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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2014, Volume 5, Issue 4, Pages 99–127
DOI: https://doi.org/10.4213/mvk137
(Mi mvk137)
 

This article is cited in 3 scientific papers (total in 3 papers)

Orbital derivatives on residue rings. Part I. General properties

B. A. Pogorelova, M. A. Pudovkinab

a Academy of Cryptography of the Russian Federation, Moscow
b National Nuclear Research University, Moscow
Full-text PDF (479 kB) Citations (3)
References:
Abstract: For mappings $f\colon H\to F$, where $H$ and $F$ are Abelian groups, a definition of the $t^{th}$-order orbital derivative is introduced. The definition is based on structures of orbits of subgroups of $H$. Properties of the $t^{th}$-order orbital derivative on the residue ring $\mathbb Z_{2^n}$ are described.
Key words: orbital derivative, Abelian groups, orbits of groups, impossible sets.
Received 22.IV.2013
Document Type: Article
UDC: 519.719.2
Language: Russian
Citation: B. A. Pogorelov, M. A. Pudovkina, “Orbital derivatives on residue rings. Part I. General properties”, Mat. Vopr. Kriptogr., 5:4 (2014), 99–127
Citation in format AMSBIB
\Bibitem{PogPud14}
\by B.~A.~Pogorelov, M.~A.~Pudovkina
\paper Orbital derivatives on residue rings. Part~I. General properties
\jour Mat. Vopr. Kriptogr.
\yr 2014
\vol 5
\issue 4
\pages 99--127
\mathnet{http://mi.mathnet.ru/mvk137}
\crossref{https://doi.org/10.4213/mvk137}
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  • https://www.mathnet.ru/eng/mvk137
  • https://doi.org/10.4213/mvk137
  • https://www.mathnet.ru/eng/mvk/v5/i4/p99
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические вопросы криптографии
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    Abstract page:418
    Full-text PDF :191
    References:76
    First page:15
     
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