Secondary constructions of vectorial p-ary weakly regular bent functions

11/15/2022

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by   Amar Bapić, et al.

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In <cit.> a new method for the secondary construction of vectorial/Boolean bent functions via the so-called (P_U) property was introduced. In 2018, Qi et al. generalized the methods in <cit.> for the construction of p-ary weakly regular bent functions. The objective of this paper is to further generalize these constructions, following the ideas in <cit.>, for secondary constructions of vectorial p-ary weakly regular bent and plateaued functions. We also present some infinite families of such functions via the p-ary Maiorana-McFarland class. Additionally, we give another characterization of the (P_U) property for the p-ary case via second-order derivatives, as it was done for the Boolean case in <cit.>.