Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Vopr. Kriptogr.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2024, Volume 15, Issue 1, Pages 97–125
DOI: https://doi.org/10.4213/mvk464
(Mi mvk464)
 

On the Bit-Slice representations of some nonlinear bijective transformations

O. C. Puente, R. F. Leal, R. A. de la Cruz Jiménez

Institute of Cryptography, Havana University, Cuba
References:
Abstract: We study how to obtain efficient Bit-Slice representations in some classes of nonlinear bijective transformations having almost optimal cryptographic properties. For some 8-bit instances belonging to these classes, we determine (by combining analytical methods with a open source tool) its low gate count logic circuit representations through binary logic operations $\mathtt{AND, XOR, OR}$ and $\mathtt{NOT}$. In particular, for the S-Box used in the Russian cryptographic standard GOST R 34.12-2015 "Kuznyechik”, we derive a Bit-Slice implementation which consume a total of 176 binary logical operations. The new representation requires 51 Boolean operations less than in previously known one (that need 227 bitwise logical operations, see, for example, [1]).
Key words: Bit-Slice, block cipher, nonlinear bijective transformation, S-Box, GOST R 34.12-2015 «Kuznyechik».
Received 18.V.2023
Document Type: Article
UDC: 519.719.2
Language: English
Citation: O. C. Puente, R. F. Leal, R. A. de la Cruz Jiménez, “On the Bit-Slice representations of some nonlinear bijective transformations”, Mat. Vopr. Kriptogr., 15:1 (2024), 97–125
Citation in format AMSBIB
\Bibitem{PueLeaDe 24}
\by O.~C.~Puente, R.~F.~Leal, R.~A.~de la Cruz Jim\'enez
\paper On the Bit-Slice representations of some nonlinear bijective transformations
\jour Mat. Vopr. Kriptogr.
\yr 2024
\vol 15
\issue 1
\pages 97--125
\mathnet{http://mi.mathnet.ru/mvk464}
\crossref{https://doi.org/10.4213/mvk464}
Linking options:
  • https://www.mathnet.ru/eng/mvk464
  • https://doi.org/10.4213/mvk464
  • https://www.mathnet.ru/eng/mvk/v15/i1/p97
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические вопросы криптографии
    Statistics & downloads:
    Abstract page:102
    Full-text PDF :16
    References:18
    First page:7
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024