Geodesic
A class of permutation trinomials over finite fields
Xiang-dong Hou1
1 Department of Mathematics and Statistics University of South Florida Tampa, FL 33620, U.S.A.
Acta Arithmetica, Tome 162 (2014) no. 1, pp. 51-64

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $q>2$ be a prime power and $f=-{\tt x}+t{\tt x}^q+{\tt x}^{2q-1}$, where $t\in \mathbb F_q^*$. We prove that $f$ is a permutation polynomial of $\mathbb F_{q^2}$ if and only if one of the following occurs: (i) $q$ is even and $\text {Tr}_{q/2}({{1}/t})=0$; (ii) $q\equiv 1\ ({\rm mod} 8)$ and $t^2=-2$.
DOI : 10.4064/aa162-1-3
Keywords: prime power q where mathbb * prove permutation polynomial mathbb only following occurs nbsp even text nbsp equiv mod nbsp

Xiang-dong Hou 1

1 Department of Mathematics and Statistics University of South Florida Tampa, FL 33620, U.S.A. 
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Xiang-dong Hou. A class of permutation trinomials over finite fields. Acta Arithmetica, Tome 162 (2014) no. 1, pp. 51-64. doi: 10.4064/aa162-1-3

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