Determination of a Class of Permutation Trinomials in Characteristic Three

Xiang-dong Hou, Ziran Tu, Xiangyong Zeng

Let $f(X)=X(1+a{X}^{q(q-1)}+b{X}^{2(q-1)})\in {\mathbb{F}}_{q^2}[X]$, where $a,b\in {\mathbb{F}}_{q^2}^{\ast }$. In a series of recent papers by several authors, sufficient conditions on $a$ and $b$ were…