Secondary constructions of vectorial $p$-ary weakly regular bent functions
Information Theory
2022-11-22 v1 Cryptography and Security
math.IT
Abstract
In \cite{Bapic, Tang, Zheng} a new method for the secondary construction of vectorial/Boolean bent functions via the so-called property was introduced. In 2018, Qi et al. generalized the methods in \cite{Tang} for the construction of -ary weakly regular bent functions. The objective of this paper is to further generalize these constructions, following the ideas in \cite{Bapic, Zheng}, for secondary constructions of vectorial -ary weakly regular bent and plateaued functions. We also present some infinite families of such functions via the -ary Maiorana-McFarland class. Additionally, we give another characterization of the property for the -ary case via second-order derivatives, as it was done for the Boolean case in \cite{Zheng}.
Cite
@article{arxiv.2211.11516,
title = {Secondary constructions of vectorial $p$-ary weakly regular bent functions},
author = {Amar Bapić},
journal= {arXiv preprint arXiv:2211.11516},
year = {2022}
}