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 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 ...

Researchers warn that many 1024-bit keys used to secure communications on the internet today might be based on prime numbers that have been intentionally backdoored in an undetectable way. Many public ...

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: ...

In the not-too-distant future—as little as a decade, perhaps, nobody knows exactly how long—the cryptography protecting your bank transactions, chat messages, and medical records from prying eyes is ...

In a world where everything is connected to everything else by the internet, the need to keep secrets has never been so strong. Traditionally, the need for strong encryption was limited. Governments ...

Logarithms and square root are non-elementary operations frequently used in digital signal processing. In this work, implementation and design of an IP-Core to compute square root and multibase ...