Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry
Department of Mathematical Sciences
Twelve new strongly regular graphs with parameters (81, 30, 9, 12) are found as graphs invariant under certain subgroups of the automorphism groups of the two previously known graphs that arise from 2-weight codes. One of these new graphs is geometric and yields a partial geometry with parameters pg(5, 5, 2) that is not isomorphic to the partial geometry discovered by J. H. van Lint and A. Schrijver  in 1981.
Journal of Algebraic Combinatorics
Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry.
Journal of Algebraic Combinatorics,
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