Abstract
Genus 5 curves can be hyperelliptic, trigonal, or non-hyperelliptic non-trigonal, whose model is a complete intersection of three quadrics in P4. We present and explain algorithms we used to determine, up to isomorphism over F2, all genus 5 curves defined over F2, and we do that separately for each of the three mentioned types. We consider these curves in terms of isogeny classes over F2 of their Jacobians or their Newton polygons, and for each of the three types, we compute the number of curves over F2 weighted by the size of their F2-automorphism groups.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
