Welcome to the resource topic for 2016/179
Title:
Computing theta functions in quasi-linear time in genus 2 and above
Authors: Hugo Labrande, Emmanuel Thomé
Abstract:We outline an algorithm to compute \theta(z,\tau) in genus 2 in quasi-optimal time, borrowing ideas from the algorithm for theta constants and the one for \theta(z,\tau) in genus 1. Our implementation shows a large speedup for precisions as low as a few thousand decimal digits. We also lay out a strategy to generalize this algorithm to genus g.
ePrint: https://eprint.iacr.org/2016/179
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