Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums

Details Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums Constructions of Strongly Regular Cayley Graphs Using Index Four Gauss Sums

2012-01-03

arxiv.org/abs/1201.0702v2

Mathematics

Combinatorics

19 pages; to appear in Journal of Algebraic Combinatorics

Scientific paper

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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