Transitive combinatorial structures invariant under some subgroups of S(6, 2) and related codes (CROSBI ID 257386)
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Podaci o odgovornosti
Crnković, Dean ; Mikulić Crnković, Vedrana ; Švob, Andrea
engleski
Transitive combinatorial structures invariant under some subgroups of S(6, 2) and related codes
In this paper we define combinatorial structures on the conjugacy classes of the maximal subgroups of the symplectic group S(6, 2) under the action of two subgroups of S(6, 2) isomorphic to U(3, 3) and U(4, 2). Further, we examine binary and ternary linear codes obtained from the row span of the incidence matrices of the block designs (respectively adjacency matrices of the strongly regular graphs) obtained in the paper. Moreover, from the codes examined we construct the designs supported by the codewords as well as SRG and DRG, respectively.
transitive group ; $t$-design ; strongly regular graph ; distance-regular graph ; flag-transitive design ; linear code.
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Podaci o izdanju
96 (S2)
2018.
A5
15
objavljeno
1825-1242
10.1478/AAPP.96S2A5
Povezanost rada
Matematika