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.
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页数：12
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