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CRC Press Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

Name: Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Brand: CRC Press

20 black & white illustrations

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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.

Product Specifications

Brand: CRC Press
Model: 20 black & white illustrations
Format: hardcover
ASIN: 1420071467
Category: Books > Subjects > Computing & Internet > Networking & Security > Security
Domain: Amazon UK
Release Date: 03 April 2008
Listed Since: 10 September 2007

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CRC Press Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

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