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More on structure-ranks of matrices

โœ Scribed by Richard A. Brualdi; Jennifer J.Q. Massey

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
406 KB
Volume
183
Category
Article
ISSN
0024-3795

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Let M = m ij be a random n ร— 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 โ‰ˆ 0 28879 provided min p 1 -p โ‰ฅ log n + d n /n for any d n โ†’ โˆž. Sharp

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