International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Atsuko Miyaji

Affiliation: Osaka University

Publications

Year
Venue
Title
2015
FSE
2014
EPRINT
2010
EPRINT
Co-Z Addition Formulae and Binary Ladders on Elliptic Curves
Meloni recently introduced a new type of arithmetic on elliptic curves when adding projective points sharing the same Z-coordinate. This paper presents further co-Z addition formulae (and register allocations) for various point additions on Weierstrass elliptic curves. It explains how the use of conjugate point addition and other implementation tricks allow one to develop efficient scalar multiplication algorithms making use of co-Z arithmetic. Specifically, this paper describes efficient co-Z based versions of Montgomery ladder and Joye’s double-add algorithm. Further, the resulting implementations are protected against a large variety of implementation attacks.
2010
CHES
2004
CHES
1998
ASIACRYPT
1996
ASIACRYPT
1992
AUSCRYPT
1991
ASIACRYPT

Program Committees

CHES 2019
CHES 2018
Eurocrypt 2008
Eurocrypt 2006
Asiacrypt 2004