On primary construction of Plateaued functions

Abstract

Abstract. To resist different kinds of attacks, Boolean functions used in the cryptosystem should have good cryptographic properties. The Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good choices. Therefore, the study of construction and cryptographic properties of Plateaued functions has received wide attention. However, until now, there are few primary constructions known to us, in which one does not assume the existence of previously defined functions to define new ones. Moreover, most of them have some drawbacks. In this paper, a new primary construction of Plateaued functions is given. And we show in particular that most of the existing primary constructions of Plateaued functions can be reduced to ours.