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 ...

Signal’s getting ahead of the quantum curve, adding new layers of encryption to keep your chats safe from tomorrow’s ...

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 ...

This is a preview. Log in through your library . Abstract Computing discrete logarithms in finite fields is a main concern in cryptography. The best algorithms in large and medium characteristic ...

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: ...

Quantum computing is a novel paradigm for computing that was introduced as a concept in the 1980s and has enjoyed a lot of attention in the recent years as the research and development for building ...

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 ...