#20493: Rank of random matrices over GF(2) is bounded (again)
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Reporter: kedlaya | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.2
Component: linear algebra | Resolution:
Keywords: random matrices, rank, | Merged in:
pseudorandom numbers | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps: todo
Dependencies: |
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Comment (by dimpase):
{{{
sage: [random_matrix(GF(2), 19937, 19937).rank() for i in range(5)]
[19906, 19906, 19906, 19906, 19906]
sage: [random_matrix(GF(2), 19936, 19936).rank() for i in range(5)]
[19905, 19905, 19905, 19905, 19905]
}}}
so here the rank is off by 2^5^-1.
Definitely something funny with the Mersenne twister...
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Ticket URL: <http://trac.sagemath.org/ticket/20493#comment:2>
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