### The Jacobi Model of an Elliptic Curve and Side-Channel Analysis

Olivier Billet and Marc Joye

##### Abstract

A way for preventing SPA-like attacks on elliptic curve systems is to use the same formula for the doubling and the general addition of points on the curve. Various proposals have been made in this direction with different results. This paper re-investigates the Jacobi form suggested by Liardet and Smart (CHES 2001). Rather than considering the Jacobi form as the intersection of two quadrics, the addition law is directly derived from the underlying quartic. As a result, this leads to substantial memory savings and produces the fastest unified addition formula for curves of order a multiple of 2.

Available format(s)
Category
Implementation
Publication info
Published elsewhere. Unknown where it was published
Keywords
Elliptic curve cryptosystemsside-channel analysis
Contact author(s)
marc joye @ gemplus com
History
Short URL
https://ia.cr/2002/125

CC BY

BibTeX

@misc{cryptoeprint:2002/125,
author = {Olivier Billet and Marc Joye},
title = {The Jacobi Model of an Elliptic Curve and Side-Channel Analysis},
howpublished = {Cryptology ePrint Archive, Paper 2002/125},
year = {2002},
note = {\url{https://eprint.iacr.org/2002/125}},
url = {https://eprint.iacr.org/2002/125}
}

Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.