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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

On Some Transitive Combinatorial Structures and Codes Constructed From the Symplectic Group \(S(6, 2)\)

Dean Crnkovié 1, Vedrana Mikulié Crnkovié 1, Andrea, Svob1
1Department of Mathematics, University of Rijeka, Radmile Matejéié 2, 51000 Rijeka, Croatia
  • Published: 31/05/2016

Abstract

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.

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Citation
Dean Crnkovié , Vedrana Mikulié Crnkovié , Andrea, Svob. On Some Transitive Combinatorial Structures and Codes Constructed From the Symplectic Group \(S(6, 2)\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 097. 119-138. DOI: .