New Binary Quantum Codes Constructed from Quasi-Cyclic Codes

被引：7

作者：

Guan, Chaofeng ^{[1
]}

Li, Ruihu ^{[1
]}

Lu, Liangdong ^{[1
]}

Yao, Yu ^{[1
]}

机构：

[1] Air Force Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2022年 / 61卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Binary quantum codes; Symplectic dual-containing codes; Quasi-cyclic codes; STABILIZER CODES;

D O I：

10.1007/s10773-022-05126-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generator quasi-cyclic codes and derives sufficient conditions for these codes to be symplectic dual-containing. Then, a new method for constructing binary quantum codes is proposed. As an application, we construct 8 binary quantum codes that exceed the best-known results. Further, another 36 new binary quantum codes are obtained by propagation rules, all of which improve the lower bound on the minimum distances.

引用

页数：9

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