IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i21p3316-d1504279.html
   My bibliography  Save this article

New Constructions of One-Coincidence Sequence Sets over Integer Rings

Author

Listed:
  • Jin-Ho Chung

    (Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea)

  • Daehan Ahn

    (Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea)

  • Daehwan Kim

    (Department of Electrical, Electronic, and Computer Engineering, University of Ulsan, Ulsan 44610, Republic of Korea)

Abstract

In this paper, we introduce new constructions of one-coincidence frequency-hopping sequence (OC-FHS) sets over integer rings. These OC-FHSs are designed to minimize interference in frequency-hopping multiple access (FHMA) systems, which are widely used in various communication applications. By leveraging the properties of primitive elements in integer ring Z p n , we develop OC-FHS sets with lengths m p n − 1 for m dividing ( p − 1 ) , along with constructions with composite lengths based on linear functions. The proposed OC-FHS sets include parameters not previously addressed in the literature and encompass some known cases as special cases.

Suggested Citation

  • Jin-Ho Chung & Daehan Ahn & Daehwan Kim, 2024. "New Constructions of One-Coincidence Sequence Sets over Integer Rings," Mathematics, MDPI, vol. 12(21), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3316-:d:1504279
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/21/3316/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/21/3316/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3316-:d:1504279. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.