Abstract
A construction is given for difference sets with parameters v = 1 2 3 s+1(3 s+1 − 1) , k = 1 2 3 s(3 s+1 + 1), λ = 1 2 3 s(3 s + 1), n = 3 2s in certain noncyclic groups of order v. For s = 1 it is shown that the construction yields all possible difference sets with parameters (36, 15, 6, 9) in an abelian group of order 36.
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