[curves] The genus 3 setting

Schmidt, Jörn-Marc Joern-Marc.Schmidt at secunet.com
Thu Apr 10 07:37:51 PDT 2014


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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