We describe an algorithm for constructing plane models of the modular curve X₁(N) and discuss the resulting equations when N ≤ 51. Journal Information This journal, begun in 1943 as Mathematical ...

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 mathematicians who toiled on the famous enigma also devised powerful forms of end-to-end encryption. By William J. Broad Defenses against digital snoopers keep getting stronger. Encryption is what ...

Elliptic Curve Cryptography (ECC) has emerged as a favoured approach in modern cryptography, notably due to its ability to deliver robust security with relatively small key sizes. Extensive hardware ...

We all know the usual jokes about the ‘S’ in ‘IoT’ standing for ‘Security’. It’s hardly a secret that security in embedded, networked devices (‘IoT devices’) is all too often a last-minute task that ...

“Elliptic curve cryptography (ECC), as one of the public key cryptography systems, has been widely applied to many security applications. It is challenging to implement a scalar multiplication (SM) ...

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 – ...

Let f be a newform, as specified by its Hecke eigenvalues, on a Shimura curve X. We describe a method for evaluating f. The most interesting case is when X arises as a compact quotient of the ...