#12200: Implementing an algorithm for contructing genus 2 hyperelliptic curves
over
fields of characteristic 2
-----------------------------+----------------------------------------------
Reporter: florian | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.8
Component: number theory | Keywords: Hyperelliptic curve sd35
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies: #6341
-----------------------------+----------------------------------------------
Mestre's algorithm for constructing hyperelliptic curves has been
implemented see ticket [http://trac.sagemath.org/sage_trac/ticket/6341
#6341] but it does not work over finite field of characteristic 2
{{{
.. TODO::
Mestre's algorithm also only works over finite field of
charateristic different from two, another algorithm will be needed for
field of characteristic two.
sage:
HyperellipticCurve_from_invariants([GF(2)(1),GF(2)(1),GF(2)(0),GF(2)(1)])
# todo: not implemented
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12200>
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