This graph is the unique rank-3 strongly regular graph with parameters $(1023,510,253,255)$.
| Number of vertices: | $1023$ |
| Diameter: | $2$ |
| Intersection array: | $\{510,256;1,255\}$ |
| Spectrum: | $510^1 15^{527} (-17)^{495}$ |
| Automorphism group: | $\mathrm{PS_p}(10,2)$ |
| Distance-transitive: | Yes |
| Primitive |