Paper 2003/053 Original: eprint.iacr.org/2003/053 ↗
Tate-pairing implementations for tripartite key agreement
Abstract
We give a closed formula for the Tate-pairing on the hyperelliptic curve $y^2 = x^p - x + d$ in characteristic $p$. This improves recent implementations by Barreto et.al. and by Galbraith et.al. for the special case $p=3$. As an application, we propose a $n$-round key agreement protocol for up to $3^n$ participants by extending Joux's pairing-based protocol to $n$ rounds.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2003-03-18: last updated
- 2003-03-18: published
- Short URL
- https://ia.cr/2003/053
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2003/053,
author = {Iwan Duursma and Hyang-Sook Lee},
title = {Tate-pairing implementations for tripartite key agreement},
howpublished = {Cryptology {ePrint} Archive, Paper 2003/053},
year = {2003},
url = {https://eprint.iacr.org/2003/053}
}