Nonexistence of Some Difference Sets

K.T. Arasu 1, Surinder K. Sehgal2
1Department of Mathematics and Statistics Wright State University Dayton, OH 45435
2 Department of Mathematics Ohio State University Columbus, OH 43210

Abstract

We settle the existence status of some previously open cases of abelian difference sets. Our results fill ten missing entries in the recent table of Lepez and Sanchez, all with answer `No’.