#15976: IntegerLattice class
-------------------------------------+-------------------------------------
       Reporter:  malb               |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.3
      Component:  linear algebra     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Martin Albrecht    |    Reviewers:  Daniel Krenn
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/ticket/15976                |  95c1dd92891fb2405cb1f8e0384cef0305a2b9e1
   Dependencies:                     |     Stopgaps:
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Comment (by malb):

 Running times are okay, but I reduced the dimension to 60 anyway. Also, I
 marked a long doctest as long (a voronoi cell computation).

 {{{#!python
 sage: from sage.modules.free_module_integer import IntegerLattice
 sage: A = sage.crypto.gen_lattice(type='random', n=1, m=100, q=2^60,
 seed=42)
 sage: L = IntegerLattice(A, lll_reduce=False)
 sage: min(v.norm().n() for v in L.reduced_basis)
 4.17330740711759e15

 sage: %time L.LLL()
 CPU times: user 268 ms, sys: 0 ns, total: 268 ms
 Wall time: 269 ms
 100 x 100 dense matrix over Integer Ring

 sage: %time L.BKZ(block_size=10)
 CPU times: user 1.25 s, sys: 0 ns, total: 1.25 s
 Wall time: 1.25 s
 100 x 100 dense matrix over Integer Ring
 }}}}

 However, doctests pass on my machine, which is strange.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=95c1dd92891fb2405cb1f8e0384cef0305a2b9e1
 95c1dd9]||{{{mark long doctest as #long and reduce lattice dimension in
 other}}}||

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Ticket URL: <http://trac.sagemath.org/ticket/15976#comment:62>
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