Abstract:Abstract:The construction of group divisible designs (GDDs) is a basic problem in design theory. While there have been some methods concerning the constructions of uniform GDDs, the construction of nonuniform GDDs remains a challenging problem. In this paper, we present a new approach to the construction of nonuniform GDDs with group type g k m 1 and block size k. We make a progress by proposing a new construction, in which generalized difference sets, a truncating technique, and a difference method are combin… Show more
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