Tsang Pak Kong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 95-107). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Privacy --- p.1 / Chapter 1.2 --- Cryptography --- p.5 / Chapter 1.2.1 --- History of Cryptography --- p.5 / Chapter 1.2.2 --- Cryptography Today --- p.6 / Chapter 1.2.3 --- Cryptography For Privacy --- p.7 / Chapter 1.3 --- Thesis Organization --- p.8 / Chapter 2 --- Background --- p.10 / Chapter 2.1 --- Notations --- p.10 / Chapter 2.2 --- Complexity Theory --- p.11 / Chapter 2.2.1 --- Order Notation --- p.11 / Chapter 2.2.2 --- Algorithms and Protocols --- p.11 / Chapter 2.2.3 --- Relations and Languages --- p.13 / Chapter 2.3 --- Algebra and Number Theory --- p.14 / Chapter 2.3.1 --- Groups --- p.14 / Chapter 2.3.2 --- Intractable Problems --- p.16 / Chapter 2.4 --- Cryptographic Primitives --- p.18 / Chapter 2.4.1 --- Public-Key Encryption --- p.18 / Chapter 2.4.2 --- Identification Protocols --- p.21 / Chapter 2.4.3 --- Digital Signatures --- p.22 / Chapter 2.4.4 --- Hash Functions --- p.24 / Chapter 2.4.5 --- Zero-Knowledge Proof of Knowledge --- p.26 / Chapter 2.4.6 --- Accumulators --- p.32 / Chapter 2.4.7 --- Public Key Infrastructure --- p.34 / Chapter 2.5 --- Zero Knowledge Proof of Knowledge Protocols in Groups of Unknown Order --- p.36 / Chapter 2.5.1 --- The Algebraic Setting --- p.36 / Chapter 2.5.2 --- Proving the Knowledge of Several Discrete Logarithms . --- p.37 / Chapter 2.5.3 --- Proving the Knowledge of a Representation --- p.38 / Chapter 2.5.4 --- Proving the Knowledge of d Out of n Equalities of Discrete Logarithms --- p.39 / Chapter 2.6 --- Conclusion --- p.42 / Chapter 3 --- Related Works --- p.43 / Chapter 3.1 --- Introduction --- p.43 / Chapter 3.2 --- Group-Oriented Signatures without Spontaneity and/or Anonymity --- p.44 / Chapter 3.3 --- SAG Signatures --- p.46 / Chapter 3.4 --- Conclusion --- p.49 / Chapter 4 --- Linkable Ring Signatures --- p.50 / Chapter 4.1 --- Introduction --- p.50 / Chapter 4.2 --- New Notions --- p.52 / Chapter 4.2.1 --- Accusatory Linking --- p.52 / Chapter 4.2.2 --- Non-slanderability --- p.53 / Chapter 4.2.3 --- Linkability in Threshold Ring Signatures --- p.54 / Chapter 4.2.4 --- Event-Oriented Linking --- p.55 / Chapter 4.3 --- Security Model --- p.56 / Chapter 4.3.1 --- Syntax --- p.56 / Chapter 4.3.2 --- Notions of Security --- p.58 / Chapter 4.4 --- Conclusion --- p.63 / Chapter 5 --- Short Linkable Ring Signatures --- p.64 / Chapter 5.1 --- Introduction --- p.64 / Chapter 5.2 --- The Construction --- p.65 / Chapter 5.3 --- Security Analysis --- p.68 / Chapter 5.3.1 --- Security Theorems --- p.68 / Chapter 5.3.2 --- Proofs --- p.68 / Chapter 5.4 --- Discussion --- p.70 / Chapter 5.5 --- Conclusion --- p.71 / Chapter 6 --- Separable Linkable Threshold Ring Signatures --- p.72 / Chapter 6.1 --- Introduction --- p.72 / Chapter 6.2 --- The Construction --- p.74 / Chapter 6.3 --- Security Analysis --- p.76 / Chapter 6.3.1 --- Security Theorems --- p.76 / Chapter 6.3.2 --- Proofs --- p.77 / Chapter 6.4 --- Discussion --- p.79 / Chapter 6.5 --- Conclusion --- p.80 / Chapter 7 --- Applications --- p.82 / Chapter 7.1 --- Offline Anonymous Electronic Cash --- p.83 / Chapter 7.1.1 --- Introduction --- p.83 / Chapter 7.1.2 --- Construction --- p.84 / Chapter 7.2 --- Electronic Voting --- p.85 / Chapter 7.2.1 --- Introduction --- p.85 / Chapter 7.2.2 --- Construction . --- p.87 / Chapter 7.2.3 --- Discussions --- p.88 / Chapter 7.3 --- Anonymous Attestation --- p.89 / Chapter 7.3.1 --- Introduction --- p.89 / Chapter 7.3.2 --- Construction --- p.90 / Chapter 7.4 --- Conclusion --- p.91 / Chapter 8 --- Conclusion --- p.92 / A Paper Derivation --- p.94 / Bibliography --- p.95
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325400 |
| Date | January 2005 |
| Contributors | Tsang, Pak Kong., Chinese University of Hong Kong Graduate School. Division of Information Engineering. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, viii, 107 leaves ; 30 cm. |
| Rights | Use 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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