Paper 2010/575 Original: eprint.iacr.org/2010/575 ↗
A Discrete Logarithm Attack on Elliptic Curves
Abstract
We give an improved index calculus attack for a large class of elliptic curves. Our algorithm works by efficiently transferring the group structure of an elliptic curve to a weaker group. The running time of our attack poses a significant and realistic threat to the security of the elliptic curves in this class. As a consequence of our construction, we will also derive entirely new point counting algorithms. These algorithms set new run-time complexity records. We discuss implementations of these algorithms and give examples.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2010-11-11: last updated
- 2010-11-11: published
- Short URL
- https://ia.cr/2010/575
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2010/575,
author = {Otto Johnston},
title = {A Discrete Logarithm Attack on Elliptic Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2010/575},
year = {2010},
url = {https://eprint.iacr.org/2010/575}
}