A construction of directed strongly regular graphs with parameters (63,11,8,1,2)

Abstract

In this paper, we prove the existence of directed strongly regular graphs with parameters (63,11,8,1,2). We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obtained from the other by reversing all arrows. Both directed strongly regular graphs have L2(8):3 as the full automorphism group.

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