Elliptic Curves in Cryptography

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. Inhaltsverzeichnis 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.

Détails du produit

• Auteurs: I. Blake, I. (Hewlett-Packard Laboratories Blake, Ian F. Blake, Et Al, G. Seroussi, G. (Hewlett-Packard Laboratories Seroussi, Gadiel Seroussi, Gadiel (Hewlett-Packard Laboratories Seroussi, N. Smart, N. (Hewlett-Packard Laboratories Smart
• Edition: Cambridge University Press Academic
• Langues: Anglais
• Format d'édition: Livre Broché
• Sortie: 08.07.1999
• EAN: 9780521653749
• ISBN: 978-0-521-65374-9
• Dimensions: 152 mm x 229 mm x 14 mm
• Thèmes: London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Autres