In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
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...
Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...
We present some new classes of numbers that are easier to test for primality with the Elliptic Curve Primality Proving algorithm than average numbers. It is shown that this is the...
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...