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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 133–135
(Mi semr149)
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This article is cited in 30 scientific papers (total in 30 papers)
Research papers
A bound on correlation immunity
D. G. Fon-Der-Flaass Sobolev Institute of Mathematics, Novosibirsk, Russia
Abstract:
A new bound on correlation immunity of non-constant unbalanced Boolean functions is proved. The bound is
applied to obtain a new necessary condition for existence of a perfect coloring of the hypercube with given parameters. The new bound is stronger than the bounds previously obtained by Bierbrauer and Tarannikov, and is reached on an infinite class of examples.
Received April 3, 2007, published April 24, 2007
Citation:
D. G. Fon-Der-Flaass, “A bound on correlation immunity”, Sib. Èlektron. Mat. Izv., 4 (2007), 133–135
Linking options:
https://www.mathnet.ru/eng/semr149 https://www.mathnet.ru/eng/semr/v4/p133
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