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Elliptic Curves Number Theory and Cryptography~tqw~ darksiderg
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Elliptic Curves: Number Theory and Cryptography
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Type.................: Ebook
Part Size............: 5,142,264 bytes
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Posted by............: ~tqw~
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Release Notes
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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.
Table Of Contents
1 Introduction 1
2 The Basic Theory 9
3 Torsion Points 77
4 Elliptic Curves over Finite Fields 95
5 The Discrete Logarithm Problem 143
6 Elliptic Curve Cryptography 169
7 Other Applications 189
8 Elliptic Curves over Q 199
9 Elliptic Curves over C 257
10 Complex Multiplication 311
11 Divisors 339
12 Isogenies 381
13 Hyperelliptic Curves 407
14 Zeta Functions 429
15 Fermat’s Last Theorem 445
A Number Theory 471
B Groups 477
C Fields 481
D Computer Packages 489
References 501
Index
Product Details
* ISBN: 1420071467
* ISBN-13: 9781420071467
* Format: Textbook Hardcover, 513pp
* Publisher: CRC Press
* Pub. Date: April 2008
* Edition Description: REV
* Edition Number: 2
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