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

页数：12

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