Lower Bounds for Cover-Free Families

Ali Z. Abdi, Nader H. Bshouty

Let $\mathcal{F}$ be a set of blocks of a $t$-set $X$. $(X,\mathcal{F})$ is called $(w,r)$-cover-free family ($(w,r)-$CFF) provided that, the intersection of any $w$ blocks in $\mathcal{F}$…