Paper 2002/153 Original: eprint.iacr.org/2002/153 ↗
Weighted Coordinates on Genus 2 Hyperelliptic Curves
Abstract
This paper is the third in a line considering the arithmetic in the ideal class group of hyperelliptic genus two curves. The previous two papers deal with generalizations of affine and projective coordinates. Now we investigate how one can obtain inversion free formulae that are faster than projective by considering weighted coordinates. To that end we make an extensive case study to deal with different characteristic, equation of the curve, space requirement and situation of appliance.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2003-05-22: last updated
- 2002-10-15: published
- Short URL
- https://ia.cr/2002/153
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2002/153,
author = {Tanja Lange},
title = {Weighted Coordinates on Genus 2 Hyperelliptic Curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/153},
year = {2002},
url = {https://eprint.iacr.org/2002/153}
}