Strongly Regular Graphs From Unions of Cyclotomic Classes

Published 20 Oct 2010 in math.CO | (1010.4107v3)

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.

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