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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.
Ren et al. (Fri,) studied this question.
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