Distance-regular graphs obtained from the Mathieu groups M_11, M_12, M_22, M_23 and M_24 release_3bxuljyoszarhbawal3t4pu6qu

by Dean Crnkovic, Nina Mostarac, Andrea Svob

Released as a article .

2021  

Abstract

We construct distance-regular graphs (including strongly regular graphs) admitting a transitive action of the five sporadic simple groups discovered by E. Mathieu, the Mathieu groups M_11, M_12, M_22, M_23 and M_24. We discuss a possibility of permutation decoding of the codes spanned by the adjacency matrices of these graphs and find PD-sets for some of the codes.
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Date   2021-01-07
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arXiv  2101.02790v1
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