Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the higher-order nonlinearity of a new class of biquadratic Maiorana–McFarland type bent functions

On the higher-order nonlinearity of a new class of biquadratic Maiorana–McFarland type bent... In 1974, Dillon introduced two significant classes of bent functions, namely the Maiorana–McFarland class and the Partial Spread class. In this article, we studied a new subclass of biquadratic Maiorana–McFarland type bent functions and presented a lower bound on the third-order nonlinearity of this class. The resulting lower bounds are better than the ones from the earlier bounds of Carlet (for all biquadratic Boolean functions) and Garg et al. (for a different subclass). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applicable Algebra in Engineering Communication and Computing Springer Journals

On the higher-order nonlinearity of a new class of biquadratic Maiorana–McFarland type bent functions

Loading next page...
 
/lp/springer-journals/on-the-higher-order-nonlinearity-of-a-new-class-of-biquadratic-x9YjmQqUlM

References (23)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0938-1279
eISSN
1432-0622
DOI
10.1007/s00200-023-00611-9
Publisher site
See Article on Publisher Site

Abstract

In 1974, Dillon introduced two significant classes of bent functions, namely the Maiorana–McFarland class and the Partial Spread class. In this article, we studied a new subclass of biquadratic Maiorana–McFarland type bent functions and presented a lower bound on the third-order nonlinearity of this class. The resulting lower bounds are better than the ones from the earlier bounds of Carlet (for all biquadratic Boolean functions) and Garg et al. (for a different subclass).

Journal

Applicable Algebra in Engineering Communication and ComputingSpringer Journals

Published: May 31, 2023

Keywords: Boolean function; Walsh Hadamard transform; Higher-order nonlinearity; Maiorana–McFarland type bent functions.; 94A60; 4C109; 06E30

There are no references for this article.