Cybernetics and Systems Analysis

, Volume 46, Issue 3, pp 405–419 | Cite as

Application of a fast simulation method to the estimation of the number of some k-dimensional subspaces over a finite space

  • V. I. Masol
  • I. N. Kuznetsov


A fast simulation method is proposed for estimation of the number of k-dimensional subspaces of weight w in an n-dimensional vector space over the Galois field containing q components. Unbiased estimates are constructed for the cases when w = 1 and w = 2, and lower and upper estimates are proposed for the case when w = 3. It is proved that the relative error remains bounded as q → ∞. A high accuracy of the method proposed is illustrated by numerical examples.


vector space Galois field weight of space weighted simulation method unbiased estimator relative mean-square error 


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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Taras Shevchenko National UniversityKievUkraine
  2. 2.V. M. Glushkov Cybernetics Institute, National Academy of Sciences of UkraineKievUkraine

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