Paper 2005/236 Original: eprint.iacr.org/2005/236 ↗
Effective Polynomial Families for Generating More Pairing-Friendly Elliptic Curves
Abstract
Finding suitable non-supersingular elliptic curves becomes an important issue for the growing area of pairing-based cryptosystems. For this purpose, many methods have been proposed when embedding degree k and cofactor h are taken different values. In this paper we propose a new method to find pairing-friendly elliptic curves without restrictions on embedding degree k and cofactor h. We propose the idea of effective polynomial families for finding the curves through different kinds of Pell equations or special forms of D(x)V^2(x). In addition, we discover some efficient families which can be used to build pairing-friendly elliptic curves over extension fields, e.g. Fp^2 and Fp^4.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2005-08-28: last updated
- 2005-07-30: published
- Short URL
- https://ia.cr/2005/236
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2005/236,
author = {Pu Duan and Shi Cui and Choong Wah Chan},
title = {Effective Polynomial Families for Generating More Pairing-Friendly Elliptic Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/236},
year = {2005},
url = {https://eprint.iacr.org/2005/236}
}