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 ...

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 ...

New quantum estimates reveal Bitcoin encryption may be more vulnerable soon ...

Traditional encryption methods have long been vulnerable to quantum computers, but two new analyses suggest a capable enough ...

Google's recent research paper has alarmed crypto traders, suggesting quantum computers could crack Bitcoin and Ethereum ...

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: ...