Geodesic
Constructions of strongly regular Cayley graphs using index four Gauss sums
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 2, pp. 313-329.

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Summary: We give a construction of strongly regular Cayley graphs on finite fields $\mathbb{F}_{q}$ 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.
Keywords: cyclotomy, Gauss sum, index 4 Gauss sum, strongly regular graph 
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     author = {Ge, Gennian and Xiang, Qing and Yuan, Tao},
     title = {Constructions of strongly regular {Cayley} graphs using index four {Gauss} sums},
     journal = {Journal of Algebraic Combinatorics},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2013__37_2_a3/}
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Ge, Gennian; Xiang, Qing; Yuan, Tao. Constructions of strongly regular Cayley graphs using index four Gauss sums. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 2, pp. 313-329. http://geodesic.mathdoc.fr/item/JAC_2013__37_2_a3/