An Open Problem on the Bentness of Mesnager's Functions

Chunming Tang, Peng Han, Qi Wang +2

Let $n=2m$. In the present paper, we study the binomial Boolean functions of the form $$f_{a,b}(x)={\mathrm{Tr}}_1^n(a{x}^{2^m-1})+{\mathrm{Tr}}_1^2(b{x}^{\frac{2^n-1}{3}}),$$ w…