Fast Jacobian arithmetic for hyperelliptic curves of genus 3
Number Theory
2019-02-13 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1607.08602,
title = {Fast Jacobian arithmetic for hyperelliptic curves of genus 3},
author = {Andrew V. Sutherland},
journal= {arXiv preprint arXiv:1607.08602},
year = {2019}
}
Comments
Minor corrections, updated references; 15 pages