2 research outputs found
A new method for secondary constructions of vectorial bent functions
In 2017, Tang et al. have introduced a generic construction for bent functions of the form , where is a bent function satisfying some conditions and is a Boolean function. Recently, Zheng et al. generalized this result to construct large classes of bent vectorial Boolean function from known ones in the form , where is a bent vectorial and a Boolean function. In this paper we further generalize this construction to obtain vectorial bent functions of the form , where is also a vectorial Boolean function. This allows us to construct new infinite families of vectorial bent functions, EA-inequivalent to , which was used in the construction. Most notably, specifying , the function can be chosen arbitrary which gives a relatively large class of different functions for a fixed function . We also propose a method of constructing vectorial -functions having maximal number of bent components