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Problemy Peredachi Informatsii, 2008, Volume 44, Issue 3, Pages 105–127 (Mi ppi1283)  

This article is cited in 7 scientific papers (total in 7 papers)

Information Protection

On Quadratic Approximations in Block Ciphers

N. N. Tokareva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: We consider quadratic approximations (of Boolean functions) of a special form and their potential applications in block cipher cryptanalysis. We show that the use of $k$-bent functions as ciphering functions extremely increases the resistance of ciphers to such approximations. We consider examples of $k$-bit permutations recommended for use in S-boxes of the algorithms GOST 28147-89, DES, and $s^3\mathrm{DES}$; we show that in almost all cases there exist more probable (than linear) quadratic relations of a special form on input and output bits of these permutations.
Received: 08.02.2008
Revised: 09.04.2008
English version:
Problems of Information Transmission, 2008, Volume 44, Issue 3, Pages 266–286
DOI: https://doi.org/10.1134/S0032946008030083
Bibliographic databases:
Document Type: Article
UDC: 003.26:519.7
Language: Russian
Citation: N. N. Tokareva, “On Quadratic Approximations in Block Ciphers”, Probl. Peredachi Inf., 44:3 (2008), 105–127; Problems Inform. Transmission, 44:3 (2008), 266–286
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/ppi1283
  • https://www.mathnet.ru/eng/ppi/v44/i3/p105
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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    Abstract page:559
    Full-text PDF :116
    References:58
    First page:7
     
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