§16§This book constitutes the thoroughly refereed proceedings of the Second International Conference on Pairing-Based Cryptography, Pairing 2008, held in London, UK, in September 2008. The 20 full papers, presented together with the contributions resulting from 3 invited talks, were carefully reviewed and selected from 50 submissions. The contents are organized in topical sections on cryptography, mathematics, constructing pairing-friendly curves, implementation of pairings, and hardware implementation. §04§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.- Expone §04§ntiation 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.
