Improving scalar multiplication over elliptic curves
Siham Ezzouak, Abdelmalek Azizi · AIP conference proceedings · 2019
The elliptic curves scalar multiplication has been paid much attention in the recent years, and one of major interests in this field is to improve algorithm for elliptic curve cryptosystem. In this paper, we give detailed study of the efficiency issues in scalar multiplication on the elliptic curves. In particular, we present the cost of group operation in several coordinate system and bases representation. Moreover, we show that more optimization can be achieved when better combination of coordinate choise and bases representation are performed.