Advances in Elliptic Curve Cryptography

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Advances in Elliptic Curve Cryptography

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Posted by............: ~tqw~ (www.darkside.com)



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Advances in Elliptic Curve Cryptography

Series: London Mathematical Society Lecture Note Series (No. 317)

Edited by Ian F. Blake

University of Toronto

Gadiel Seroussi

Hewlett-Packard Laboratories, Palo Alto, California

Nigel P. Smart

University of Bristol

ISBN-13:780521604154



* Also available in eBook format

* Published April 2005



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.



? It 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

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.

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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