This article is cited in 4 papers

Asymptotic behavior of the number of certain $k$-dimensional subspaces over a finite field

V. I. Masol

National Taras Shevchenko University of Kyiv

Abstract: For some values of $k$, we find the asymptotic behavior, as $n\to\infty$, of the probability that a subspace, whose choice is random and equiprobable, chosen among the set of all different $k$-dimensional subspaces of an $n$-dimensional vector space over a finite field, has a given weight $\omega\in\{1,2,\dots,n\}$. In particular, for $\omega\in\{1,2\}$, this probability can have exponential behavior.

UDC: 519.21

Received: 09.08.1993
Revised: 14.04.1995

DOI: 10.4213/mzm1767

 English version: Mathematical Notes, 1996, 59:5, 525–530

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