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Guide to
Elliptic Curve Cryptography
Darrel Hankerson,
Alfred Menezes,
and Scott Vanstone
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Back cover propaganda
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.
Features
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Breadth of coverage and unified, integrated approach to elliptic
curve cryptosystems
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Describes important industry and government protocols,
such as the FIPS 186-2 standard from the U.S. National Institute for
Standards and Technology
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Provides full exposition on techniques for efficiently implementing
finite-field and elliptic curve arithmetic
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Distills complex mathematics and algorithms for easy understanding
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Includes useful literature references, a list of algorithms, and
appendices on sample parameters, ECC standards, and software tools
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
Darrel Hankerson is a professor of mathematics at Auburn
University, an industry consultant, and co-author of books on
cryptography and data compression
Alfred Menezes is a professor of mathematics at the University
of Waterloo, an industry consultant, and co-author of several books on
cryptography
Scott Vanstone is holder of the NSERC/Pitney Bowes Industrial
Chair in Cryptography at the University of Waterloo, co-author of
an applied cryptography handbook with A. Menezes and P. van Oorschot,
and founder of Certicom Corp. (Canada), a leading ECC company.
Key topics
- Finite field and elliptic curve arithmetic
- Public-key cryptography
- Cryptographic protocols
- Side-channel attacks and countermeasures
- Domain parameters
- ECC standards
Audience
- Cryptography / Security
- Beginning / Intermediate Level
Springer-Verlag Professional Computing Series,
ISBN: 0-387-95273-X, 2004.
Guide to Elliptic Curve Cryptography /
g2ecc@dms.auburn.edu /
May 2004/
Illustration by Helen D'Souza