In general, an elliptic curve takes the form of y^2 = x^3 + ax + b. An example of this plotted over real numbers on cartesian x-y coordinates is shown Point ‘addition’ (or operation) on this curve is ...

This repository contains a search algorithm to generate curves over sextic extensions of prime fields. It considers both regular attacks on generic elliptic curve constructions (Pollard-Rho attack, ...

Abstract: It is the first time to combine Chebyshev Polynomial with Elliptic Curve. In this paper it construct a Elliptic Curve Cryptosystem Algorithm based on Chebyshev Polynomial. This paper use the ...

Abstract: The SEA algorithm is used widely in computing the order of elliptic curve,and the computation of isogenies between elliptic curves plays an important part in the algorithm. We surveyed ...

Editor's note: See the original article on PurpleAlientPlanet. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems. Since I often have to ...

We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) model by constructing a quantum field theory model of anyons on a circle and at a finite temperature. This yields a remarkable ...

We all know the usual jokes about the ‘S’ in ‘IoT’ standing for ‘Security’. It’s hardly a secret that security in embedded, networked devices (‘IoT devices’) is all too often a last-minute task that ...

Manufacturers of nearly all equipment types need to protect their products against the counterfeit components that aftermarket companies will attempt to introduce into the OEM supply chain. Secure ...