A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Fast Jacobian arithmetic for hyperelliptic curves of genus 3
2019
The Open Book Series
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.
doi:10.2140/obs.2019.2.425
fatcat:qzpotrbthjdkjbpky5rreq6iai