Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2014, Volume 5, Issue 2, Pages 71–78
DOI: https://doi.org/10.4213/mvk118 (Mi mvk118) 		 
This article is cited in 10 scientific papers (total in 10 papers)

A method for generation of high-nonlinear S-boxes based on gradient descent

O. V. Kazymyrova, V. N. Kazymyrovaa, R. V. Oliynykovb

a University of Bergen
b Kharkiv National University of Radio Electronics
Full-text PDF (518 kB) Citations (10)
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DOI: https://doi.org/10.4213/mvk118
Abstract: Criteria based on the analysis of the properties of vectorial Boolean functions for selection of substitutions (S-boxes) for symmetric cryptographic primitives are given. We propose an improved gradient descent method for increasing performance of nonlinear vectorial Boolean functions generation with optimal cryptographic properties. Substitutions generated by proposed method for the most common 8-bits input and output blocks have nonlinearity 104, $8$-uniformity and algebraic immunity 3.
Key words: substitution, nonlinear, symmetric ciphers, vectorial Boolean function.
Received 25.IX.2013
Document Type: Article
UDC: 519.719.2+519.716.35
Language: English
Citation: O. V. Kazymyrov, V. N. Kazymyrova, R. V. Oliynykov, “A method for generation of high-nonlinear S-boxes based on gradient descent”, Mat. Vopr. Kriptogr., 5:2 (2014), 71–78
Citation in format AMSBIB
\Bibitem{KazKazOle14}
\by O.~V.~Kazymyrov, V.~N.~Kazymyrova, R.~V.~Oliynykov
\paper A~method for generation of high-nonlinear S-boxes based on gradient descent
\jour Mat. Vopr. Kriptogr.
\yr 2014
\vol 5
\issue 2
\pages 71--78
\mathnet{http://mi.mathnet.ru/mvk118}
\crossref{https://doi.org/10.4213/mvk118}
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  • https://www.mathnet.ru/eng/mvk/v5/i2/p71
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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