Construction of Hermitian Self-Orthogonal Codes and Application

被引：1
|
作者：
Ren, Yuezhen [1 ]
Li, Ruihu [1 ]
Song, Hao [1 ]
机构：
[1] AF Engn Univ, Fundamentals Dept, Xian 710051, Shaanxi, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Hermitian self-orthogonal code; Hermitian linear complementary dual code; quantum error-correcting code; LINEAR CODES; DUAL CODES; CLASSIFICATION;
D O I：
10.3390/math12132117
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce some methods for constructing quaternary Hermitian self-orthogonal (HSO) codes, and construct quaternary [n, 5] HSO for 342 <= n <= 492. Furthermore, we present methods of constructing Hermitian linear complementary dual (HLCD) codes from known HSO codes, and obtain many HLCD codes with good parameters. As an application, 31 classes of entanglement-assisted quantum error correction codes (EAQECCs) with maximal entanglement can be obtained from these HLCD codes. These new EAQECCs have better parameters than those in the literature.
引用
收藏
页数：12
相关论文
共 50 条
12345