Abstract. In this article we introduce redundant trinomials to represent elements of finite fields of characteristic 2. This paper develops applications to cryptography, especial...
The recent developments of side channel attacks have lead implementers to use more and more sophisticated countermeasures in critical operations such as modular exponentiation, or ...
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...
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 ...
Abstract. The Joint Sparse Form is currently the standard representation system to perform multi-scalar multiplications of the form [n]P + m[Q]. We introduce the concept of Joint D...