This graph is the unique rank-3 strongly regular graph with parameters $(255,126,61,63)$.
| Number of vertices: | $255$ |
| Diameter: | $2$ |
| Intersection array: | $\{126,64;1,63\}$ |
| Spectrum: | $126^1 7^{135} (-9)^{119}$ |
| Automorphism group: | $\mathrm{PS_p}(8,2)$ |
| Distance-transitive: | Yes |
| Primitive |