Welcome to the resource topic for 2010/309
Title:
Co-Z Addition Formulae and Binary Ladders on Elliptic Curves
Authors: Raveen R. Goundar, Marc Joye, Atsuko Miyaji
Abstract: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.
ePrint: https://eprint.iacr.org/2010/309
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