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Elliptic Curves in Cryptography

Elliptic Curves in Cryptography


Part of London Mathematical Society Lecture Note Series

  • Authors:
  • I. Blake, University of British Columbia, Vancouver
  • G. Seroussi, Hewlett-Packard Laboratories, Palo Alto, California
  • N. Smart, University of Bristol
  • Date Published: August 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521653749
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About the Authors
  • In the past few years elliptic curve cryptography has moved from a fringe activity to a major system in the commercial world. This timely work summarizes knowledge gathered at Hewlett-Packard over a number of years and explains the mathematics behind practical implementations of elliptic curve systems. Since the mathematics is advanced, a high barrier to entry exists for individuals and companies new to this technology. Hence, this book will be invaluable not only to mathematicians but also to engineers and computer scientists who want to actually implement such systems.

    • Indispensable for researchers in this area
    • Authors are top names
    • Covers state of the art results
    Read more

    Reviews & endorsements

    "This book gives a good introduction to the mathematics behind the design of elliptic-curve cryptosystems and their implementation...this work is an important addition to the literature." Computing Reviews

    "This lovely book [Elliptic Curves in Cryptography] has a thorough coverage of bit-counting issues, something that matters greatly when you are thinking of implementing ECC. The text covers valuable background research...[it] is clearly written and brings the reader up to date on current research. It is a gem." Bulletin of the American Mathematical Society

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    Customer reviews

    16th May 2014 by Bhanu

    Elliptic Curve has become a defacto for crypto world and I think this book is ideal for anyone seeking complete info about it.

    Review was not posted due to profanity


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    Product details

    • Date Published: August 1999
    • format: Paperback
    • isbn: 9780521653749
    • length: 224 pages
    • dimensions: 229 x 152 x 13 mm
    • weight: 0.34kg
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Finite field arithmetic
    3. Arithmetic on an elliptic curve
    4. Efficient implementation of elliptic curves
    5. The elliptic curve discrete logarithm problem
    6. Determining the group order
    7. Schoof's algorithm and extensions
    8. Generating curves using complex multiplication
    9. Other applications of elliptic curves
    10. Hyperelliptic curves
    Appendix A. Curve examples
    Author index
    Subject index.

  • general resources

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    General ResourcesErrata (3rd printing)linkn/aSort Order general resources general resources general resources general resources
    General ResourcesErrata (1st and 2nd printings)linkn/aSort Order general resources general resources general resources general resources

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • Authors

    I. Blake, University of British Columbia, Vancouver

    G. Seroussi, Hewlett-Packard Laboratories, Palo Alto, California

    N. Smart, University of Bristol

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