Set Families with Low Pairwise Intersection

Calvin Beideman, Jeremiah Blocki

A $\left(n,\ell ,\gamma \right)$-sharing set family of size $m$ is a family of sets $S_1,\dots ,S_m\subseteq [n]$ s.t. each set has size $\ell$ and each pair of sets shares at most $\gamma$ el…