More constructions of semi-bent and plateaued functions in polynomial forms

Abstract

Plateaued functions and their subclass semi-bent functions have useful applications in cryptography and communications. In this paper we give new constructions of quadratic semi-bent functions in polynomial forms on the finite field $$\mathbb {F}_{2^n}$$ for both odd and even n. We also present some characterizations of e-plateaued functions with few trace terms when n is even.