Guide to Elliptic Curve Cryptography / Edition 1

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After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography, this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. This all-embracing and highly focused reference is a unique and indispensable resource for practitioners, professionals, and researchers in computer science, computer engineering, network design, and network data security.
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Editorial Reviews

From the Publisher

From the reviews:

"It is the first book to give a comprehensive and careful presentation of all the implementation issues involved with ECC. … The book contains chapters on implementing finite field arithmetic … . There is also an extensive chapter on engineering considerations … . is very clearly written and numerous algorithms are presented in a format suitable for easy implementations. The book will be useful for engineers and computer scientists who want to know about the important issues in implementing ECC." (Steven D. Galbraith, Mathematical Reviews, 2005)

"This book is entirely dedicated to elliptic curve cryptography. It starts – after a short overview – with finite field arithmetic … . The book is a guide for security professionals and developers … . It is very carefully written and may serve as a reference book for mathematicians as well." (J. Schoissengeier, Monatshefte für Mathematik, Vol. 144 (1), 2005)

"This is a very useful handbook for anybody who is or must be interested in practical elliptic curve cryptography and its applications. … is presented in a rather non-theoretical way and at a beginner to intermediate level. On the other hand, researchers should find the book useful because of the extensive survey of the related literature (each chapter ends with notes and further references, the bibliography containing almost 500 items)." (EMS Newsletter, September, 2005)

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Product Details

  • ISBN-13: 9780387952734
  • Publisher: Springer New York
  • Publication date: 1/8/2004
  • Series: Springer Professional Computing Series
  • Edition description: 2004
  • Edition number: 1
  • Pages: 312
  • Product dimensions: 7.10 (w) x 10.10 (h) x 1.00 (d)

Table of Contents

List of Algorithms
List of Tables
List of Figures
1 Introduction and Overview 1
2 Finite Field Arithmetic 25
3 Elliptic Curve Arithmetic 75
4 Cryptographic Protocols 153
5 Implementation Issues 205
A Sample Parameters 257
B ECC Standards 267
C Software Tools 271
Bibliography 277
Index 305
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