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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 292–295
(Mi semr158)
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This article is cited in 28 scientific papers (total in 28 papers)
Research papers
Perfect colorings of the $12$-cube that attain the bound on correlation immunity
D. G. Fon-Der-Flaass Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We construct perfect $2$-colorings of the $12$-hypercube that attain our recent bound on the dimension of
arbitrary correlation immune functions. We prove that such colorings with parameters $(x,12-x,4+x,8-x)$ exist if $x=0,2,3$ and do not exist if $x=1$.
Received May 15, 2007, published June 29, 2007
Citation:
D. G. Fon-Der-Flaass, “Perfect colorings of the $12$-cube that attain the bound on correlation immunity”, Sib. Èlektron. Mat. Izv., 4 (2007), 292–295
Linking options:
https://www.mathnet.ru/eng/semr158 https://www.mathnet.ru/eng/semr/v4/p292
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