engleski

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

We describe the construction of transitive 2- designs and strongly regular graphs defined on the conjugacy classes of the maximal and second maximal subgroups of the symplectic group S(6, 2). Furthermore, we present linear codes invariant under the action of the group S(6, 2) obtained as the codes of the constructed designs and graphs.

Block design ; strongly regular graph ; Linear code ; Symplectic group ; Transitive group

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