This chapter excerpted from Hardware Implementation of Finite-Field Arithmetic, gives an example of finite-field application—namely, the implementation of the scalar product (point multiplication) ...

Encryption is a key technology for federal agencies. Although encryption is the primary goal, many encryption systems depend on a combination of tools to accomplish other tasks. Public-key ...

A special-purpose chip hardwired to implement elliptic-curve cryptography in general and the datagram transport layer security protocol in particular reduces power consumption by 99.75 percent and ...

Elliptic curves are among the more beguiling objects in modern mathematics. They don’t seem complicated, but they form an expressway between the math that many people learn in high school and research ...

CAMBRDIGE, MASS. -- Most sensitive web transactions are protected by public-key cryptography, a type of encryption that lets computers share information securely without first agreeing on a secret ...

In August, a pair of mathematicians discovered an exotic, record-breaking curve. In doing so, they tapped into a major open question about one of the oldest and most fundamental kinds of equations in ...