On the multiplicative order of the roots of $b{X}^{q^r+1}-a{X}^{q^r}+dX-c$

Fabio E. Brochero Martínez, Theodoulos Garefalakis, Lucas Reis +1

In this paper, we find a lower bound for the order of the group $⟨\theta +\alpha ⟩\subset {\overline{{\mathbb{F}}_q}}^{\ast }$, where $\alpha \in {\mathbb{F}}_q$, $\theta$ is a generic root of the po…