Abstract
We give a construction of negative Latin square type strongly regular Cayley graphs on F22(2s+1) with parameters (22(2s+1),2(22s−1)(22s+1+1)/3,4(22s−1)2/9−2,2(22s+1+1)(22s−1)/9) for every s⩾1 based on choosing suitable cyclotomic classes on F22(2s+1) and the computation of certain Gauss sums.
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