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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}
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  • 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
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    Математические вопросы криптографии
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