Paper 2010/005 Original: eprint.iacr.org/2010/005 ↗
Skew-Frobenius map on twisted Edwards curve
Abstract
In this paper, we consider the Frobenius endomorphism on twisted Edwards curve and give the characteristic polynomial of the map. Applying the Frobenius endomorphism on twisted Edwards curve, we construct a skew-Frobenius map defined on the quadratic twist of an twisted Edwards curve. Our results show that the Frobenius endomorphism on twisted Edwards curve and the skew-Frobenius endomorphism on quadratic twist of an twisted Edwards curve can be exploited to devise fast point multiplication algorithm that do not use any point doubling. As an application, the GLV method can be used for speeding up point multiplication on twisted Edwards curve.
Metadata
- Available format(s)
PDF- Category
- Implementation
- Publication info
- Preprint.
- History
- 2010-01-07: last updated
- 2010-01-07: published
- Short URL
- https://ia.cr/2010/005
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2010/005,
author = {Mingqiang Wang and Xiaoyun Wang and Tao Zhan and Yuliang Zheng},
title = {Skew-Frobenius map on twisted Edwards curve},
howpublished = {Cryptology {ePrint} Archive, Paper 2010/005},
year = {2010},
url = {https://eprint.iacr.org/2010/005}
}