Construction of Hermitian Self-Orthogonal Codes and Application

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...

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Bibliographic Details
Published in:Mathematics (Basel) 2024-07, Vol.12 (13), p.2117
Main Authors: Ren, Yuezhen, Li, Ruihu, Song, Hao
Format: Article
Language:English
Subjects:
Codes
Error correction
Hermitian linear complementary dual code
Hermitian self-orthogonal code
Linear codes
Parameters
quantum error-correcting code
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12132117