Cubic Maiorana-McFarland bent functions with no affine derivative
MetadataShow full item record
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.
The article of record as published may be found at http://dx.doi.org/10.1080/23799927.2017.1304453
Showing items related by title, author, creator and subject.
Chung, Jong Ho (Monterey, California: Naval Postgraduate School, 2013-09);In this thesis, we study a type of affine equivalence for the monomial rotation-symmetric (MRS) Boolean func-tions and two new construction techniques for cryptographic Boolean functions based on the affine equivalence of ...
Kao, Chang-Lung (Monterey, California. Naval Postgraduate School, 1989-12);In computer vision many techniques have been developed for object recognition. The affine invariant matching algorithm proposed by Hummel and Wolfson (1988) is a new and interesting method. Under affine invariant ...
Gangopadhyay, Sugata; Gangopadhyay, Aditi Kar; Pollatos, Spyridon; Stănică, Pantelimon (2015-07-31);While performing cryptanalysis, it is of interest to approximate a Boolean function in n variables f : Fn → F2 by affine functions. Usually, it is assumed that all the input vectors to a Boolean function are equiprobable ...