Abstract. In this paper we propose a new approach to point scalar multiplication on elliptic curves defined over fields of characteristic greater than 3. It is based on new point...
The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication which is ...
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Abstract— Side channel attacks such as Simple Power Analysis(SPA) attacks provide a new challenge for securing algorithms from an attacker. Algorithms for elliptic curve point sc...
Andrew Byrne, Nicolas Meloni, Arnaud Tisserand, Em...
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...