Cyclotomy, gauss sums, difference sets and strongly regular cayley graphs

Authors:
Qing Xiang
Affiliations:
Department of Mathematical Sciences, University of Delaware, Newark, DE
Venue:
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Year:
2012

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Abstract

We survey recent results on constructions of difference sets and strongly regular Cayley graphs by using union of cyclotomic classes of finite fields. Several open problems are raised.