Paper 2008/218 Original: eprint.iacr.org/2008/218 ↗
Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation
Abstract
From the viewpoint of x-coordinate-only arithmetic on elliptic curves, switching between the Edwards model and the Montgomery model is quasi cost-free. We use this observation to speed up Montgomery's algorithm, reducing the complexity of a doubling step from 2M + 2S to 1M + 3S for suitably chosen curve parameters.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2008-06-03: last updated
- 2008-05-23: published
- Short URL
- https://ia.cr/2008/218
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2008/218,
author = {Wouter Castryck and Steven Galbraith and Reza Rezaeian Farashahi},
title = {Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation},
howpublished = {Cryptology {ePrint} Archive, Paper 2008/218},
year = {2008},
url = {https://eprint.iacr.org/2008/218}
}