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

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