i& Page 1 i& Designs, Codes and Cryptography, 19, 101-128 (2000) •"'Il © 2000 Kluwer
Academic Publishers, Boston. Integer Factoring ARJEN K. LENSTRA arjen.lenstra@citicorp.com …

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, but …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

Difference equations usually describe the evolution of certain phenomena over the course of
time. For example, if a certain population has discrete generations, the size of the (n+ 1) st …

Public key cryptography is a major interdisciplinary subject with many real-world
applications, such as digital signatures. A strong background in the mathematics underlying …

An Introduction to Cryptography | SpringerLink Skip to main content Advertisement SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart Book cover An …

In this volume we have endeavored to provide a middle ground-hopefully even a bridge-
between" theory" and" experiment" in the matter of prime numbers. Of course, we speak of …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

This text originated as a lecture delivered November 20, 1984, at Queen's University, in the
undergraduate colloquium senes. In another colloquium lecture, my colleague Morris …

This introductory book emphasizes algorithms and applications, such as cryptography and
error correcting codes, and is accessible to a broad audience. The presentation alternates …