Advances in Elliptic Curve Cryptography

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Ian F. Blake (University of Toronto) Gadiel Seroussi (Hewlett-Packard Laboratories, Palo Alto, California)

Advances in Elliptic Curve Cryptography

Ian F. Blake (University of Toronto), Gadiel Seroussi (Hewlett-Packard Laboratories, Palo Alto, California), Nigel P. Smart (Hewlett-Packard Laboratories, Bristol) , N. J. Hitchin

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English

Cambridge University Press
11 May 2005

Coding theory & cryptology; Applied mathematics; Data encryption

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Ian F. Blake (University of Toronto), Gadiel Seroussi (Hewlett-Packard Laboratories, Palo Alto, California), Nigel P. Smart (Hewlett-Packard Laboratories, Bristol)
Series edited by: N. J. Hitchin
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 317
Dimensions: Height: 229mm, Width: 152mm, Spine: 17mm
Weight: 440g
ISBN: 9780521604154
ISBN 10: 052160415X
Series: London Mathematical Society Lecture Note Series
Pages: 298
Publication Date: 11 May 2005
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.