Application of a fast simulation method to the estimation of the number of some k-dimensional subspaces over a finite space
- 23 Downloads
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.
Keywordsvector space Galois field weight of space weighted simulation method unbiased estimator relative mean-square error
Unable to display preview. Download preview PDF.