Geodesic
A bound on correlation immunity
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 133-135 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {D. G. Fon-Der-Flaass},
     title = {A~bound on correlation immunity},
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D. G. Fon-Der-Flaass. A bound on correlation immunity. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 133-135. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a8/

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[7] Tarannikov Yu., On resilient Boolean functions with maximal possible nonlinearity, Report 2000/005, March 2000, 18 pp. ; Cryptology ePrint archive http://eprint.iacr.org | MR