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

This is an antipodal 3-cover of the Berlekamp–van Lint–Seidel graph.

 Number of vertices: $729$ Diameter: $5$ Intersection array: $\{22,20,18,2,1;1,2,9,20,22\}$ Spectrum: $22^1 7^{132} 4^{132} (-2)^{330} (-5)^{110} (-11)^{24}$ Automorphism group: $3^6:(2\times M_{11})$ Distance-transitive: $\text{Yes}$ Antipodal

## $\text{Downloads}$

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Last updated: 29 August 2019