On quadratic binomial vectorial functions with maximal bent components

Xianhong Xie, Yi Ouyang, Shenxing Zhang

Assume $n=2m\ge 2$ and let $F(x)=x^{d_1}+x^{d_2}$ be a binomial vectorial function over $\F_{2^n}$ possessing the maximal number (i.e. $2^n-2^m$) of bent components. Suppose the $…