Construction of Hermitian Self-Orthogonal Codes and Application

Autor: Yuezhen Ren, Ruihu Li, Hao Song
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 13, p 2117 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12132117
Popis: 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.
Databáze: Directory of Open Access Journals