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 ...

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 ...

I study the speed with which finite Markov chains approach their stationary distribution. Recent work has focused on the analysis of two early birthday attacks on problems related to cryptography: ...

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 ...

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 ...

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 ...