Transitive combinatorial structures invariant under some subgroups of S(6,2) and related codes

Autori

DOI:

https://doi.org/10.1478/AAPP.96S2A5

Parole chiave:

Transitive Group, t-Design, Strongly Regular Graph, Distance-Regular Graph, Flag-Transitive Design, Linear Code

Abstract

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) or 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.

Biografie autore

  • Dean Crnković, University of Rijeka
    Department of Mathematics
  • Vedrana Mikulić Crnković, University of Rijeka
    Department of Mathematics
  • Andrea Švob, University of Rijeka
    Department of Mathematics

Dowloads

Pubblicato

2018-11-20

Fascicolo

Vol 96, SUPPL NO 2 (2018): HyGraDe 2017

Sezione

HyGraDe 2017 (Conference Proceedings)

Licenza

Creative Commons License
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