Dear Watson Ladd,
>However, there is a problem in that there may be an isogeny to a
>non-hyperelliptic curve.
I was looking just a bit into it: [1] presents such an isogeny for curves
defined over fields with characteristic > 3.
Do you know of a similar result for smaller characteristics?
Best,
Jörn
[1] Benjamin Smith, Isogenies and the discrete logarithm problem in jacobians
of genus 3 hyperelliptic curves
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