Elliptic Curves in Cryptography

This book explains the mathematics behind practical implementations of elliptic curve systems.

Klappentext
This book explains the mathematics behind practical implementations of elliptic curve systems.


Zusammenfassung
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. It will be invaluable to mathematicians wanting to see how pure mathematics can be applied, and also engineers and computer scientists wishing to implement such systems.

Inhalt
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.

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