Improved nth root for finite fields and integer_mods

roed314 commented 14 years ago

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 xⁿ - a.

CC: @robertwb

Component: algebra

Keywords: finite fields, nth root

Author: David Roe

Reviewer: Paul Zimmermann, David Loeffler, Bill Hart

Merged: sage-4.6.2.alpha4

Issue created by migration from https://trac.sagemath.org/ticket/7931

roed314 commented 13 years ago

comment:40

Great! Thanks to all of the reviewers for looking at this.

jdemeyer commented 13 years ago

Merged: sage-4.6.2.alpha4

sagemath / sage

Improved nth root for finite fields and integer_mods #7931