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New Semiregular Divisible Difference Sets, James A. Davis
New Semiregular Divisible Difference Sets, James A. Davis
Department of Math & Statistics Faculty Publications
We modify and generalize the construction by McFarland (1973) in two different ways to construct new semiregular divisible difference sets (DDSs) with λ1≠0. The parameters of the DDS fall into a family of parameters found in Jungnickel (1982), where his construction is for divisible designs. The final section uses the idea of a K-matrix to find DDSs with a nonelementary abelian forbidden subgroup.