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 ...

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 ...

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 ...

Alexander Smith’s work on the Goldfeld conjecture reveals fundamental characteristics of elliptic curves. Elliptic curves seem to admit infinite variety, but they really only come in two flavors. That ...

The NSA is moving away from Elliptic Curve Cryptography, and cryptographers aren’t buying their reasoning that advances in post quantum computing put ECC in jeopardy. The National Security Agency has ...

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 ...

Soit A une courbe elliptique sur Q de conducteur N sans facteurs carré, ayant un point rationnel d’ordre un nombre premier r ne divisant pas 6N. On montre alors que r divise l’ordre du sous-groupe ...

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 ...

[Daljeet Nandha] from [RoboCoffee] writes to us, sharing his research on cryptographic signature-based firmware authenticity checks recently added to the Xiaomi Mi scooter firmware. Those scooters use ...