engleski

Distance-regular graphs obtained from the Mathieu groups and new block designs

In this talk we will present distance-regular graphs admitting a transitive action of the Mathieu groups. We also study codes spanned by the adjacency matrices of the constructed DRGs. From the code spanned by the adjacency matrix of the strongly regular graph with parameters (176, 70, 18, 34) we obtain new block designs having the full automorphism groups isomorphic to the Higman-Sims finite simple group.

distance-regular graph ; Mathieu group ; block design

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