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.

引用

页数：12

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