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This article is cited in 9 scientific papers (total in 9 papers)
On the number of solutions of a system of random linear equations in a set of vectors of a special form
V. A. Kopyttsev
Abstract:
We analyse the distribution of the number of solutions of a system of random linear
equations over $\mathit{GF}(q)$ in the set of vectors which have a given number
of nonzero coordinates and in some subsets of this set.
We deduce sufficient conditions for convergence of the distribution to
the Poisson law, as well as to some other limit distributions related to this law,
and to the standard normal law. Here we extend the results
which the author have proved earlier for the case $q=2$.
Received: 30.12.2004
Citation:
V. A. Kopyttsev, “On the number of solutions of a system of random linear equations in a set of vectors of a special form”, Diskr. Mat., 18:1 (2006), 40–62; Discrete Math. Appl., 16:1 (2006), 39–60
Linking options:
https://www.mathnet.ru/eng/dm31https://doi.org/10.4213/dm31 https://www.mathnet.ru/eng/dm/v18/i1/p40
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Abstract page: | 539 | Full-text PDF : | 237 | References: | 57 | First page: | 1 |
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