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Prikladnaya Diskretnaya Matematika, 2011, Number 2(12), Pages 5–16 (Mi pdm271)  
This article is cited in 5 scientific papers (total in 5 papers)

Theoretical Foundations of Applied Discrete Mathematics

On some measures of nonlinearity for Boolean functions

E. K. Alekseev

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (618 kB) Citations (5)
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Abstract: A nonlinearity measure is defined for a Boolean function $f$ as a distance from $f$ to the set of algebraic degenerated functions. Relations between this measure and some early offered measures of the nonlinearity are considered. Also, we investigate the order of algebraic degeneration of those functions which are mostly close to $f$.
Keywords: nonlinearity of Boolean functions, algebraic degenerated functions, linear structures space, cryptography.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: E. K. Alekseev, “On some measures of nonlinearity for Boolean functions”, Prikl. Diskr. Mat., 2011, no. 2(12), 5–16
Citation in format AMSBIB
\Bibitem{Ale11}
\by E.~K.~Alekseev
\paper On some measures of nonlinearity for Boolean functions
\jour Prikl. Diskr. Mat.
\yr 2011
\issue 2(12)
\pages 5--16
\mathnet{http://mi.mathnet.ru/pdm271}
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  • https://www.mathnet.ru/eng/pdm/y2011/i2/p5
    • 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
    		Прикладная дискретная математика
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