Let M = m ij be a random n Γ n matrix over GF(2). Each matrix entry m ij is independently and identically distributed, with Pr m ij = 0 = 1 -p n and Pr m ij = 1 = p n . The probability that the matrix M is nonsingular tends to c 2 β 0 28879 provided min p 1 -p β₯ log n + d n /n for any d n β β. Sharp
β¦ LIBER β¦
On the Rank of the Projection of a Random Process
β Scribed by Ephremides, A.
- Book ID
- 118226711
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1976
- Tongue
- English
- Weight
- 279 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0040-585X
- DOI
- 10.1137/1120051
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## Abstract In this paper we improve the known bound for the __X__βrank __R~X~__(__P__) of an element \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$P\in {\mathbb {P}}^N$\end{document} in the case where \documentclass{article}\usepackage{amssymb}\begin{document}\pagest