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Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums

Published 3 Jan 2012 in math.CO | (1201.0702v2)

Abstract: We give a construction of strongly regular Cayley graphs on finite fields $\F_q$ by using union of cyclotomic classes and index 4 Gauss sums. In particular, we obtain two infinite families of strongly regular graphs with new parameters.

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