Quantum negacyclic codes

被引：47

作者：

Kai, Xiaoshan ^{[1
]}

Zhu, Shixin ^{[1
]}

Tang, Yongsheng ^{[1
,2
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China

[2] Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China

来源：

PHYSICAL REVIEW A | 2013年 / 88卷 / 01期

关键词：

ERROR-CORRECTING CODES; MDS CODES;

D O I：

10.1103/PhysRevA.88.012326

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we construct families of nonbinary quantum codes from classical negacyclic codes. The BCH bound for negacyclic codes is applied to determine the dimension and distance of these quantum codes. The parameters of these quantum codes are good compared with the ones available in the literature. We also construct a family of quantum maximum-distance-separable codes with parameters [[q + 1, q - 2d + 3,d]](q), where q equivalent to 1 mod 4 and 2 <= d <= (q + 3)/2.

引用

页数：5

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