Welcome to the resource topic for 2004/118
Title:
Fast addition on non-hyperelliptic genus 3 curves
Authors: Stéphane Flon, Roger Oyono, Christophe Ritzenthaler
Abstract:We present a fast addition algorithm in the Jacobian of a genus 3 non-hyperelliptic curve over a field of any characteristic. When the curve has a rational flex and \textrm{char}(k) > 5, the computational cost for addition is 148M+15SQ+2I and 165M+20SQ+2I for doubling. An appendix focuses on the computation of flexes in all characteristics. For large odd q, we also show that the set of rational points of a non-hyperelliptic curve of genus 3 can not be an arc.
ePrint: https://eprint.iacr.org/2004/118
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