Advances in Elliptic Curve Crytography

Ian F. Blake, Gadiel Seroussi, Nigel Smart - Collection London Mathematical Society Student Texts

282 pages, parution le 13/04/2005

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Résumé

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.

L'auteur - Nigel Smart

He lectures in Cryptography and Information Security at Bristol University. He is also involved in cryptographic research with a number of world-leading computer companies.

Sommaire

Preface
Abbreviations and Standard Notation
Authors
Protocols
- Elliptic curve base protocols
- On the provable security of ECDSA
- Proofs of security for ECIES
Implementation Techniques
- Side channel analysis E. Oswald
- Defenses against side-channel analysis
Mathematical Foundations
- Advances in point counting
- Hyperelliptic curves and the HCDLP
- Weil descent attacks
Pairing Based Techniques
- Pairings S. Galbraith
- Cryptography from pairings
Bibliography
Author Index
Subject Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Ian F. Blake, Gadiel Seroussi, Nigel Smart
Collection	London Mathematical Society Student Texts
Parution	13/04/2005
Nb. de pages	282
Format	15 x 22,5
Couverture	Broché
Poids	423g
Intérieur	Noir et Blanc
EAN13	9780521604154
ISBN13	978-0-521-60415-4