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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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2101.02790v1
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