On some transitive combinatorial structures and codes constructed from the symplectic group \(S(6,2)\) (Q2829340)
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scientific article; zbMATH DE number 6644941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some transitive combinatorial structures and codes constructed from the symplectic group \(S(6,2)\) |
scientific article; zbMATH DE number 6644941 |
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27 October 2016
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block design
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strongly regular graph
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linear code
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transitive group
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On some transitive combinatorial structures and codes constructed from the symplectic group \(S(6,2)\) (English)
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In this paper, the authors investigate incidence structures which can be constructed from the symplectic group \(S(6,2)\) using the programs Magma, GAP, and GAP package Design. They construct transitive 2-designs and strongly regular graphs defined on the conjugacy classes of the maximal and second maximal subgroups of the sympletic group \(S(6,2)\). They also describe linear codes invariant under the action of the group \(S(6,2)\) generated by the the incidence matrices of the designs and by the adjacency matrices of the strongly regular graphs.
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