International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Raveen R. Goundar

Publications

Year
Venue
Title
2010
EPRINT
Co-Z Addition Formulae and Binary Ladders on Elliptic Curves
Raveen R. Goundar Marc Joye Atsuko Miyaji
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

Coauthors

Marc Joye (2)
Atsuko Miyaji (2)