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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2024, Volume 15, Issue 1, Pages 127–142
DOI: https://doi.org/10.4213/mvk465
(Mi mvk466)
 

This article is cited in 1 scientific paper (total in 1 paper)

Distance between vectorial Boolean functions and affine analogues (following the Eighth International Olympiad in Cryptography)

V. G. Ryabov

NP «GST», Moscow
Full-text PDF (570 kB) Citations (1)
References:
Abstract: We study the Hamming distance from a vectorial Boolean function to a set of affine mappings (the nonlinearity of a vectorial function). New upper bound on the nonlinearity of vectorial functions and lower bound on the nonlinearity of mappings with a given differential uniformity are obtained, which refine the previously known ones. The dependence of the Hamming distance between a vectorial function and an affine mapping on the Walsh – Hadamard coefficients of nonzero linear combinations of coordinates of the vectorial function is found, which makes it possible to give estimates of nonlinearity in terms of these coefficients.
Key words: vectorial Boolean function, Hamming distance, nonlinearity, differential uniformity, bent function, APN function, Walsh-Hadamard coefficients.
Received 08.X.2023
Document Type: Article
UDC: 519.716.325+519.719.2
Language: Russian
Citation: V. G. Ryabov, “Distance between vectorial Boolean functions and affine analogues (following the Eighth International Olympiad in Cryptography)”, Mat. Vopr. Kriptogr., 15:1 (2024), 127–142
Citation in format AMSBIB
\Bibitem{Rya24}
\by V.~G.~Ryabov
\paper Distance between vectorial Boolean functions and affine analogues (following the Eighth International Olympiad in Cryptography)
\jour Mat. Vopr. Kriptogr.
\yr 2024
\vol 15
\issue 1
\pages 127--142
\mathnet{http://mi.mathnet.ru/mvk466}
\crossref{https://doi.org/10.4213/mvk465}
Linking options:
  • https://www.mathnet.ru/eng/mvk466
  • https://doi.org/10.4213/mvk465
  • https://www.mathnet.ru/eng/mvk/v15/i1/p127
  • This publication is cited in the following 1 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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    Abstract page:185
    Full-text PDF :14
    References:55
    First page:40
     
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