Abstract
In this paper, it is shown that the necessary condition for the existence of a directed group divisible design with block size 5, type h n and index λ , namely, n⩾5 , λ(n−1)h≡0 ( mod 2) and λn(n−1)h 2 ≡0 ( mod 10) , is also sufficient for λ⩾2 . This result guarantees the analogous existence result for group divisible designs of type h n having block size 5 and index 2λ .
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