Skip to main content
SpringerLink
Log in

Asymptotic behavior of the number of certaink-dimensional subspaces over a finite field

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

For some values ofk, we find the asymptotic behavior, asn → ∞, of the probability that a subspace, whose choice is random and equiprobable, chosen among the set of all differentk-dimensional subspaces of ann-dimensional vector space over a finite field, has a given weightω ∈ {1, 2, ...,n}. In particular, forω ∈ {1, 2}, this probability can have exponential behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. E. Andrews,The Theory of Partitions, Addison-Wesley, Reading, Mass. (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kiev State University, USSR

    V. I. Masol

Authors
  1. V. I. Masol
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematicheskie Zametki, Vol. 59, No. 5, pp. 729–736, May, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Masol, V.I. Asymptotic behavior of the number of certaink-dimensional subspaces over a finite field. Math Notes 59, 525–530 (1996). https://doi.org/10.1007/BF02308820

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02308820

Keywords

Search

Navigation