Lawrence C Washington

Elliptic Curves

Number Theory and Cryptography, Second Edition

• Gebundenes Buch

Produktbeschreibung

Like its bestselling predecessor, this book develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. This edition now includes alternative coordinate systems and related computational issues, a more elementary treatment of the Tate???Lichtenbaum pairing, additional elliptic curve cryptosystems, and Doud??'s analytic method for computing torsion on elliptic curves over Q. It also contains new chapters on isogenies and hyperelliptic curves as well as discusses how to compute elliptic curves in some popular computer algebra systems. Basic exercises appear at the end of each chapter, with selected answers in an appendix.

Produktdetails

• Verlag: CRC Press
• 2nd edition
• Seitenzahl: 532
• Erscheinungstermin: 1. April 2008
• Englisch
• Abmessung: 241mm x 165mm x 32mm
• Gewicht: 857g
• ISBN-13: 9781420071467
• ISBN-10: 1420071467
• Artikelnr.: 23096900

Autorenporträt

Lawrence C. Washington

Inhaltsangabe

Introduction. The Basic Theory. Torsion Points. Elliptic Curves over Finite
Fields. The Discrete Logarithm Problem. Elliptic Curve Cryptography. Other
Applications. Elliptic Curves over Q. Elliptic Curves over C. Complex
Multiplication. Divisors. Isogenies. Hyperelliptic Curves. Zeta Functions.
Fermat's Last Theorem. Appendices. References. Index.