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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

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

This article is cited 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.

UDC: 519.212

Received 22.IV.2014

DOI: 10.4213/mvk151



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