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2024-ary quasigroups and related topics
June 23, 2023, Novosibirsk, Sobolev Institute of Mathematics, room 115
 


On the classification of perfect colorings of small degree in the hypercube

D. S. Krotov

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Abstract: The results of classification of perfect colorings (equitable partitions) of the hypercube (binary Hamming graph) H(n,2) with all eigenvalues not less than n-6 are described. Up to equivalence, there are 103 such colorings in H(10,2), not including the monochromatic one. The maximum number of colors is 8. (Joint work with A. Valyuzhenich)

Language: Russian or English if preferred by participants

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