A class of permutation trinomials over finite fields
Xiang‐dong Hou · Acta Arithmetica · 2014
Let $q>2$ be a prime power and $f=-{\tt x}+t{\tt x}^q+{\tt x}^{2q-1}$, where $t\in \mathbb F_q^*$. We prove that $f$ is a permutation polynomial of $\mathbb F_{q^2}$ if and only if one of the following occurs: (i) $q$ is even and $\text {Tr}_{q/2}({{