#16931: Elliptic curve point counting over F_q using new PARI
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/16931 | 2049945d20f8e5561da7b1e80ece0255d43b3bdd
Dependencies: #15767, #16927, | Stopgaps:
#8373, #16930, #16934, #16944, |
#16946, #16947 |
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Description changed by jdemeyer:
Old description:
> The new version of PARI (#15767) supports point counting over `F_q`
> instead of `F_p`. We should use this new functionality in Sage!
>
> It has some [http://pari.math.u-bordeaux.fr/cgi-
> bin/bugreport.cgi?bug=1606 known issues], however it seems that these
> only appear over large fields which were infeasible with the old Sage
> algorithm anyway, so we don't really lose anything.
New description:
The new version of PARI (#15767) supports point counting over `F_q`
instead of `F_p`. We should use this new functionality in Sage!
It has some [http://pari.math.u-bordeaux.fr/cgi-bin/bugreport.cgi?bug=1606
known issues], however it seems that these only appear over large fields
of small characteristic which were infeasible with the old Sage algorithm
anyway, so we don't really lose anything.
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Ticket URL: <http://trac.sagemath.org/ticket/16931#comment:15>
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