Hidden inside a simple color-mixing analogy is one of the most elegant ideas in cryptography, a mathematical trap door that lets two strangers build a shared secret in plain sight. This is the story ...

Diffie-Hellman’s key-exchange method runs this kind of exponentiation protocol, with all the operations conducted in this way ...

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 ...

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 ...

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: ...