Abstract
AbstractA ‐group divisible design (GDD) is called simple if no two blocks are identical. Two simple ‐GDDs and are called disjoint if . A set of more than two simple ‐GDDs is called disjoint if each pair of them is disjoint. The collection of disjoint ‐GDDs of type is called a large set. In this paper, we completely solve the existence of large sets of ‐group divisible designs (GDDs) of type and the existence of a simple ‐GDD of type .
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