Prikladnaya Diskretnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Prikl. Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Prikladnaya Diskretnaya Matematika, 2008, Number 1(1), Pages 50–54 (Mi pdm10)  

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

Mathematical Methods of Cryptography

Quadratic approximations of the special type for the 4-bit permutations in S-boxes

N. N. Tokarevaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (475 kB) Citations (1)
Abstract: We consider quadratic approximations (for Boolean functions) of the special type and study the ability of application them in nonlinear cryptanalysis of block ciphers. For 4-bit permutations with the most high nonlinearity recommended for using in S-boxes of GOST 28147-89, DES, s$^3$DES we show that for the all of them (excepting only one) there are quadratic equalities of the special type on input and output bits with probability more high than any linear equality has.
Document Type: Article
UDC: 003.26 519.7
Language: Russian
Citation: N. N. Tokareva, “Quadratic approximations of the special type for the 4-bit permutations in S-boxes”, Prikl. Diskr. Mat., 2008, no. 1(1), 50–54
Citation in format AMSBIB
\Bibitem{Tok08}
\by N.~N.~Tokareva
\paper Quadratic approximations of the special type for the 4-bit permutations in S-boxes
\jour Prikl. Diskr. Mat.
\yr 2008
\issue 1(1)
\pages 50--54
\mathnet{http://mi.mathnet.ru/pdm10}
Linking options:
  • https://www.mathnet.ru/eng/pdm10
  • https://www.mathnet.ru/eng/pdm/y2008/i1/p50
  • 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
    Прикладная дискретная математика
    Statistics & downloads:
    Abstract page:325
    Full-text PDF :128
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024