Skip to main navigation Skip to search Skip to main content

Towards the Gibbs Characterization of a Class of Quaternary Bent Functions

  • Radomir S. Stanković
  • , Milena Stanković
  • , Jaakko T. Astola
  • , Claudio Moraga

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

    2 Citations (Scopus)

    Abstract

    Bent functions generalized to the alphabet Zq, the ring of integers modulo q, are interesting not just in the realm of multiple-valued functions, but have some applications in the binary environment. The case q = 4, i.e., quaternary bent functions, are of a particular interest due to a simple relationship to binary functions. We consider the possibilities for characterization of quaternary bent functions in terms of the Gibbs derivatives defined with respect to the Reed-Muller-Fourier (RMF) transform for q-valued functions. It is shown that quaternary bent functions can be split into classes of functions sharing the same values for their Gibbs derivatives.

    Original languageEnglish
    Title of host publicationProceedings - 2017 IEEE 47th International Symposium on Multiple-Valued Logic, ISMVL 2017
    PublisherIEEE
    Pages73-78
    Number of pages6
    ISBN (Electronic)9781509054954
    DOIs
    Publication statusPublished - 30 Jun 2017
    Publication typeA4 Article in conference proceedings
    EventIEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC -
    Duration: 1 Jan 1900 → …

    Publication series

    Name
    ISSN (Electronic)2378-2226

    Conference

    ConferenceIEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC
    Period1/01/00 → …

    Keywords

    • Bent functions
    • Gibbs drerivatives
    • multiple-valued logic
    • quaternary functions

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • General Computer Science
    • General Mathematics

    Fingerprint

    Dive into the research topics of 'Towards the Gibbs Characterization of a Class of Quaternary Bent Functions'. Together they form a unique fingerprint.

    Cite this