Geodesic
Nonlinearity statistical properties of Boolean function restrictions on a~randomly chosen subspace
Prikladnaâ diskretnaâ matematika, no. 1 (2012), pp. 5-10.

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It is shown that for all sufficiently large natural $n$, the relative nonlinearity of any Boolean function in $n$ variables can be statistically approximated by the relative nonlinearity of its restriction on a random subspace (possibly without the zero vector), whose dimension is independent on $n$.
Keywords: Boolean functions, nonlinearity, random subspace, statistical estimation. 
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A. N. Alekseychuk; S. N. Konyushok. Nonlinearity statistical properties of  Boolean function restrictions on a~randomly chosen subspace. Prikladnaâ diskretnaâ matematika, no. 1 (2012), pp. 5-10. http://geodesic.mathdoc.fr/item/PDM_2012_1_a0/

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