Paper 2002/147 Original: eprint.iacr.org/2002/147 ↗
Inversion-Free Arithmetic on Genus 2 Hyperelliptic Curves
Abstract
We investigate formulae to double and add in the ideal class group of a hyperelliptic genus 2 curve avoiding inversions. To that aim we introduce a further coordinate in the representation of a class in which we collect the common denominator of the usual 4 coordinates. The analysis shows that this is practical and advantageous whenever inversions are expensive compared to multiplications like for example on smart cards.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2003-05-22: last updated
- 2002-09-27: published
- Short URL
- https://ia.cr/2002/147
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2002/147,
author = {Tanja Lange},
title = {Inversion-Free Arithmetic on Genus 2 Hyperelliptic Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/147},
year = {2002},
url = {https://eprint.iacr.org/2002/147}
}