#5353: add xgcd for polynomial over GF(2)
---------------------------------+------------------------------------------
 Reporter:  mhansen              |       Owner:  malb      
     Type:  defect               |      Status:  new       
 Priority:  minor                |   Milestone:  sage-3.4.1
Component:  commutative algebra  |    Keywords:            
---------------------------------+------------------------------------------
 Currently, this fails:

 {{{
 sage: R.<x> = GF(2)[]
 sage: fr = ((x+1)/(x^3+x+1) + (x+1)/(x^3+x^2+1));
 sage: fr.partial_fraction_decomposition()
 ---------------------------------------------------------------------------
 NotImplementedError                       Traceback (most recent call
 last)

 
/home/mhansen/.sage/temp/sage.math.washington.edu/19940/_home_mhansen__sage_init_sage_0.py
 in <module>()

 /home/mhansen/sage-3.3.alpha0-sage.math-
 only-x86_64-Linux/local/lib/python2.5/site-
 packages/sage/rings/fraction_field_element.so in
 
sage.rings.fraction_field_element.FractionFieldElement.partial_fraction_decomposition
 (sage/rings/fraction_field_element.c:3052)()

 /home/mhansen/sage-3.3.alpha0-sage.math-
 only-x86_64-Linux/local/lib/python2.5/site-
 packages/sage/rings/polynomial/polynomial_element.so in
 sage.rings.polynomial.polynomial_element.Polynomial.inverse_mod
 (sage/rings/polynomial/polynomial_element.c:8191)()

 /home/mhansen/sage-3.3.alpha0-sage.math-
 only-x86_64-Linux/local/lib/python2.5/site-
 packages/sage/rings/polynomial/polynomial_gf2x.so in
 sage.rings.polynomial.polynomial_gf2x.Polynomial_template.xgcd
 (sage/rings/polynomial/polynomial_gf2x.cpp:5685)()

 /home/mhansen/sage-3.3.alpha0-sage.math-
 only-x86_64-Linux/local/lib/python2.5/site-
 packages/sage/rings/polynomial/polynomial_gf2x.so in
 sage.rings.polynomial.polynomial_gf2x.celement_xgcd
 (sage/rings/polynomial/polynomial_gf2x.cpp:3517)()

 NotImplementedError:
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5353>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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