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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



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






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


Prikladnaya Diskretnaya Matematika. Supplement, 2020, Issue 13, Pages 40–41
DOI: https://doi.org/10.17223/2226308X/13/12
(Mi pdma492)
 

Discrete Functions

On one-to-one property of a vectorial Boolean function of the special type

M. M. Zapolskiya, N. N. Tokarevaba

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract: $\mathrm{S}$-boxes are widely used in cryptography. In particular, they form important components of SP and Feistel networks. Mathematically, $\mathrm{S}$-box is a vectorial Boolean function $F:\mathbb{F}_{2}^{n} \to \mathbb{F}_{2}^{m}$ that should satisfy several cryptographic properties. Usually $n=m$. We study one-to-one property of a vectorial Boolean function constructed in a special way on the base of a Boolean function and a permutation on $n$ elements. The number of all one-to-one functions of this type is calculated.
Keywords: Boolean function, vectorial Boolean function, $\mathrm{S}$-box.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0017
Russian Foundation for Basic Research 18-07-01394_а
The work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0017) and supported by RFBR (project no. 18-07-01394) and Laboratory of Cryptography JetBrains Research.
Document Type: Article
UDC: 519.7
Language: English
Citation: M. M. Zapolskiy, N. N. Tokareva, “On one-to-one property of a vectorial Boolean function of the special type”, Prikl. Diskr. Mat. Suppl., 2020, no. 13, 40–41
Citation in format AMSBIB
\Bibitem{ZapTok20}
\by M.~M.~Zapolskiy, N.~N.~Tokareva
\paper On one-to-one property of a vectorial Boolean function of the special type
\jour Prikl. Diskr. Mat. Suppl.
\yr 2020
\issue 13
\pages 40--41
\mathnet{http://mi.mathnet.ru/pdma492}
\crossref{https://doi.org/10.17223/2226308X/13/12}
Linking options:
  • https://www.mathnet.ru/eng/pdma492
  • https://www.mathnet.ru/eng/pdma/y2020/i13/p40
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Diskretnaya Matematika. Supplement
    Statistics & downloads:
    Abstract page:155
    Full-text PDF :61
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024