Construction of Hermitian Self-Orthogonal Codes and Application

Yuezhen Ren (), Ruihu Li and Hao Song
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Yuezhen Ren: Fundamentals Department, Air Force Engineering University, Xi’an 710051, China
Ruihu Li: Fundamentals Department, Air Force Engineering University, Xi’an 710051, China
Hao Song: Fundamentals Department, Air Force Engineering University, Xi’an 710051, China

Mathematics, 2024, vol. 12, issue 13, 1-12

Abstract: 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.

Keywords: Hermitian self-orthogonal code; Hermitian linear complementary dual code; quantum error-correcting code (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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