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 ...

Hidden inside a simple color-mixing analogy is one of the most elegant ideas in cryptography, a mathematical trap door that ...

Traditional encryption methods have long been vulnerable to quantum computers, but two new analyses suggest a capable enough machine may be built much sooner than previously thought ...

Researchers have devised a way to place undetectable backdoors in the cryptographic keys that protect websites, virtual private networks, and Internet servers. The feat allows hackers to passively ...

Researcher breaks ECC key using quantum hardware, raising concerns about Bitcoin security and urging faster shift to post-quantum protection systems.

Researchers have reached a new milestone in the annals of cryptography with the factoring of the largest RSA key size ever computed and a matching computation of the largest-ever integer discrete ...

Project Eleven awards 1 BTC after a record quantum ECC break raises new security concerns for 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: ...