International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Olivier Billet

Publications

Year
Venue
Title
2010
FSE
2009
ASIACRYPT
2009
ASIACRYPT
2009
EUROCRYPT
2007
FSE
2003
ASIACRYPT
2002
EPRINT
The Jacobi Model of an Elliptic Curve and Side-Channel Analysis
Olivier Billet Marc Joye
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.

Program Committees