Group Divisible Designs with Equal-Sized Holes

Abstract

In this paper we consider group divisible designs with equal-sized holes $(HGDD)$ which is a generalization of modified group divisible designs $[1]$ and $HMOLS$. We prove that the obvious necessary conditions for the existence of the $HGDD$ is sufficient when the block size is three, which generalizes the result of Assaf[1].