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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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/

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[4] Zubkov A. M., Serov A. A., “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, Diskretnaya matematika, 22:4 (2010), 3–19 | MR | Zbl