#12928: critical bug in multivariate polynomial factorization over GF(2)
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       Reporter:  zimmerma       |         Owner:  tbd     
           Type:  defect         |        Status:  new     
       Priority:  critical       |     Milestone:  sage-5.1
      Component:  factorization  |    Resolution:          
       Keywords:                 |   Work issues:          
Report Upstream:  N/A            |     Reviewers:          
        Authors:                 |     Merged in:          
   Dependencies:                 |      Stopgaps:          
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Comment (by zimmerma):

 here is another example:
 {{{
 sage: R.<x,t> = GF(2)[]
 sage: f=x^6 + (t^5 + t^2)*x + t^5 + t^4 + t^3 + 1
 sage: factor(f,proof=False)
 x^6 + x*t^5 + t^5 + t^4 + x*t^2 + t^3 + 1
 sage: f % (x+t+1)
 0
 }}}
 Note that the factorization algorithm seems not to be deterministic, thus
 some times the
 factorization is correct.

 Paul

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12928#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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