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Elliptic Curves in Cryptography

โœ Scribed by Blake, Ian F.; Seroussi, Gadiel; Smart, Nigel P

Publisher
Cambridge University Press
Year
1999
Tongue
English
Leaves
218
Series
London Mathematical Society lecture note series 265
Edition
1
Category
Library
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โœฆ Synopsis

In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind practical implementations of elliptic curve systems. Since the mathematics is advanced, a high barrier to entry exists for individuals and companies new to this technology. Hence, this book will be invaluable not only to mathematicians but also to engineers and computer scientists who want to actually implement such systems

โœฆ Table of Contents

Content: 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.

โœฆ Subjects

Elliptische Kurve;Kryptologie;Curves, Elliptic -- Data processing;Cryptography;Computer security

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