Towards the classification of maximum scattered linear sets of $\mathrm{PG}(1,q^5)$

Stefano Lia, Giovanni Longobardi, Corrado Zanella

Every maximum scattered linear set in $\mathrm{PG}(1,q^5)$ is the projection of an ${\mathbb{F}}_q$-subgeometry $\Sigma$ of $\mathrm{PG}(4,q^5)$ from a plane $\Gamma$ external to the secant va…