#10443: Discrete logarithms for number field ideals
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Reporter: davidloeffler | Owner: davidloeffler
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6.2
Component: number fields | Keywords: ideal discrete logarithm
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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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.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10443>
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