Pairing-based cryptography - Pairing 2008

Chapter 2 Pairing Lattices

Chapter 3 The Uber-Assumption Family

Chapter 4 Homomorphic Encryption and Signatures from Vector Decomposition

Chapter 5 Hidden-Vector Encryption with Groups of Prime Order

Chapter 6 The Hidden Root Problem

Chapter 7 Evaluating Large Degree Isogenies and Applications to Pairing Based Cryptography

Chapter 8 Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group

Chapter 9 Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field

Chapter 10 Constructing Pairing-Friendly Elliptic Curves Using Factorization of Cyclotomic Polynomials

Chapter 11 A Generalized Brezing-Weng Algorithm for Constructing Pairing-Friendly Ordinary Abelian Varieties

Chapter 12 Pairing-Friendly Hyperelliptic Curves with Ordinary Jacobians of Type y 2  =  x 5  +  ax

Chapter 13 Integer Variable χ –Based Ate Pairing

Chapter 14 Pairing Computation on Twisted Edwards Form Elliptic Curves

Chapter 15 Exponentiation in Pairing-Friendly Groups Using Homomorphisms

Chapter 16 Generators for the ℓ-Torsion Subgroup of Jacobians of Genus Two Curves

Chapter 17 Speeding Up Pairing Computations on Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms

Chapter 18 Pairings on Hyperelliptic Curves with a Real Model

Chapter 19 Faster Implementation of η T Pairing over GF(3 m ) Using Minimum Number of Logical Instructions for GF(3)-Addition

Chapter 20 A Comparison between Hardware Accelerators for the Modified Tate Pairing over $\mathbb{F}_{2^m}$ and $\mathbb{F}_{3^m}$

Chapter 21 One-Round ID-Based Blind Signature Scheme without ROS Assumption

Chapter 22 Tracing Malicious Proxies in Proxy Re-encryption

Chapter 23 Security and Anonymity of Identity-Based Encryption with Multiple Trusted Authorities