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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2016, Volume 7, Issue 4, Pages 67–80
DOI: https://doi.org/10.4213/mvk204 (Mi mvk204) 		 
A multivariate Poisson theorem for the number of solutions of random inclusions close to given vectors

V. A. Kopytcev

Academy of Cryptography of the Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk204
Abstract: We consider the number of solutions of random inclusion over a finite field that differ from a reference vector by no more than a specified number of coordinates. We find conditions on the growth of vector dimensions under which the number of solutions close to some reference vectors are asymptotically independent and their distributions converge to the Poisson distributions.
Key words: random inclusions over the finite field, number of solutions, Poisson approcsimation for the number of solutions.
Received 01.IX.2016
Bibliographic databases:
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: V. A. Kopytcev, “A multivariate Poisson theorem for the number of solutions of random inclusions close to given vectors”, Mat. Vopr. Kriptogr., 7:4 (2016), 67–80
Citation in format AMSBIB
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\by V.~A.~Kopytcev
\paper A multivariate Poisson theorem for the number of solutions of random inclusions close to given vectors
\jour Mat. Vopr. Kriptogr.
\yr 2016
\vol 7
\issue 4
\pages 67--80
\mathnet{http://mi.mathnet.ru/mvk204}
\crossref{https://doi.org/10.4213/mvk204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3621523}
\elib{https://elibrary.ru/item.asp?id=28931406}
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