Geodesic
Estimates for the number of Boolean functions having affine or quadratic approximations with a~given accuracy
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 11-13

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Boolean functions having affine or quadratic approximations with a given accuracy are considered. Two-sided inequalities for the number of such functions are obtained by means of inclusion-exclusion formula and estimates of binomial distribution tails. 
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     author = {A. M. Zubkov and A. A. Serov},
     title = {Estimates for the number of {Boolean} functions having affine or quadratic approximations with a~given accuracy},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
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     publisher = {mathdoc},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a3/}
}
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A. M. Zubkov; A. A. Serov. Estimates for the number of Boolean functions having affine or quadratic approximations with a~given accuracy. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 11-13. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a3/