#13642: Modular exponentiation of polynomials
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       Reporter:  caruso                               |         Owner:  
AlexGhitza   
           Type:  defect                               |        Status:  
needs_review 
       Priority:  major                                |     Milestone:  
sage-5.11    
      Component:  algebra                              |    Resolution:         
      
       Keywords:  modular exponentiation, polynomials  |   Work issues:         
      
Report Upstream:  N/A                                  |     Reviewers:  Burcin 
Erocal
        Authors:  caruso                               |     Merged in:         
      
   Dependencies:                                       |      Stopgaps:         
      
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Changes (by caruso):

  * status:  needs_work => needs_review


Old description:

> A faster implementation of modular exponentiation of polynomials.
>
> This implementation is used to improve speed in factorisation of skew
> polynomials (see ticket #13215).

New description:

 A faster implementation of modular exponentiation of polynomials.

 This implementation is used to improve speed in factorisation of skew
 polynomials (see ticket #13215).

 -----
 Apply: [attachment: trac_13642_modular_exp_polynomial-2.patch]

--

Comment:

 Actually, I did not know the function {{{power_mod}}} (I duplicated and
 adapted the code from
 {{{sage.rings.polynomial.polynomial_element.__pow__}}}). I attach a new
 patch where I just call {{{power_mod}}} instead of {{{_pow_modulus}}}.
 Timings are comparable. I don't know if it's better this way. I let you
 judge.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13642#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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