Elliptic Curve Cryptography (ECC) has emerged as a favoured approach in modern cryptography, notably due to its ability to deliver robust security with relatively small key sizes. Extensive hardware ...

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 ...

A chip, hardwired to perform public-key encryption that is said to consume only 1/400 as much power as software execution of the same protocols would, has been built by MIT. The researchers also claim ...

“Elliptic curve cryptography (ECC), as one of the public key cryptography systems, has been widely applied to many security applications. It is challenging to implement a scalar multiplication (SM) ...

In this paper we determine the quadratic points on the modular curves 𝑋₀(𝑁), where the curve is non-hyperelliptic, the genus is 3, 4, or 5, and the Mordell–Weil group of 𝐽₀(𝑁) is finite. The ...

According to one of the world’s leading cryptographers, Bitcoin’s elliptic curve could have a secret backdoor, invalidating all underlying security. A Bitcoin public key is created by applying ...

Abstract. In this paper we construct infinite families of elliptic curves with given torsion group structures over cyclic cubic number fields. 2010 Mathematics Subject Classification. Primary 11G05; ...

Imagine a world where the most widely-used cryptographic methods turn out to be broken: quantum computers allow encrypted Internet data transactions to become readable by anyone who happened to be ...

A public key cryptography method that provides fast decryption and digital signature processing. Elliptic curve cryptography (ECC) uses points on an elliptic curve to derive a 163-bit public key that ...