#7931: Improved nth root for finite fields and integer_mods
---------------------------+------------------------------------------------
   Reporter:  roed         |       Owner:  AlexGhitza             
       Type:  enhancement  |      Status:  needs_review           
   Priority:  major        |   Milestone:  sage-4.3.1             
  Component:  algebra      |    Keywords:  finite fields, nth root
Work_issues:               |      Author:  David Roe              
   Upstream:  N/A          |    Reviewer:                         
     Merged:               |  
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Changes (by roed):

  * status:  new => needs_review


Old description:

> Implements an algorithm described in
> {{
> Johnston, Anna M. A generalized qth root algorithm.
> Proceedings of the tenth annual ACM-SIAM symposium on Discrete
> algorithms.
> Baltimore, 1999: pp 929-930.
> }}}
>
> This means we can take nth roots with large n, since we no longer need to
> create the polynomial x^n-a.

New description:

 Implements an algorithm described in
 {{{
 Johnston, Anna M. A generalized qth root algorithm.
 Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms.
 Baltimore, 1999: pp 929-930.
 }}}

 This means we can take nth roots with large n, since we no longer need to
 create the polynomial x^n^ - a.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7931#comment:1>
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