Elliptic Curves in Cryptography
Elliptic Curves in Cryptography
G. Seroussi, Hewlett-Packard Laboratories, Palo Alto, California
N. Smart, Hewlett-Packard Laboratories, Bristol
$91.99
USDIn the past few years elliptic curve cryptography has moved from a fringe activity to a major challenger to the dominant RSA/DSA systems. Elliptic curves offer major advances on older systems such as increased speed, less memory and smaller key sizes. As digital signatures become more and more important in the commercial world the use of elliptic curve-based signatures will become all pervasive. This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.
- Indispensable for researchers in this area
- Authors are top names
- Covers state of the art results
Reviews & endorsements
"This book gives a good introduction to the mathematics behind the design of elliptic-curve cryptosystems and their implementation...this work is an important addition to the literature." Computing Reviews
"This lovely book [Elliptic Curves in Cryptography] has a thorough coverage of bit-counting issues, something that matters greatly when you are thinking of implementing ECC. The text covers valuable background research...[it] is clearly written and brings the reader up to date on current research. It is a gem." Bulletin of the American Mathematical Society
Product details
August 1999Paperback
9780521653749
224 pages
229 × 153 × 15 mm
0.326kg
Available
Table of Contents
- Preface
- 1. Introduction
- 2. Finite field arithmetic
- 3. Arithmetic on an elliptic curve
- 4. Efficient implementation of elliptic curves
- 5. The elliptic curve discrete logarithm problem
- 6. Determining the group order
- 7. Schoof's algorithm and extensions
- 8. Generating curves using complex multiplication
- 9. Other applications of elliptic curves
- 10. Hyperelliptic curves
- Appendix A. Curve examples
- Bibliography
- Author index
- Subject index.
