Abstract

Let Γ be a strongly regular graph with parameters (v, k, 1, 2). Then k = u2 + u + 2 and u = 1, 3, 4, 10, or 31. It is known that such graphs exist for u equal to 1 and 4. They are the (3 × 3)-lattice and the graph of cosets of the ternary Golay code. If u = 3, then Γ has the parameters (99, 14, 1, 2). The question on existence of such graphs was posed by J. Seidel.

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