IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v23y2012i01ns0129183111017020.html
   My bibliography  Save this article

ON 1D REVERSIBLE CELLULAR AUTOMATA WITH REFLECTIVE BOUNDARY OVER THE PRIME FIELD OF ORDERp

Author

Listed:
  • HASAN AKIN

    (Faculty of Education, Zirve University, 27260, Gaziantep, Turkey)

  • FERHAT SAH

    (Department of Engineering Mathematics, Faculty of Chemical and Metallurgical Engineering, Yildiz Technical University, Davutpasa Campus, 34210 Esenler, Istanbul, Turkey)

  • IRFAN SIAP

    (Department of Mathematics, Arts and Science Faculty, Yildiz Technical University, Davutpasa Campus, 34210 Esenler, Istanbul, Turkey)

Abstract

In this paper, we study one dimensional finite linear cellular automata with reflective boundary condition by using matrix algebra built on the fieldℤp. We present an algorithm for determining the reversibility of this family of cellular automata. We also answer the reversibility question for some special subfamilies. Finally, we present some examples of this family of cellular automata under the reflective boundary condition.

Suggested Citation

  • Hasan Akin & Ferhat Sah & Irfan Siap, 2012. "ON 1D REVERSIBLE CELLULAR AUTOMATA WITH REFLECTIVE BOUNDARY OVER THE PRIME FIELD OF ORDERp," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:01:n:s0129183111017020
    DOI: 10.1142/S0129183111017020
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183111017020
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183111017020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:ijmpcx:v:23:y:2012:i:01:n:s0129183111017020. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.