Maximum in-general-position set in a random subset of ${\mathbb{F}}_q^d$

Yaobin Chen, Jiaxi Nie, Jing Yu +1

Let $\alpha ({\mathbb{F}}_q^d,p)$ be the maximum possible size of a point set in general position in a $p$-random subset of ${\mathbb{F}}_q^d$. We determine the order of magnitude of $α(\m…