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 Mat. Vopr. Kriptogr.: Year: Volume: Issue: Page: Find

 Mat. Vopr. Kriptogr., 2016, Volume 7, Issue 4, Pages 67–80 (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

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.

DOI: https://doi.org/10.4213/mvk204

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Bibliographic databases:

Document Type: Article
UDC: 519.212.2

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
\Bibitem{Kop16} \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://www.ams.org/mathscinet-getitem?mr=3621523} \elib{http://elibrary.ru/item.asp?id=28931406}