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https://elib.bsu.by/handle/123456789/52028
Title: | On the number of subfunctions of random boolean function which are close to the affine functions set |
Authors: | Serov, A. A. |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Кибернетика |
Issue Date: | 2013 |
Publisher: | Minsk : Publ. center of BSU |
Citation: | Computer Data Analysis and Modeling: Theoretical and Applied Stochastics : Proc. of the Tenth Intern. Conf., Minsk, Sept. 10–14, 2013. Vol 2. — Minsk, 2013. - P. 26-27 |
Abstract: | We present formulas and inequalities for the mean and the variance of the number of subfunctions of a random Boolean function such that their Hamming distances to the set of affine Boolean functions do not exceed a given value. The critical values of the number of variables of subfunctions having good affine approximations are obtained. |
URI: | http://elib.bsu.by/handle/123456789/52028 |
Appears in Collections: | 2013. Computer Data Analysis and Modeling. Vol 2 Vol. 2 |
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