Maximum scattered linear sets and complete caps in Galois spaces

Daniele Bartoli, Massimo Giulietti, Giuseppe Marino +1

Explicit constructions of infinite families of scattered ${\mathbb{F}}_q$--linear sets in $PG(r-1,q^t)$ of maximal rank $\frac{rt}{2}$, for $t$ even, are provided. When $q=2$ and $r$…