PERMUTAON POLYNOMIALS OF THE TYPE 1+frac{q-1}{m}} + ax$
Seog-Young Kim, June-Bok Lee · Communications of the Korean Mathematical Society · 1995
In this paper, we prove that $x^{1+\frac{q-1}{5}} + ax (a eq 0)$ is not a permutation polynomial over $F_{q^r} (r \geq 2)$ and we show some properties of $x^{1+\frac{q-1}{m}} + ax (a eq 0)$ over $F_{q^r} (r \geq 2)$.