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Gibbs characterization of binary and ternary bent functions

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Details

Original languageEnglish
Title of host publication2016 IEEE 46th International Symposium on Multiple-Valued Logic, ISMVL 2016
PublisherIEEE COMPUTER SOCIETY PRESS
Pages205-210
Number of pages6
ISBN (Electronic)9781467394888
DOIs
Publication statusPublished - 18 Jul 2016
Publication typeA4 Article in a conference publication
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 → …

Abstract

The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.

ASJC Scopus subject areas

Keywords

  • Bent functions, Gibbs dyadic derivatives, Vilenkin-Chrestenson transform, Walsh transform

Publication forum classification

Field of science, Statistics Finland