engleski

On some transitive combinatorial structures and codes constructed from the symplectic group S(6, 2)

The main topic of this talk will be the construction of transitive combinatorial structures from finite groups. The method will be applied on the construction of 2-designs and strongly regular graphs. The structures will be defined on the conjugacy classes of the maximal and second maximal subgroups under the action of the symplectic group S(6, 2). Furthermore, using this method linear codes invariant under the action of the group S(6, 2) as the codes of the constructed designs were constructed. In this talk, the constructed structures will be described.

Block design; strongly regular graph; Transitive group

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