Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2019, Issue 12, Pages 113–116
DOI: https://doi.org/10.17223/2226308X/12/35
(Mi pdma450)
 

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Methods of Cryptography

Geometric model of perfect ciphers with three cipher plaintext values

N. V. Medvedeva, S. S. Titov

Urals State University of Railway Transport, Ekaterinburg
Full-text PDF (579 kB) Citations (3)
References:
Abstract: In this work we deal with the problem of describing Shannon perfect ciphers (which are absolutely immune against the attack on ciphertext, according to Shannon) when cardinality of alphabet of cipher plaintext values is equal to three. It is shown that there is no minimum by inclusion perfect ciphers with five or six encryption keys. The number of minimum by inclusion perfect ciphers with seven and eight keys are determined. Examples of minimal ciphers with respect to inclusion are built.
Keywords: perfect ciphers, endomorphic ciphers, non-endomorphic ciphers.
Bibliographic databases:
Document Type: Article
UDC: 512.64, 519.21, 519.72
Language: Russian
Citation: N. V. Medvedeva, S. S. Titov, “Geometric model of perfect ciphers with three cipher plaintext values”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 113–116
Citation in format AMSBIB
\Bibitem{MedTit19}
\by N.~V.~Medvedeva, S.~S.~Titov
\paper Geometric model of perfect ciphers with three cipher plaintext values
\jour Prikl. Diskr. Mat. Suppl.
\yr 2019
\issue 12
\pages 113--116
\mathnet{http://mi.mathnet.ru/pdma450}
\crossref{https://doi.org/10.17223/2226308X/12/35}
\elib{https://elibrary.ru/item.asp?id=41153896}
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  • https://www.mathnet.ru/eng/pdma/y2019/i12/p113
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Diskretnaya Matematika. Supplement
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    Full-text PDF :41
    References:21
     
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