Geodesic
Recursion Formulas for the number of $(n, m, k)$-resilient and correlation-immune Boolean mappings
Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 62-66

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For linear combinations of coordinate functions of mapping from the vectorspace $V_n$ of all binary vectors of length $n$ to the vectorspace $V_m$, recursive formulas for the distribution of weights of some their subfunctions $w_I^J$ and for the distribution of subsets of their spectral coefficients $\Delta_I^J$ are obtained. By mean of these formulas, we obtain the recursive formula for the number of correlation-immune of order $k$ mappings and the recursive formula for the number of $(n,m,k)$-resilient Boolean mappings.
Keywords: weights of subfunctions, recursion formula, resilient vectorial Boolean function, correlation-immune function.
Mots-clés : spectral coefficient 
@article{PDMA_2019_12_a18,
     author = {K. N. Pankov},
     title = {Recursion {Formulas} for the number of $(n, m, k)$-resilient and correlation-immune {Boolean} mappings},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {62--66},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2019_12_a18/}
}
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K. N. Pankov. Recursion Formulas for the number of $(n, m, k)$-resilient and correlation-immune Boolean mappings. Prikladnaya Diskretnaya Matematika. Supplement, no. 12 (2019), pp. 62-66. http://geodesic.mathdoc.fr/item/PDMA_2019_12_a18/