Lawrence C. Washington

Elliptic Curves (eBook, PDF)

Number Theory and Cryptography, Second Edition

• Format: PDF

Produktbeschreibung

Like its bestselling predecessor, this second edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. It now includes new chapters on isogenies and hyperelliptic curves, a more complete treatment of the Tate-Lichtenbaum pairing, alternative coordinate systems and related computational issues, and Doud's analytic method for computing torsion on elliptic curves over Q. This edition also discusses how to perform computations with elliptic curves in several popular computer algebra systems. Basic exercises appear at the end of each chapter.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 536
• Erscheinungstermin: 3. April 2008
• Englisch
• ISBN-13: 9781420071474
• Artikelnr.: 53186478

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.