Elliptic curve cryptography (ECC) has emerged as a cornerstone of modern public‐key systems, offering high levels of security with relatively small key sizes. Central to many advanced cryptographic ...

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 ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

Mathematicians have opened a new chapter in the theory of moonshine, one which begins to harness the power of the pariahs -- sporadic simple groups that previously had no known application.

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 ...

This is a preview. Log in through your library . Abstract We study the splitting properties of the Verlinde bundles over elliptic curves. Our methods rely on the explicit description of the moduli ...

A type of Diffie-Helman cryptography algorithm that uses elliptic curve cryptography. See Diffie-Hellman and elliptic curve cryptography. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other ...

At a prime of ordinary reduction, the Iwasawa "main conjecture" for elliptic curves relates a Selmer group to a p-adic L-function. In the supersingular case, the statement of the main conjecture is ...

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 ...