Abstract. Tabulating elliptic curves has been carried out since the earliest days of machine computation in number theory. After some historical remarks, we report on significant r...
In this paper, we propose a new asymmetric cryptographic algorithm (HOOD CRYPT) based on the Elliptical Curve Cryptographic approach. The algorithm describes how an orthogonal fre...
Robert Steven Owor, Khalil Dajani, Zephyrinus Okon...
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
For the last decade, Elliptic Curve Cryptography (ECC) has gained increasing acceptance in the industry and the academic community and has been the subject of several standards. T...
Guerric Meurice de Dormale, Jean-Jacques Quisquate...
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...