Geodesic
Asymptotic estimates for numbers of Boolean mappings with given cryptographic properties
Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 73-97

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For linear combinations of coordinate functions of random Boolean mapping a local limit theorem for the distribution of subsets of weights of submappings is improved. Also a local limit theorem for subsets of their spectral coefficients is proved. By means of these theorems we obtain upper and lower asymptotic estimates for numbers of correlation-immune and ($n,m,k$)-resilient Boolean mappings. Also we obtain an upper asymptotic estimate of the number of plateaued Boolean mappings. 
@article{MVK_2014_5_a4,
     author = {K. N. Pankov},
     title = {Asymptotic estimates for numbers of {Boolean} mappings with given cryptographic properties},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {73--97},
     publisher = {mathdoc},
     volume = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2014_5_a4/}
}
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K. N. Pankov. Asymptotic estimates for numbers of Boolean mappings with given cryptographic properties. Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 73-97. http://geodesic.mathdoc.fr/item/MVK_2014_5_a4/