Strongly Regular Graphs From Unions of Cyclotomic Classes

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.

17 pages; to appear in J. Combin. Theory (B)

References in corpus (2)

• Pseudocyclic association schemes and strongly regular graphs
• Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes

Cited by in corpus (1)

• Constructions of Strongly Regular Cayley Graphs and Skew Hadamard Difference Sets from Cyclotomic Classes