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Optimal Constructions of Low-Hit Zone Frequency-Hopping Sequence Set Based on m -Sequence

Author

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  • Changyuan Wang

    (The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China)

  • Yi Zhang

    (The School of Electronic Information Engineering, Yibin University, Yibin 644000, China)

  • Wanan Yang

    (The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China)

  • Chunhua Ren

    (The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China)

Abstract

Quasi-Synchronous Frequency hopping (FH) Multiple Access (QS-FHMA) systems feature high communication efficiency, strong flexibility, and low operational costs, and they have been widely used in various FH communication scenarios such as satellite communication, military communication, and radio measurement. The low-hit zone (LHZ) FH sequences set (LHZ FHS set) plays a critical role in QS-FHMA systems, enabling user access with permissible time-delay offsets while maintaining superior performance. In this paper, three new methods to construct LHZ FHS sets based on m -sequences are proposed. The newly constructed sequence sets achieve optimality with respect to the Peng–Fan bound. Compared with existing LHZ FHS sets constructed from m -sequences, these new sequence sets offer more flexible parameters. Furthermore, due to the simple structure of m -sequences and their extensive adoption in engineering applications, the proposed new sequence sets possess significant practical value for engineering implementation.

Suggested Citation

  • Changyuan Wang & Yi Zhang & Wanan Yang & Chunhua Ren, 2025. "Optimal Constructions of Low-Hit Zone Frequency-Hopping Sequence Set Based on m -Sequence," Mathematics, MDPI, vol. 13(14), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2228-:d:1697934
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