Some New Classes of Quantum MDS Codes From Constacyclic Codes

被引：62

作者：

Zhang, Tao ^{[1
]}

Ge, Gennian ^{[2
,3
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[3] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Quantum MDS codes; constacyclic codes; Hermitian construction; cyclotomic cosets;

D O I：

10.1109/TIT.2015.2450235

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Quantum maximum-distance-separable (MDS) codes form an important family of quantum codes. In this paper, using Hermitian construction and classical constacyclic codes, we construct six classes of quantum MDS codes. Two of these six classes of quantum MDS codes have larger minimum distance than the ones available in the literature. Most of these quantum MDS codes are new in the sense that their parameters are not covered by the codes available in the literature.

引用

页码：5224 / 5228

页数：5

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