New Constructions of Permutation Polynomials of the Form $x^{r}h\left(x^{q-1}\right)$ over ${\mathbb{F}}_{q^2}$

Kangquan Li, Longjiang Qu, Qiang Wang

Permutation polynomials over finite fields have been studied extensively recently due to their wide applications in cryptography, coding theory, communication theory, among others.…