Pseudo-cyclic Codes and the Construction of Quantum MDS Codes

被引：34
|
作者：
Li, Shuxing [1 ]
Xiong, Maosheng [2 ]
Ge, Gennian [3 ,4 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[4] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2016年 / 62卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hermitian construction; pseudo-cyclic codes; quantum MDS codes; CONSTACYCLIC CODES; ERROR-CORRECTION;
D O I：
10.1109/TIT.2016.2535180
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Constacyclic codes which generalize the classical cyclic codes have played important roles in recent constructions of many new quantum maximum distance separable (MDS) codes. However, the mathematical mechanism may not have been fully understood. In this paper, we use pseudo-cyclic codes, which is a further generalization of constacyclic codes, to construct the quantum MDS codes. We can not only provide a unified explanation of many previous constructions, but also produce some new quantum MDS codes.
引用
收藏
页码：1703 / 1710
页数：8
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