Abelian difference sets of order n dividing λ

Authors:
K. T. Arasu;Yu Qing Chen;J. F. Dillon;Xiaoyu Liu;Kevin J. Player
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, USA 45435-0001;Department of Mathematics and Statistics, Wright State University, Dayton, USA 45435-0001;National Security Agency, Meade, USA 20755;Department of Mathematics and Statistics, Wright State University, Dayton, USA 45435-0001;National Security Agency, Meade, USA 20755
Venue:
Designs, Codes and Cryptography
Year:
2007

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Abstract

We show that difference sets satisfying the condition n|驴 have a product property which can be exploited to construct more difference sets. Many of the newly discovered difference sets arise in precisely this way.