A New Approach to Permutation Polynomials over Finite Fields, II

Neranga Fernando, Xiang-dong Hou, Stephen D. Lappano

Let $p$ be a prime and $q$ a power of $p$. For $n\ge 0$, let $g_{n,q}\in {\mathbb{F}}_p[\mathtt{x}]$ be the polynomial defined by the functional equation $\sum_{a\in\Bbb F_q}({\tt x}+a)^n=g_…