#18735: MixedIntegerLinearProgram: Reconstruct exact rational basic solution
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       Reporter:  mkoeppe         |        Owner:
           Type:  enhancement     |       Status:  new
       Priority:  major           |    Milestone:  sage-6.8
      Component:  numerical       |   Resolution:
       Keywords:  lp              |    Merged in:
        Authors:                  |    Reviewers:
Report Upstream:  N/A             |  Work issues:
         Branch:                  |       Commit:
   Dependencies:  #18685, #18688  |     Stopgaps:
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Comment (by dimpase):

 Replying to [comment:7 mkoeppe]:

 > It would be interesting to know how the solvers perform on the kind of
 LPs that you have in mind.

 LPs I get would be not possible to even enter into a solver without long
 integers/rationals.
 That's e.g. behind this function call:
 {{{
 sage:  codesize_upper_bound(70,8,2,algorithm="LP")
 9695943911863423
 }}}
 more explicitly, you can do
 {{{
 sage: v,p,r=delsarte_bound_hamming_space(70,8,2,return_data=True)
 sage: p
 Mixed Integer Program  ( maximization, 71 variables, 148 constraints )
 }}}
 constrains of `p` have entries as big as  112186277816662845432.

--
Ticket URL: <http://trac.sagemath.org/ticket/18735#comment:8>
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