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Author:   Steven Galbraith ,  Kenny Paterson
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2008 ed.
Volume:   5209
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.599kg
ISBN:  

9783540855033

ISBN 10:   3540855033
Pages:   377
Publication Date:   25 August 2008
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Invited Talks.- Pairings in Trusted Computing.- Pairing Lattices.- The Uber-Assumption Family.- Cryptography I.- Homomorphic Encryption and Signatures from Vector Decomposition.- Hidden-Vector Encryption with Groups of Prime Order.- Mathematics.- The Hidden Root Problem.- Evaluating Large Degree Isogenies and Applications to Pairing Based Cryptography.- Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group.- Constructing Pairing Friendly Curves.- Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field.- Constructing Pairing-Friendly Elliptic Curves Using Factorization of Cyclotomic Polynomials.- A Generalized Brezing-Weng Algorithm for Constructing Pairing-Friendly Ordinary Abelian Varieties.- Pairing-Friendly Hyperelliptic Curves with Ordinary Jacobians of Type y 2?=?x 5?+?ax.- Implementation of Pairings.- Integer Variable ?–Based Ate Pairing.- Pairing Computation on Twisted Edwards Form Elliptic Curves.- Exponentiation in Pairing-Friendly Groups Using Homomorphisms.- Generators for the ?-Torsion Subgroup of Jacobians of Genus Two Curves.- Speeding Up Pairing Computations on Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms.- Pairings on Hyperelliptic Curves with a Real Model.- Hardware Implementation.- Faster Implementation of ? T Pairing over GF(3 m ) Using Minimum Number of Logical Instructions for GF(3)-Addition.- A Comparison between Hardware Accelerators for the Modified Tate Pairing over and .- Cryptography II.- One-Round ID-Based Blind Signature Scheme without ROS Assumption.- Tracing Malicious Proxies in Proxy Re-encryption.- Security and Anonymity of Identity-Based Encryption with Multiple Trusted Authorities.

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