#13770: bug in multivariate factorization over prime fields
-------------------------------------------------+-------------------------
       Reporter:  zimmerma                       |        Owner:  malb
           Type:  defect                         |       Status:
       Priority:  critical                       |  needs_review
      Component:  commutative algebra            |    Milestone:  sage-5.12
       Keywords:                                 |   Resolution:
        Authors:  Paul Zimmermann                |    Merged in:
Report Upstream:  Fixed upstream, but not in a   |    Reviewers:
  stable release.                                |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:                                 |     Stopgaps:
-------------------------------------------------+-------------------------
Description changed by jdemeyer:

Old description:

> after #11829, #11838, #12918, #12928, here is another bug in multivariate
> factorization over prime fields:
> {{{
> ----------------------------------------------------------------------
> | Sage Version 5.4.1, Release Date: 2012-11-15                       |
> | Type "notebook()" for the browser-based notebook interface.        |
> | Type "help()" for help.                                            |
> ----------------------------------------------------------------------
> sage: U.<y,t> = GF(2)[]
> sage: f
> y*t^8 + y^5*t^2 + y*t^6 + t^7 + y^6 + y^5*t + y^2*t^4 + y^2*t^2 + y^2*t +
> t^3 + y^2 + t^2
> sage: f.factor()
> y*t^8 + y^5*t^2 + y*t^6 + t^7 + y^6 + y^5*t + y^2*t^4 + y^2*t^2 + y^2*t +
> t^3 + y^2 + t^2
> sage: f % (t^2+t+y+1)
> 0
> }}}
> When will Sage be usable for this kind of computation?
>
> '''spkg''': http://www.loria.fr/~zimmerma/singular-3-1-5.p8.spkg
>
> '''apply''' [attachment:trac_13770.patch]

New description:

 after #11829, #11838, #12918, #12928, here is another bug in multivariate
 factorization over prime fields:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 5.4.1, Release Date: 2012-11-15                       |
 | Type "notebook()" for the browser-based notebook interface.        |
 | Type "help()" for help.                                            |
 ----------------------------------------------------------------------
 sage: U.<y,t> = GF(2)[]
 sage: f
 y*t^8 + y^5*t^2 + y*t^6 + t^7 + y^6 + y^5*t + y^2*t^4 + y^2*t^2 + y^2*t +
 t^3 + y^2 + t^2
 sage: f.factor()
 y*t^8 + y^5*t^2 + y*t^6 + t^7 + y^6 + y^5*t + y^2*t^4 + y^2*t^2 + y^2*t +
 t^3 + y^2 + t^2
 sage: f % (t^2+t+y+1)
 0
 }}}
 When will Sage be usable for this kind of computation?

 '''spkg''': http://www.loria.fr/~zimmerma/singular-3-1-5.p8.spkg

 '''apply''' [attachment:trac_13770.patch]

 See also upstream [https://github.com/Singular/Sources/pull/215]

--

--
Ticket URL: <http://trac.sagemath.org/ticket/13770#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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