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A Class of Permutation Trinomials over Finite Fields
Published 3 Mar 2013 in math.NT | (1303.0568v1)
Abstract: Let $q>2$ be a prime power and $f=-{\tt x}+t{\tt x}q+{\tt x}{2q-1}$, where $t\in\Bbb F_q*$. We prove that $f$ is a permutation polynomial of $\Bbb F_{q2}$ if and only if one of the following occurs: (i) $q$ is even and $\text{Tr}_{q/2}(\frac 1t)=0$; (ii) $q\equiv 1\pmod 8$ and $t2=-2$.
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