A survey on resolvable group divisible designs with block size four

Abstract 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.

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