglement-assisted quantum MDS and almost MDS codes presented here are new in the sense that their parameters are different from all the previously known ones.
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页数：12
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