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Mat. Vopr. Kriptogr., 2015, Volume 6, Issue 1, Pages 57–79 (Mi mvk151)  

This article is cited in 2 scientific papers (total in 2 papers)

Explicit accuracy estimates for the Poisson approximation to the distribution of the number of solutions of random inclusions

V. A. Kopytceva, V. G. Mikhailovb

a Academy of Cryptography of the Russian Federation, Moscow
b Steklov Mathematical Institute of RAS, Moscow

Abstract: We study the accuracy of the Poisson approximation for the distribution of the number of solutions of the system of random inclusions belonging to a given set of pairwise nonproportional vectors over the finite field. Numerical examples are given.

Key words: systems of random inclusions, systems of polynomial equations, Poisson's approximation.

DOI: https://doi.org/10.4213/mvk151

Full text: PDF file (565 kB)
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Bibliographic databases:

UDC: 519.212
Received 22.IV.2014

Citation: V. A. Kopytcev, V. G. Mikhailov, “Explicit accuracy estimates for the Poisson approximation to the distribution of the number of solutions of random inclusions”, Mat. Vopr. Kriptogr., 6:1 (2015), 57–79

Citation in format AMSBIB
\Bibitem{KopMik15}
\by V.~A.~Kopytcev, V.~G.~Mikhailov
\paper Explicit accuracy estimates for the Poisson approximation to the distribution of the number of solutions of random inclusions
\jour Mat. Vopr. Kriptogr.
\yr 2015
\vol 6
\issue 1
\pages 57--79
\mathnet{http://mi.mathnet.ru/mvk151}
\crossref{https://doi.org/10.4213/mvk151}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3528059}
\elib{https://elibrary.ru/item.asp?id=23211524}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Kopyttsev, V. G. Mikhailov, “Estimates for distribution of the minimal distance of a random linear code”, Discrete Math. Appl., 26:4 (2016), 203–211  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. V. A. Kopyttsev, “Predelnye teoremy o normalnom raspredelenii dlya chisla reshenii nelineinykh vklyuchenii”, Matem. vopr. kriptogr., 11:4 (2020), 77–96  mathnet  crossref
  • Математические вопросы криптографии
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