A survey on resolvable group divisible designs with block size four Original Research Article

In this paper, a survey for the existence of resolvable group divisible designs (RGDDs) with block size four, group-type hn and index unity is presented. It is proved that there exists a 4-RGDD of type hn if and only if n⩾4, hn≡0 (mod 4) and h(n−1)≡0 (mod 3) with a handful of possible exceptions.