CONSTRUCTIONS OF SYMPLECTIC LCD MDS CODES FROM QUASI-CYCLIC CODES

被引：3

作者：

Huang, Xia ^{[1
]}

Li, Jin ^{[1
]}

Huang, Shan ^{[2
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230601, Peoples R China

[2] Anhui Vocat Coll Police Officers, Dept Informat Management, Hefei 230031, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2022年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Quasi-cyclic codes; symplectic LCD codes; MDS codes; entanglement-assisted quantum error-correcting codes; QUANTUM CODES; LINEAR CODES; COMPLEMENTARY;

D O I：

10.3934/amc.2022051

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Linear complementary dual (LCD) codes play an important role in data storage, communications systems and cryptography. In this paper, we construct some symplectic LCD codes from quasi-cyclic (QC) codes, and prove that these symplectic LCD codes with dimension two over F-2a are maximum-distance-separable (MDS) codes. By extending the generator matrices of symplectic LCD MDS codes with dimension two, we obtain a series of symplectic LCD codes over F-2a. As an application, some new entanglement-assisted quantum error-correcting codes (EAQECCs) over F-2a are constructed by symplectic LCD codes.

引用

页码：779 / 790

页数：12

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