Maarten De Boeck

$q$-Analogs of strongly regular graphs

2021 · arXiv (Cornell University)

We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection to designs over finite fields, and present …

Elation KM-arcs

2017 · arXiv (Cornell University)

In this paper, we study KM-arcs in $PG(2, q)$, the Desarguesian projective plane of order $q$. A KM-arc A of type $t$ is a natural generalisation of a hyperoval: it is a set of $q …