Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2021, Volume 12, Issue 1, Pages 59–82
DOI: https://doi.org/10.4213/mvk348
(Mi mvk348)
 

This article is cited in 2 scientific papers (total in 2 papers)

Probabilistic properties of statistical dependencies between input and output of Markovian iterative cipher with round transformations on Abelian groups

V. O. Drelikhov

JSC «IPMCE», Moscow
Full-text PDF (472 kB) Citations (2)
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Abstract: We investigate the statistical dependencies between the input and output of an iterative cipher model, in which round keys are independent random variables, round transformations act on Abelian groups and depend on the round key and the round number. If the input and output of the cipher are uniformly distributed, then the statistical dependencies correspond the correlation coefficients between values of the characters. It is shown that for a cipher model with Markovian round mappings on Abelian groups the matrix of the second moments of the considered characteristics is equal to the product of the corresponding matrices constructed for round mappings. Upper and lower estimates for the expectations of absolute values of studied characteristics are obtained.
Key words: iterative cipher, Markovian models, mapping of Abelian groups, statistical dependencies.
Received 15.V.2020
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: V. O. Drelikhov, “Probabilistic properties of statistical dependencies between input and output of Markovian iterative cipher with round transformations on Abelian groups”, Mat. Vopr. Kriptogr., 12:1 (2021), 59–82
Citation in format AMSBIB
\Bibitem{Dre21}
\by V.~O.~Drelikhov
\paper Probabilistic properties of statistical dependencies between input and output of Markovian iterative cipher with round transformations on Abelian groups
\jour Mat. Vopr. Kriptogr.
\yr 2021
\vol 12
\issue 1
\pages 59--82
\mathnet{http://mi.mathnet.ru/mvk348}
\crossref{https://doi.org/10.4213/mvk348}
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  • https://doi.org/10.4213/mvk348
  • https://www.mathnet.ru/eng/mvk/v12/i1/p59
  • This publication is cited in the following 2 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:238
    Full-text PDF :117
    References:20
    First page:3
     
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