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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{PDM_2012_1_a0,
     author = {A. N. Alekseychuk and S. N. Konyushok},
     title = {Nonlinearity statistical properties of  {Boolean} function restrictions on a~randomly chosen subspace},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {5--10},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_1_a0/}
}
TY  - JOUR
AU  - A. N. Alekseychuk
AU  - S. N. Konyushok
TI  - Nonlinearity statistical properties of  Boolean function restrictions on a~randomly chosen subspace
JO  - Prikladnaâ diskretnaâ matematika
PY  - 2012
SP  - 5
EP  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDM_2012_1_a0/
LA  - ru
ID  - PDM_2012_1_a0
ER  - 
%0 Journal Article
%A A. N. Alekseychuk
%A S. N. Konyushok
%T Nonlinearity statistical properties of  Boolean function restrictions on a~randomly chosen subspace
%J Prikladnaâ diskretnaâ matematika
%D 2012
%P 5-10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDM_2012_1_a0/
%G ru
%F PDM_2012_1_a0
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/