Perfect difference families, perfect systems of difference sets and their applications

Hengrui Liu, Tao Feng, Xiaomiao Wang +1

Let $v$ be a positive odd integer. A $(v,k,\lambda )$-perfect difference family (PDF) is a collection $\mathcal{F}$ of $k$-subsets of $\{0,1,\dots ,v-1\}$ such that the multiset $\bigcup_…