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Diskretnaya Matematika, 2018, Volume 30, Issue 2, Pages 73–98
DOI: https://doi.org/10.4213/dm1484 (Mi dm1484) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Improved asymptotic estimates for the numbers of correlation-immune and $k$-resilient vectorial Boolean functions

K. N. Pankov

Moscow Technical University of Communications and Informatics
Full-text PDF (606 kB) Citations (7)
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DOI: https://doi.org/10.4213/dm1484
Abstract: We refine local limit theorems for the distribution of a part of the weight vector of subfunctions and for the distribution of a part of the vector of spectral coefficients of linear combinations of coordinate functions of a random binary mapping. These theorems are used to derive improved asymptotic estimates for the numbers of correlation-immune and $k$-resilient vectorial Boolean functions.
Keywords: random binary mapping, local limit theorem, weights of subfunctions, spectral coefficients, $(n,m,k)$-stable functions, correlation-immune functions.
Received: 15.11.2018
Revised: 12.04.2018
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 3, Pages 195–213
DOI: https://doi.org/10.1515/dma-2019-0018
Bibliographic databases:
Document Type: Article
UDC: 519.212.2+519.214
Language: Russian
Citation: K. N. Pankov, “Improved asymptotic estimates for the numbers of correlation-immune and $k$-resilient vectorial Boolean functions”, Diskr. Mat., 30:2 (2018), 73–98; Discrete Math. Appl., 29:3 (2019), 195–213
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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