Recently, Eisentr?ager et al. proposed a very elegant method for speeding up scalar multiplication on elliptic curves. Their method relies on improved formulas for evaluating S = (...
Mathieu Ciet, Marc Joye, Kristin Lauter, Peter L. ...
—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
Abstract. It has been recently acknowledged [4, 6, 9] that the use of double bases representations of scalars n, that is an expression of the form n = e,s,t(-1)e As Bt can speed up...
Roberto Maria Avanzi, Vassil S. Dimitrov, Christop...
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
We present a new type of fault attacks on elliptic curve scalar multiplications: Sign Change Attacks. These attacks exploit different number representations as they are often emplo...