A General Construction of Permutation Polynomials of ${\mathbb{F}}_{q^2}$

Xiang-dong Hou, Vincenzo Pallozzi Lavorante

Let $r$ be a positive integer, $h(X)\in {\mathbb{F}}_{q^2}[X]$, and ${\mu }_{q+1}$ be the subgroup of order $q+1$ of ${\mathbb{F}}_{q^2}^{\ast }$. It is well known that $X^{r}h(X^{q-1})$ permutes $\Bbb F_{q…