Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss   Sums
  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. 
Gennian Ge, Qing Xiang, Tao Yuan
math.CO