Strongly Regular Graphs From Unions of Cyclotomic Classes

Details Strongly Regular Graphs From Unions of Cyclotomic Classes Strongly Regular Graphs From Unions of Cyclotomic Classes

2010-10-20

arxiv.org/abs/1010.4107v3

Mathematics

Combinatorics

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

Scientific paper

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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