Montgomery Curves and the Montgomery Ladder
Daniel J. Bernstein, Tanja Lange · Cambridge University Press eBooks · 2017
The Montgomery ladder is a remarkably simple method of computing scalar multiples of points on a broad class of elliptic curves.This article surveys a wide range of topics related to the Montgomery ladder, both from the historical perspective of Weierstrass curves and from the modern perspective of Edwards curves.New material includes a full proof of a complete constant-time ladder algorithm suitable for cryptographic applications.