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...
—Single and double scalar multiplications are the most computational intensive operations in elliptic curve based cryptosystems. Improving the performance of these operations is ...
Jithra Adikari, Vassil S. Dimitrov, Laurent Imbert
The most important and expensive operation in a hyperelliptic curve cryptosystem (HECC) is scalar multiplication by an integer k, i.e., computing an integer k times a divisor D on ...
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 ...
In the current work we propose a pipelining scheme for implementing Elliptic Curve Cryptosystems (ECC). The scalar multiplication is the dominant operation in ECC. It is computed b...