Paper 2007/181 Original: eprint.iacr.org/2007/181 ↗
A New Method for Speeding Up Arithmetic on Elliptic Curves over Binary Fields
Abstract
Now, It is believed that the best costs of a point doubling and addition on elliptic curves over binary fields are 4M+5S(namely, four finite field multiplications and five field squarings) and 8M+5S, respectively. In this paper we reduce the costs to less than 3M+3S and 8M+1S, respectively, by using a new projective coordinates we call PL-coordinates and rewriting the point doubling formula. Combining some programming skills, the method can speed up a elliptic curve scalar multiplication by about 15～20 percent in practice.
Metadata
- Available format(s)
PDF- Category
- Implementation
- Publication info
- Preprint.
- History
- 2007-05-20: last updated
- 2007-05-20: published
- Short URL
- https://ia.cr/2007/181
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2007/181,
author = {Kwang Ho Kim and So In Kim},
title = {A New Method for Speeding Up Arithmetic on Elliptic Curves over Binary Fields},
howpublished = {Cryptology {ePrint} Archive, Paper 2007/181},
year = {2007},
url = {https://eprint.iacr.org/2007/181}
}