Buch, Englisch, 532 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1140 g
Number Theory and Cryptography, Second Edition
Buch, Englisch, 532 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1140 g
Reihe: Discrete Mathematics and Its Applications
ISBN: 978-1-4200-7146-7
Verlag: Chapman and Hall/CRC
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves.
New to the Second Edition - Chapters on isogenies and hyperelliptic curves
- A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues
- A more complete treatment of the Weil and Tate–Lichtenbaum pairings
- Doud’s analytic method for computing torsion on elliptic curves over Q
- An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems
Taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat’s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.
Zielgruppe
Professional
Autoren/Hrsg.
Weitere Infos & Material
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.
