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Advances in Elliptic Curve Cryptography

£60.99

Part of London Mathematical Society Lecture Note Series

N. P. Smart, D. Brown, A. W. Dent, E. Oswald, M. Joye, F. Vercauteren, P. Gaudry, F. Hess, S. Galbraith, K. G. Paterson
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  • Date Published: April 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521604154

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About the Authors
  • Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.

    • Provides an up-to-date treatment of critical topics in cryptography
    • The chapters are written by the leading international experts in each area
    • The topics are made accessible for the first time outside of research journals
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    Product details

    • Date Published: April 2005
    • format: Paperback
    • isbn: 9780521604154
    • length: 298 pages
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.44kg
    • contains: 7 b/w illus. 11 tables
    • availability: Available
  • Table of Contents

    Part I. Protocols:
    1. Elliptic curve base protocols N. P. Smart
    2. On the provable security of ECDSA D. Brown
    3. Proofs of security for ECIES A. W. Dent
    Part II. Implementation Techniques:
    4. Side channel analysis E. Oswald
    5. Defenses against side-channel analysis M. Joye
    Part III. Mathematical Foundations:
    6. Advances in point counting F. Vercauteren
    7. Hyperelliptic curves and the HCDLP P. Guadry
    8. Weil descent attacks F. Hess
    Part IV. Pairing Based Techniques:
    9. Pairings S. Galbraith
    10. Cryptography from pairings K. G. Paterson.

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    Advances in Elliptic Curve Cryptography

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  • Editors

    Ian F. Blake, University of British Columbia, Vancouver

    Gadiel Seroussi, Hewlett-Packard Laboratories, Palo Alto, California

    Nigel P. Smart, University of Bristol

    Contributors

    N. P. Smart, D. Brown, A. W. Dent, E. Oswald, M. Joye, F. Vercauteren, P. Gaudry, F. Hess, S. Galbraith, K. G. Paterson

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