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Two results on spontaneous anonymous group signatures.

Chan Kwok Leong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 72-78). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Preliminaries --- p.4 / Chapter 2.1 --- Notation --- p.4 / Chapter 2.2 --- Cryptographic Primitives --- p.5 / Chapter 2.2.1 --- Symmetric Key Cryptography --- p.5 / Chapter 2.2.2 --- Asymmetric Key Cryptosystem --- p.6 / Chapter 2.2.3 --- Secure Hash Function --- p.7 / Chapter 2.2.4 --- Digital Signature --- p.8 / Chapter 2.2.5 --- Digital Certificate and Public Key Infrastructure --- p.8 / Chapter 2.3 --- Provable Security and Security Model --- p.9 / Chapter 2.3.1 --- Mathematics Background --- p.9 / Chapter 2.3.2 --- One-Way Function --- p.10 / Chapter 2.3.3 --- Candidate One-way Functions --- p.12 / Chapter 2.4 --- Proof Systems --- p.15 / Chapter 2.4.1 --- Zero-knowledge Protocol --- p.15 / Chapter 2.4.2 --- Proof-of-Knowledge Protocol --- p.17 / Chapter 2.4.3 --- Honest-Verifier Zero-Knowledge (HVZK) Proof of Knowl- edge Protocols (PoKs) --- p.18 / Chapter 2.5 --- Security Model --- p.19 / Chapter 2.5.1 --- Random Oracle Model --- p.19 / Chapter 2.5.2 --- Generic group model (GGM) --- p.20 / Chapter 3 --- Signature Scheme --- p.21 / Chapter 3.1 --- Introduction --- p.21 / Chapter 3.2 --- Security Notation for Digital Signature --- p.23 / Chapter 3.3 --- Security Proof for Digital Signature --- p.24 / Chapter 3.3.1 --- Random Oracle Model for Signature Scheme --- p.24 / Chapter 3.3.2 --- Adaptive Chosen Message Attack --- p.24 / Chapter 3.4 --- Schnorr Identification and Schnorr Signature --- p.25 / Chapter 3.4.1 --- Schnorr's ROS assumption --- p.26 / Chapter 3.5 --- Blind Signature --- p.27 / Chapter 4 --- Spontaneous Anonymous Group (SAG) Signature --- p.30 / Chapter 4.1 --- Introduction --- p.30 / Chapter 4.2 --- Background --- p.30 / Chapter 4.2.1 --- Group Signature --- p.30 / Chapter 4.2.2 --- Threshold Signature --- p.31 / Chapter 4.3 --- SAG signatures --- p.33 / Chapter 4.4 --- Formal Definitions and Constructions --- p.35 / Chapter 4.4.1 --- Ring-type construction --- p.36 / Chapter 4.4.2 --- CDS-type construction --- p.36 / Chapter 4.5 --- Discussion --- p.37 / Chapter 5 --- Blind Spontaneous Anonymous Signature --- p.39 / Chapter 5.1 --- Introduction --- p.39 / Chapter 5.2 --- Definition --- p.40 / Chapter 5.2.1 --- Security Model --- p.41 / Chapter 5.2.2 --- Definitions of security notions --- p.41 / Chapter 5.3 --- Constructing blind SAG signatures --- p.43 / Chapter 5.3.1 --- Blind SAG signature: CDS-type [1] --- p.43 / Chapter 5.3.2 --- "Blind SAG signature: ring-type [2, 3]" --- p.44 / Chapter 5.4 --- Security Analysis --- p.44 / Chapter 5.4.1 --- Multi-key parallel one-more unforgeability of blind signature --- p.45 / Chapter 5.4.2 --- Security of our blind SAG signatures --- p.47 / Chapter 5.5 --- Discussion --- p.49 / Chapter 6 --- Linkable Spontaneous Anonymous Group Signature --- p.51 / Chapter 6.1 --- introduction --- p.51 / Chapter 6.2 --- Related work --- p.51 / Chapter 6.3 --- Basic Building Blocks --- p.52 / Chapter 6.3.1 --- Proving the Knowledge of Several Discrete Logarithms --- p.53 / Chapter 6.3.2 --- Proving the Knowledge of d Out of n Equalities of Discrete Logarithms --- p.55 / Chapter 6.4 --- Security Model --- p.57 / Chapter 6.4.1 --- Syntax --- p.57 / Chapter 6.4.2 --- Notions of Security --- p.59 / Chapter 6.5 --- Our Construction --- p.63 / Chapter 6.5.1 --- An Linkable Threshold SAG Signature Scheme --- p.63 / Chapter 6.5.2 --- Security --- p.65 / Chapter 6.5.3 --- Discussions --- p.67 / Chapter 7 --- Conclusion --- p.70 / Bibliography --- p.72

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325409
Date January 2005
ContributorsChan, Kwok Leong., 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, vii, 78 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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