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
收藏
页码：779 / 790
页数：12
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