Welcome to the resource topic for 2002/125
Title:
The Jacobi Model of an Elliptic Curve and Side-Channel Analysis
Authors: Olivier Billet, 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.
ePrint: https://eprint.iacr.org/2002/125
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