Authors: Moraga, Claudio
Stanković, Radomir 
Stanković, Milena
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: p-valued Maiorana-McFarland Functions Structure of Their Reed-Muller Spectra
Journal: Journal of Applied Logics
Volume: 10
Issue: 6
First page: 1131
Last page: 1151
Issue Date: 1-Dec-2023
ISSN: 2631-9810
Abstract: 
p-valued Maiorana-McFarland bent functions exist, as in the binary case, only for an even number of variables and they are normally associated to their Discrete Fourier spectra in order to specify their bentness through the flatness of the spectra. In this paper, a closely related, but different approach is considered. Structural properties of the Reed-Muller spectra of p-valued Maiorana-McFarland bent functions are studied when p > 2 is a prime. It is shown that the Reed-Muller spectra of p-valued Maiorana-McFarland bent functions have a regressive structure, parameterized by p and k, where n = 2k denotes the even number of variables.
Publisher: College Publications

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