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Diskretnaya Matematika, 2015, Volume 27, Issue 1, Pages 22–33
DOI: https://doi.org/10.4213/dm1312 (Mi dm1312) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables

E. K. Alekseev, E. K. Karelina

Lomonosov Moscow State University
Full-text PDF (440 kB) Citations (5) English version article
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DOI: https://doi.org/10.4213/dm1312
Abstract: A classification of correlation-immune and minimal corelation-immune Boolean function of $4$ and $5$ variables with respect to the Jevons group is given. Representatives of the equivalence classes of correlation-immune functions of 4 and 5 variables are decomposed into minimal correlation-immune functions. Characteristics of various decompositions of the constant function $\mathbf 1$ into minimal correlation-immune functions are presented.
Keywords: cryptography, correlation-immune functions, minimal correlation-immune functions, classification.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00680-а
Received: 12.11.2014
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 4, Pages 193–202
DOI: https://doi.org/10.1515/dma-2015-0019
Bibliographic databases:
Document Type: Article
UDC: 519.716+519.719.2
Language: Russian
Citation: E. K. Alekseev, E. K. Karelina, “Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables”, Diskr. Mat., 27:1 (2015), 22–33; Discrete Math. Appl., 25:4 (2015), 193–202
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/dm/v27/i1/p22
    • This publication is cited in the following 5 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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