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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 292–295 (Mi semr158)  
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
Full-text PDF (627 kB) Citations (28)
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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
Bibliographic databases:
Document Type: Article
UDC: 519.172.2
MSC: 05С15
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Fon07}
\by D.~G.~Fon-Der-Flaass
\paper Perfect colorings of the $12$-cube that attain the bound on correlation immunity
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 292--295
\mathnet{http://mi.mathnet.ru/semr158}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465428}
\zmath{https://zbmath.org/?q=an:1132.05314}
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  • https://www.mathnet.ru/eng/semr/v4/p292
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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