Special values of Kloosterman sums and binomial bent functions

Chunming Tang, Yanfeng Qi

Let $p\ge 7$, $q=p^m$. $K_q(a)={\sum }_{x\in {\mathbb{F}}_{p^m}}{\zeta }^{{\mathrm{Tr}}_1^m(x^{p^m-2}+ax)}$ is the Kloosterman sum of $a$ on ${\mathbb{F}}_{p^m}$, where $ζ=e^{\frac{2π\sqrt{-1}}{p…