## $\text{Coset graph of shortened ternary Golay code}$

This is an antipodal 3-cover of the Brouwer–Haemers graph, and an induced subgraph of Soicher's second graph.

 Number of vertices: $243$ Diameter: $4$ Intersection array: $\{20,18,4,1;1,2,18,20\}$ Spectrum: $20^1 5^{72} 2^{60} (-4)^{90} (-7)^{20}$ Automorphism group: $3^5:(2\times M_{10})$ Distance-transitive: $\text{Yes}$ Antipodal

## References

Back to: A-Z indexGraphs with more than 200 verticesGraphs with diameter 4Graphs from Golay codes and Witt designs
Last updated: 29 August 2019