Geodesic
Local limit theorem for the distribution of incomplete vector formed by the weights of subfunctions of random binary mapping components
Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 49-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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For linear combinations of coordinate functions of random binary mapping a local limit theorem for the joint distribution of weights of some their subfunctions is proved. By means of this theorem we obtain asymptotic estimates for the number of $(n,m,k)$-resilient vectorial Boolean functions for $m=2,3,4$. 
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K. N. Pankov. Local limit theorem for the distribution of incomplete vector formed by the weights of subfunctions of random binary mapping components. Matematičeskie voprosy kriptografii, Tome 5 (2014) no. 3, pp. 49-80. http://geodesic.mathdoc.fr/item/MVK_2014_5_3_a3/

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