#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  |          Keywords:          
Work issues:                 |   Report Upstream:  N/A     
  Reviewers:                 |           Authors:          
  Merged in:                 |      Dependencies:          
   Stopgaps:                 |  
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 consider the following (both with Sage 4.8 and Sage 5.0.beta13 without
 {{{proof=False}}}):
 {{{
 sage: R.<x,y>=GF(2)[]
 sage: factor(x^6 + y^6 + x^5 + x^3 + x + 1,proof=False)
 x^6 + y^6 + x^5 + x^3 + x + 1
 sage: (x^4+y^2*x^2+x^2+y^2*x+y^4+y^2+1)*(x^2+x+y^2+1)
 x^6 + y^6 + x^5 + x^3 + x + 1
 }}}
 This seems to be a bug in Singular factorization. I set the priority to
 "critical" since this is really a very basic routine.

 Paul

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