Paper 2008/209 Original: eprint.iacr.org/2008/209 ↗
Computing Bilinear Pairings on Elliptic Curves with Automorphisms
Abstract
In this paper, we present a novel method for constructing a super-optimal pairing with great efficiency, which we call the omega pairing. The computation of the omega pairing requires the simple final exponentiation and short loop length in Miller's algorithm which leads to a significant improvement over the previously known techniques on certain pairing-friendly curves. Experimental results show that the omega pairing is about 22% faster and 19% faster than the super-optimal pairing proposed by Scott at security level of AES 80 bits on certain pairing-friendly curves in affine coordinate systems and projective coordinate systems, respectively.
Metadata
- Available format(s)
PDF- Publication info
- Preprint.
- History
- 2013-11-24: last updated
- 2008-05-21: published
- Short URL
- https://ia.cr/2008/209
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2008/209,
author = {Chang-An Zhao and Dongqing Xie and Fangguo Zhang and Jingwei Zhang and Bing-Long Chen},
title = {Computing Bilinear Pairings on Elliptic Curves with Automorphisms},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/209},
year = {2008},
url = {https://eprint.iacr.org/2008/209}
}