engleski

Block designs and strongly regular graphs related to the group U(3, 4)

We show a construction of a two block designs, 2-(65, 15, 21) design and 2-(65, 26, 250) design, Steiner system S(2, 5, 65) and its block graph, two strongly regular graphs (208, 75, 30, 25) and (416, 100, 36, 20) and binary code of length 65 from the unitary group U(3, 4). Those incidence structures are defined on the elements of the conjugacy classes of the maximal subgroups.

block design; unitary group; automorphism group; Steiner system; strongly regular graph

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