Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry pg(5,5,2) (2009.09544v2)

Published 20 Sep 2020 in math.CO

Abstract: 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.

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