#7253: inefficient polynomial powering for positive characteristic
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Reporter: robertwb | Owner: tbd
Type: defect | Status: new
Priority: major | Milestone: sage-wishlist
Component: algebra | Keywords:
Work_issues: | Author:
Reviewer: | Merged:
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Description changed by robertwb:
Old description:
> One can take advantage of the fact that (a+b)^p^ = a^p^ + b^p^ to quickly
> expand f^n^ = f^qp^ * f^r^ (where r<p, so one can literally write out the
> resulting monomials).
>
> See http://groups.google.com/group/sage-
> support/browse_thread/thread/38c3d619a7684a90
New description:
One can take advantage of the fact that (a+b)^p^ = a^p^ + b^p^ to quickly
expand f^n^ = f^qp^ * f^r^ (as r<p, and f^p is sparse, the resulting
product is easy to compute).
See http://groups.google.com/group/sage-
support/browse_thread/thread/38c3d619a7684a90
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7253#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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