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Towards the Structure of a Class of Permutation Matrices Associated With Bent Functions

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

Details

Original languageEnglish
Title of host publicationProceedings of the 13 International Workshop on Boolean Problems
PublisherSpringer
Pages83-105
ISBN (Electronic)978-3-030-20323-8
ISBN (Print)978-3-030-20322-1
DOIs
Publication statusPublished - 2018
Publication typeA4 Article in a conference publication
EventINTERNATIONAL WORKSHOP ON BOOLEAN PROBLEMS -
Duration: 1 Jan 1900 → …

Conference

ConferenceINTERNATIONAL WORKSHOP ON BOOLEAN PROBLEMS
Period1/01/00 → …

Abstract

Bent functions, that are useful in cryptographic applications, can be characterized in different ways. A recently formulated characterization is in terms of the Gibbs dyadic derivative. This characterization can be interpreted through permutation matrices associated with bent functions by this differential operator. We point out that these permutation matrices express some characteristic block structure and discuss a possible determination of it as a set of rules that should be satisfied by the corresponding submatrices. We believe that a further study of this structure can bring interesting results providing a deeper insight into features of bent functions.

Publication forum classification

Field of science, Statistics Finland