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Identity based cryptography from pairings.

Yuen Tsz Hon. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 109-122). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iii / List of Notations --- p.viii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Identity Based Cryptography --- p.3 / Chapter 1.2 --- Hierarchical Identity Based Cryptosystem --- p.4 / Chapter 1.3 --- Our contributions --- p.5 / Chapter 1.4 --- Publications --- p.5 / Chapter 1.4.1 --- Publications Produced from This Thesis --- p.5 / Chapter 1.4.2 --- Publications During Author's Study in the Degree --- p.6 / Chapter 1.5 --- Thesis Organization --- p.6 / Chapter 2 --- Background --- p.8 / Chapter 2.1 --- Complexity Theory --- p.8 / Chapter 2.1.1 --- Order Notation --- p.8 / Chapter 2.1.2 --- Algorithms and Protocols --- p.9 / Chapter 2.1.3 --- Relations and Languages --- p.11 / Chapter 2.2 --- Algebra and Number Theory --- p.12 / Chapter 2.2.1 --- Groups --- p.12 / Chapter 2.2.2 --- Elliptic Curve --- p.13 / Chapter 2.2.3 --- Pairings --- p.14 / Chapter 2.3 --- Intractability Assumptions --- p.15 / Chapter 2.4 --- Cryptographic Primitives --- p.18 / Chapter 2.4.1 --- Public Key Encryption --- p.18 / Chapter 2.4.2 --- Digital Signature --- p.19 / Chapter 2.4.3 --- Zero Knowledge --- p.21 / Chapter 2.5 --- Hash Functions --- p.23 / Chapter 2.6 --- Random Oracle Model --- p.24 / Chapter 3 --- Literature Review --- p.26 / Chapter 3.1 --- Identity Based Signatures --- p.26 / Chapter 3.2 --- Identity Based Encryption --- p.27 / Chapter 3.3 --- Identity Based Signcryption --- p.27 / Chapter 3.4 --- Identity Based Blind Signatures --- p.28 / Chapter 3.5 --- Identity Based Group Signatures --- p.28 / Chapter 3.6 --- Hierarchical Identity Based Cryptography --- p.29 / Chapter 4 --- Blind Identity Based Signcryption --- p.30 / Chapter 4.1 --- Schnorr's ROS problem --- p.31 / Chapter 4.2 --- BIBSC and Enhanced IBSC Security Model --- p.32 / Chapter 4.2.1 --- Enhanced IBSC Security Model --- p.33 / Chapter 4.2.2 --- BIBSC Security Model --- p.36 / Chapter 4.3 --- Efficient and Secure BIBSC and IBSC Schemes --- p.38 / Chapter 4.3.1 --- Efficient and Secure IBSC Scheme --- p.38 / Chapter 4.3.2 --- The First BIBSC Scheme --- p.43 / Chapter 4.4 --- Generic Group and Pairing Model --- p.47 / Chapter 4.5 --- Comparisons --- p.52 / Chapter 4.5.1 --- Comment for IND-B --- p.52 / Chapter 4.5.2 --- Comment for IND-C --- p.54 / Chapter 4.5.3 --- Comment for EU --- p.55 / Chapter 4.6 --- Additional Functionality of Our Scheme --- p.56 / Chapter 4.6.1 --- TA Compatibility --- p.56 / Chapter 4.6.2 --- Forward Secrecy --- p.57 / Chapter 4.7 --- Chapter Conclusion --- p.57 / Chapter 5 --- Identity Based Group Signatures --- p.59 / Chapter 5.1 --- New Intractability Assumption --- p.61 / Chapter 5.2 --- Security Model --- p.62 / Chapter 5.2.1 --- Syntax --- p.63 / Chapter 5.2.2 --- Security Notions --- p.64 / Chapter 5.3 --- Constructions --- p.68 / Chapter 5.3.1 --- Generic Construction --- p.68 / Chapter 5.3.2 --- An Instantiation: IBGS-SDH --- p.69 / Chapter 5.4 --- Security Theorems --- p.73 / Chapter 5.5 --- Discussions --- p.81 / Chapter 5.5.1 --- Other Instantiations --- p.81 / Chapter 5.5.2 --- Short Ring Signatures --- p.82 / Chapter 5.6 --- Chapter Conclusion --- p.82 / Chapter 6 --- Hierarchical IBS without Random Oracles --- p.83 / Chapter 6.1 --- New Intractability Assumption --- p.87 / Chapter 6.2 --- Security Model: HIBS and HIBSC --- p.89 / Chapter 6.2.1 --- HIBS Security Model --- p.89 / Chapter 6.2.2 --- Hierarchical Identity Based Signcryption (HIBSC) --- p.92 / Chapter 6.3 --- Efficient Instantiation of HIBS --- p.95 / Chapter 6.3.1 --- Security Analysis --- p.96 / Chapter 6.3.2 --- Ordinary Signature from HIBS --- p.101 / Chapter 6.4 --- Plausibility Arguments for the Intractability of the OrcYW Assumption --- p.102 / Chapter 6.5 --- Efficient HIBSC without Random Oracles --- p.103 / Chapter 6.5.1 --- Generic Composition from HIBE and HIBS --- p.104 / Chapter 6.5.2 --- Concrete Instantiation --- p.105 / Chapter 6.6 --- Chapter Conclusion --- p.107 / Chapter 7 --- Conclusion --- p.108 / Bibliography --- p.109

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325569
Date January 2006
ContributorsYuen, Tsz Hon., Chinese University of Hong Kong Graduate School. Division of Information Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, viii, 122 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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