Efficient Group Signatures without Trapdoors 1st edition by Giuseppe Ateniese, Breno de Medeiros – Ebook PDF Instant Download/Delivery. 3540205920, 978-3540205920
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ISBN 10: 3540205920
ISBN 13: 978-3540205920
Author: Giuseppe Ateniese, Breno de Medeiros
Group signature schemes are fundamental cryptographictools that enable unlinkably anonymous authentication, in the same fashion that digital signatures provide the basis for strong authentication protocols. In this paper we present the first group signature scheme with constant-size parameters that does not require any group member, including group managers, to know trapdoor secrets. This novel type of group signature scheme allows public parameters to be shared among organizations. Such sharing represents a highly desirable simplification over existing schemes, which require each organization to maintain a separate cryptographic domain.
Efficient Group Signatures without Trapdoors 1st Table of contents:
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Introduction
- 1.1 Background on Group Signatures
- 1.2 Importance of Efficient Group Signatures
- 1.3 Trapdoor Functions in Cryptography: Why Avoid Them?
- 1.4 Contributions of This Paper
- 1.5 Structure of the Paper
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Preliminaries
- 2.1 Basics of Cryptographic Signatures
- 2.2 Overview of Group Signature Schemes
- 2.2.1 Definition and Goals of Group Signatures
- 2.2.2 Properties of Secure Group Signatures
- 2.3 Trapdoor Functions in Cryptography
- 2.3.1 What Are Trapdoor Functions?
- 2.3.2 Why Some Group Signatures Use Trapdoors
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Design of the Group Signature Scheme
- 3.1 High-Level Overview of the Scheme
- 3.2 Key Generation and Setup
- 3.3 Signing Algorithm
- 3.4 Verification Algorithm
- 3.5 Group Manager and Revocation Mechanism
- 3.6 Security Model for Group Signatures Without Trapdoors
- 3.6.1 Security Definitions and Assumptions
- 3.6.2 Ideal Group Signature Model
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Security Analysis
- 4.1 Informal Security Requirements
- 4.1.1 Unforgeability
- 4.1.2 Anonymity
- 4.1.3 Traceability
- 4.1.4 Non-repudiation
- 4.2 Formal Security Proofs
- 4.2.1 Proof of Anonymity
- 4.2.2 Proof of Unforgeability
- 4.2.3 Proof of Traceability
- 4.3 Comparison to Existing Group Signature Schemes with Trapdoors
- 4.1 Informal Security Requirements
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Efficiency Considerations
- 5.1 Computational Efficiency
- 5.1.1 Time Complexity of Signing and Verification
- 5.1.2 Impact on Cryptographic Operations (e.g., pairings, modular arithmetic)
- 5.2 Communication Efficiency
- 5.2.1 Signature Size Analysis
- 5.2.2 Overhead in Group Signature Operations
- 5.3 Practical Implementation Considerations
- 5.3.1 Trade-offs Between Security and Performance
- 5.3.2 Comparison to Other Group Signature Schemes in Practice
- 5.1 Computational Efficiency
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Applications of Group Signatures Without Trapdoors
- 6.1 Privacy-Preserving Authentication Systems
- 6.2 Secure Voting Protocols
- 6.3 Blockchain and Distributed Ledger Technologies
- 6.4 Privacy-Enhancing Technologies in Cryptocurrencies
- 6.5 Legal and Regulatory Use Cases
- 6.5.1 Regulatory Compliance with Anonymized Group Signatures
- 6.5.2 Legal Use Cases in Decentralized Systems
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Experimental Results
- 7.1 Performance Evaluation in Real-World Scenarios
- 7.1.1 Benchmarks of Signing/Verifying Times
- 7.1.2 Scalability for Large Groups
- 7.2 Security Evaluation with Simulated Attacks
- 7.2.1 Success of Forgery Attempts
- 7.2.2 Evaluation of Traceability Mechanism
- 7.3 Comparison with Existing Systems
- 7.3.1 Empirical Comparison with Trapdoor-Based Group Signatures
- 7.3.2 Trade-offs Between Security and Efficiency
- 7.1 Performance Evaluation in Real-World Scenarios
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Challenges and Open Problems
- 8.1 Challenges in Scalability for Large Groups
- 8.2 Enhancing Revocation Mechanisms Without Trapdoors
- 8.3 Balancing Security with Efficiency for Low-Resource Devices
- 8.4 Future Directions in Group Signature Research
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Conclusion
- 9.1 Summary of Contributions
- 9.2 Implications for the Field of Cryptography
- 9.3 Final Thoughts on Group Signatures Without Trapdoors
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