Paper 2018/307 Original: eprint.iacr.org/2018/307 ↗
Isolated Curves and the MOV Attack
Abstract
We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman-Horn conjecture, we prove that elliptic curves produced this way almost always have a large embedding degree, and thus are resistant to the MOV attack on the ECDLP.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2018-04-03: last updated
- 2018-04-03: published
- Short URL
- https://ia.cr/2018/307
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2018/307,
author = {Travis Scholl},
title = {Isolated Curves and the MOV Attack},
howpublished = {Cryptology {ePrint} Archive, Paper 2018/307},
year = {2018},
url = {https://eprint.iacr.org/2018/307}
}