Fast Jacobian arithmetic for hyperelliptic curves of genus 3
Andrew Sutherland · The Open Book Series · 2019
We consider the problem of efficient computation in the Jacobian of a hyperelliptic curve of genus 3 defined over a field whose characteristic is not 2.For curves with a rational Weierstrass point, fast explicit formulas are well known and widely available.Here we address the general case, in which we do not assume the existence of a rational Weierstrass point, using a balanced divisor approach.