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, 2023, Number 62, Pages 21–28
DOI: https://doi.org/10.17223/20710410/62/3
(Mi pdm818)
 

Mathematical Methods of Cryptography

On the number of $\ell$-suitable Boolean functions in constructions of filter and combining models of stream ciphers

T. A. Bonicha, M. A. Panferovb, N. N. Tokarevaa

a Novosibirsk State University, Novosibirsk, Russia,
b Sobolev Institute of Mathematics, Novosibirsk, Russia
References:
Abstract: It is well known that every stream cipher is based on a good pseudorandom generator. For cryptographic purposes, we are interested in generating pseudorandom sequences with the maximum possible period. A feedback register is one of the most known cryptographic primitives that is used to construct stream ciphers. We consider periodic properties of pseudorandom sequences produced by filter and combiner generators (two known schemes of stream generators based on feedback registers). We analyze functions in these schemes that lead to output sequences of period at least a given number $\ell$. We call such functions $\ell$-suitable and count the exact number of them for an arbitrary $n$.
Keywords: stream cipher, filter generator, combiner generator, Boolean function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
The work is supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.
Document Type: Article
UDC: 519.7
Language: English
Citation: T. A. Bonich, M. A. Panferov, N. N. Tokareva, “On the number of $\ell$-suitable Boolean functions in constructions of filter and combining models of stream ciphers”, Prikl. Diskr. Mat., 2023, no. 62, 21–28
Citation in format AMSBIB
\Bibitem{BonPanTok23}
\by T.~A.~Bonich, M.~A.~Panferov, N.~N.~Tokareva
\paper On the number of $\ell$-suitable Boolean functions in constructions of filter and combining models of stream ciphers
\jour Prikl. Diskr. Mat.
\yr 2023
\issue 62
\pages 21--28
\mathnet{http://mi.mathnet.ru/pdm818}
\crossref{https://doi.org/10.17223/20710410/62/3}
Linking options:
  • https://www.mathnet.ru/eng/pdm818
  • https://www.mathnet.ru/eng/pdm/y2023/i4/p21
  • 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:54
    Full-text PDF :20
    References:11
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024