Researchers have solved one aspect of the discrete logarithm problem. This is considered to be one of the 'holy grails' of algorithmic number theory, on which the security of many 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 ...

Today, PKC forms the foundation for e-commerce, allowing more than US$1 trillion per day in foreign exchange transactions in North America alone. 10 This technology also allows electronic banking, ...

The asymmetric cryptography on which so much security on the Internet is based relies on one of two mathematical assumptions to work: that it is impossible, other than through brute force, to ...

Cryptography is a subject area of long history, playing a crucial role in human society ever since the dawn of civilization. Claude Shannon's 1945 paper ``A Mathematical Theory of Cryptography'' is ...

When it comes to securing data, it is not too early to start anticipating the future threat of quantum computing. Today’s cryptographic technology based on elliptic curves will not withstand the ...

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 ...

Quantum computing may be taking its time to arrive, but when it does, encryption won't be the same again I’ve been fascinated by quantum computing and quantum cryptography for many years. Quantum ...