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Singularity Probabilities for Random Matrices over Finite Fields
JEFF KAHN, JÁNOS KOMLÓS
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Source: Crossref
Published: Mar 1, 2001
DOI: 10.1017/s096354830100462x
Open original source ↗Source abstract
Fix q and let M n be an n × n matrix with entries drawn independently from the finite field F q according to some distribution μ n . It is shown that, except in certain pathological cases, the probability that M n is nonsingular is asymptotically the same as for uniform entries; that is, [Formula here]
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