Four researchers have recently come out with a model that upends the conventional wisdom in their field. They have used intensive computational data to suggest that for decades, if not longer, ...
Let K be a number field, K̄ an algebraic closure of K, GK the absolute Galois group $Gal(\bar{K}/K)$, $K_{ab}$ the maximal abelian extension of K and E/K an elliptic ...
Editor's note: See the original article on PurpleAlientPlanet. Some of my research is focused on the implementation issues of elliptic curve cryptography on embedded systems. Since I often have to ...
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 ...
PALO ALTO, Calif.--(BUSINESS WIRE)--PsiQuantum announced today in a new publication, a thorough resource count for how large a quantum computer is needed to impact a commonly used cryptosystem – ...
The NSA is moving away from Elliptic Curve Cryptography, and cryptographers aren’t buying their reasoning that advances in post quantum computing put ECC in jeopardy. The National Security Agency has ...
Elliptic Curve Cryptography (ECC) is a public-key cryptographic technology that uses the mathematics of so called “elliptic curves” and it is a part o ...
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results