Paper 2003/143 Original: eprint.iacr.org/2003/143 ↗
Elliptic curves suitable for pairing based cryptography
Abstract
We give a method for constructing ordinary elliptic curves over finite prime field $\mathbb{F}_p$ with small security parameter $k$ with respect to a prime $\ell$ dividing the group order $\#E(\mathbb{F}_p)$ such that $p<<\ell^2$.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2003-08-05: last updated
- 2003-07-24: published
- Short URL
- https://ia.cr/2003/143
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2003/143,
author = {Friederike Brezing and Annegret Weng},
title = {Elliptic curves suitable for pairing based cryptography},
howpublished = {Cryptology {ePrint} Archive, Paper 2003/143},
year = {2003},
url = {https://eprint.iacr.org/2003/143}
}