Cubic Maiorana-McFarland bent functions with no affine derivative
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Authors
Mandal, Bimal
Gangopadhyay, Sugata
Stănică, Pantelimon
Advisors
Second Readers
Subjects
bent functions
Boolean functions
vector spaces
differentials
counting
Boolean functions
vector spaces
differentials
counting
Date of Issue
2017
Date
Publisher
Taylor & Francis
Language
Abstract
A class of cubic Maiorana–McFarland (M) bent functions having no affine derivative was constructed by Canteaut and Charpin [ Decomposing bent functions, IEEE Trans. Inform. Theory 49(8) (2003), pp. 2004–2019], thereby solving an open problem posed by Hou [Cubic bent functions, Discrete Math. 189 (1998), pp. 149–161]. The goal of the paper is twofold: we construct two classes of cubic M bent functions with no affine derivative and show their mutual affine Inequivalence.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1080/23799927.2017.1304453
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
IIT Roorke
Format
14 p.
Citation
Mandal, Bimal, Sugata Gangopadhyay, and Pantelimon Stănică. "Cubic Maiorana–McFarland bent functions with no affine derivative." International Journal of Computer Mathematics: Computer Systems Theory 2.1 (2017): 14-27
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.