Scott A. Vanstone

Handbook of Applied Cryptography

Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, ...

Handbook of applied cryptography

From the Publisher: A valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography, this book provides easy a...

Computing Logarithms in Finite Fields of Characteristic Two

A simple algorithm to find logarithms in a finite field of characteristic two is described. It uses the Euclidean algorithm for polynomials in attempting to reduce an element to...

New Public-Key Schemes Based on Elliptic Curves over the Ring Zn

Elliptic curve cryptosystems using curves of smooth order over the ring Z/sub n/

We present a new cryptosystem based on elliptic curves over the ring Z/sub n/, where n=pq, in which the message is held in the exponent and not the group element. The security o...

Reducing elliptic curve logarithms to logarithms in a finite field

Elliptic curve cryptosystems have the potential to provide relatively small block size, high-security public key schemes that can be efficiently implemented. As with other known...