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On the existence of abelian difference sets with \(100< k\leq 150\). (English) Zbl 0873.05020

Collecting several necessary conditions for the existence of \((v,k,\lambda)\) abelian difference sets a list of 45 tuples \((v,k,\lambda)\) with \(100<k\leq 150\) for which a difference set can exist, is given. Collecting known families of difference sets (Lehmer, Singer, and so forth) it is stated that there exist abelian difference sets for 29 of the previous tuples. Computer search is also used for several cases.
Reviewer: G.Ferrero (Parma)

MSC:

05B10 Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)
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