Kneser's theorem for codes and $\ell$-divisible set families

Chenying Lin, Gilles Zémor

A $k$-wise $\ell$-divisible set family is a collection $\mathcal{F}$ of subsets of $\{1,\dots ,n\}$ such that any intersection of $k$ sets in $\mathcal{F}$ has cardinality div…