Strongly regular graphs from unions of cyclotomic classes

Authors:
Tao Feng;Qing Xiang
Affiliations:
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
Venue:
Journal of Combinatorial Theory Series B
Year:
2012

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Abstract

We give two constructions of strongly regular Cayley graphs on finite fields F"q by using union of cyclotomic classes and index 2 Gauss sums. In particular, we obtain twelve infinite families of strongly regular graphs with new parameters.