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Existence status of some previously open abelian difference sets
Authors:KT Arasu  Michael Linger
Institution:Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA
Abstract:We theoretically establish the existence status of some previously open abelian difference sets. More precisely, we show the nonexistence of all the following difference sets: (841,120,17) in Z29×Z29, (364,121,40) in Z2×Z2×Z7×Z13, (837,133,21) in Z3×Z3×Z3×Z31,Z3×Z9×Z31 and Z837.
Keywords:Difference sets  Multipliers
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