A note on non-splitting Z-bent functions

Thumbnail Image
Authors
Gangopadhyay, Sugata
Pasalic, Enes
Stănică, Pantelimon
Datta, Saral
Subjects
Cryptography
Z-bent functions
Fourier spectrum
Walsh-Hadamard spectrum
Advisors
Date of Issue
2017
Date
Publisher
Elsevier
Language
Abstract
In this note, we find constructions of non-splitting Z-bent functions, thus solving an open problem of Dobbertin and Leander (2008) [4]. Under some technical conditions, we also construct Z-bent functions of level r+1 that are not splitting into Z-bent functions of level r≥0.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1016/j.ipl.2017.01.001
URI
https://hdl.handle.net/10945/55173
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Office of Naval Research Global
Funder
VSP award no. N62909-13-1-V105
Format
5 p.
Citation
S. Gangopadhyay, E. Pasalic, P. Stănica, S. Datta, "A note on non-splitting Z-bent functions,", Information Processing Letters, v.121, (2017), pp. 1-5.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections
Publications
Load more