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Diskretnaya Matematika, 2021, Volume 33, Issue 3, Pages 3–40
DOI: https://doi.org/10.4213/dm1639 (Mi dm1639) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space

D. A. Burov

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DOI: https://doi.org/10.4213/dm1639
Abstract: We study scatter properties of the modular addition operation for imprimitivity systems of the translation group of the binary vector space $V_n = \{0,1\}^n$. We describe all the subspaces of the space $V_n$ that induce imprimitivity systems with worst possible scatter by the modular addition operation.
Keywords: cryptographic algorithm, modular addition operation, scattering transformations, binary space, translation group, imprimitivity system.
Received: 17.03.2021
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 3, Pages 127–156
DOI: https://doi.org/10.1515/dma-2023-0013
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: D. A. Burov, “On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space”, Diskr. Mat., 33:3 (2021), 3–40; Discrete Math. Appl., 33:3 (2023), 127–156
Citation in format AMSBIB
\Bibitem{Bur21}
\by D.~A.~Burov
\paper On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 3
\pages 3--40
\mathnet{http://mi.mathnet.ru/dm1639}
\crossref{https://doi.org/10.4213/dm1639}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 3
\pages 127--156
\crossref{https://doi.org/10.1515/dma-2023-0013}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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