Paper 2010/498
Co-Z Divisor Addition Formulae in Jacobian of Genus 2 Hyperelliptic Curves over Prime Fields
Vladislav Kovtun and Sergey Kavun
Abstract
In this paper we proposed a new approach to divisor scalar multiplication in Jacobian of genus 2 hyperelliptic curves over fields with odd characteristic, without field inversion. It is based on improved addition formulae of the weight 2 divisors in projective divisor representation in most frequent case that suit very well to scalar multiplication algorithms based on Euclidean addition chains.
Note: In previouse revised and uploaded paper used incorrect name appendix (extended).
Metadata
- Available format(s)
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- hyperelliptic curvedivisorJacobianaddition formulaeexponentiationprojective representation
- Contact author(s)
- vladislav kovtun @ gmail com
- History
- 2012-04-18: last of 3 revisions
- 2010-09-29: received
- See all versions
- Short URL
- https://ia.cr/2010/498
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2010/498, author = {Vladislav Kovtun and Sergey Kavun}, title = {Co-Z Divisor Addition Formulae in Jacobian of Genus 2 Hyperelliptic Curves over Prime Fields}, howpublished = {Cryptology {ePrint} Archive, Paper 2010/498}, year = {2010}, url = {https://eprint.iacr.org/2010/498} }