Formulae for Computation of Tate Pairing on Hyperelliptic Curve Using Hyperelliptic Nets
type: Dataset
description: Stange has showed how to compute the Tate pairing on an elliptic curve using elliptic nets. After that, Uchida and Uchiyama gave a generalization of elliptic nets to hyperelliptic curves. They also gave an algorithm to compute the Tate pairing on a hyperelliptic curve of genus 2. In this paper, we extend their algorithm for curves of all genus. In a computational point of view, we also study the optimality of these algorithms.
identifier: ISBN: 978-3-319-06733-9
issued: 2026-05-05T10:32:30.696741
language: en
modified: 2026-05-05T10:32:30.696745
contact point: Organization
  fn: CCSD
keyword: book-sections
keyword: hyperelliptic-curve
keyword: hyperelliptic-net
keyword: infoeu-reposemanticsbookpart
keyword: tate-pairing
landing page: 7th International Conference on Cryptology in Africa, Marrakesh, Morocco, May 28-30, 2014. Proceedings

Formulae for Computation of Tate Pairing on Hyperelliptic Curve Using Hyperelliptic Nets
type: Distribution
format: HTML
issued: 2026-05-05T10:32:30.701448
modified: 2026-05-05T10:32:30.688362
access URL: https://hal.science/hal-00994794

test_moissonnage_selune
type: Agent