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Construction of Hermitian Self-Orthogonal Codes and Application

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yuezhen Ren & Ruihu Li & Hao Song, 2024. "Construction of Hermitian Self-Orthogonal Codes and Application," Mathematics, MDPI, vol. 12(13), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2117-:d:1429786
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