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This article is cited in 2 scientific papers (total in 2 papers)
Conditions of convergence to the Poisson distribution for 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:
Let $F$ be a random mapping of $n$-dimensional space $V^n$ over the finite field $GF(q)$ into $T$-dimensional space $V^T$ over the same field; let $D\subset V^n$, $B\subset V^T$. For the number of solutions of random inclusions $x\in D$, $F(x)\in B$ we find new sufficient conditions of weak convergence to the Poisson law as $n,T\to\infty$.
Key words:
random inclusions, systems of random equations, number of solutions, Poisson convergence.
Received 20.V.2011
Citation:
V. A. Kopytcev, V. G. Mikhailov, “Conditions of convergence to the Poisson distribution for the number of solutions of random inclusions”, Mat. Vopr. Kriptogr., 3:3 (2012), 35–55
Linking options:
https://www.mathnet.ru/eng/mvk60https://doi.org/10.4213/mvk60 https://www.mathnet.ru/eng/mvk/v3/i3/p35
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