#10443: Improvements to ideallog
------------------------------+---------------------------------------------
Reporter: davidloeffler | Owner: davidloeffler
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6.2
Component: number fields | Keywords: ideal discrete logarithm
Author: David Loeffler | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by newvalueoldvalue):
* status: new => needs_review
* author: => David Loeffler
Old description:
> It's often useful to be able to solve the discrete logarithm problem for
> the multiplicative group of a number field modulo an (integral) ideal.
> Pari's function "ideallog" does this, but it uses a choice of generators
> which are chosen in an arbitrary and non-deterministic way.
>
> The aim of this patch is to make it possible to compute discrete logs
> with respect to a user-specified set of generators. This is a
> prerequisite for my work with Jared Weinstein on local components of
> modular forms.
New description:
It's often useful to be able to solve the discrete logarithm problem for
the multiplicative group of a number field modulo an (integral) ideal. Our
wrapper around Pari's function "ideallog" does this, but it uses a choice
of generators which are chosen in an arbitrary and non-deterministic way.
The aim of this patch is to make it possible to compute discrete logs with
respect to a user-specified set of generators. This is a prerequisite for
my work with Jared Weinstein on local components of modular forms.
--
Comment:
Here's a patch.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10443#comment:1>
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