On the Security of Two Threshold Signature Schemes with Traceable Signers 1st edition by Guilin Wang, Xiaoxi Han, Bo Zhu – Ebook PDF Instant Download/Delivery. 3540202080, 978-3540202080
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Product details:
ISBN 10: 3540202080
ISBN 13: 978-3540202080
Author: Guilin Wang, Xiaoxi Han, Bo Zhu
A (t,n) threshold signature scheme allows t or more group members to generate signatures on behalf of a group with n members, while any t-1 or less members cannot do the same thing. In 2001, based on a variant of ElGamal digital signature scheme, Li et al. proposed two (t,n) threshold signature schemes with traceable signers. One of their schemes needs the assistance of a mutually trusted center, while the other does not. In this paper, we present a security analysis on their schemes. We first point out that in fact signers in their schemes are untraceable, since anybody can convert a valid threshold signature into a new one such that another subset of group members will be wrongly considered as the signers of the new threshold signature for the same message. Furthermore, we demonstrate an attack to show that their second threshold signature scheme is insecure. In our attack, (n–t+1) colluding members can control the group secret key. Therefore, they can generate valid threshold signature for any message without the help of other members. Furthermore, honest members cannot detect this security flaw in the system, since any t members can generate threshold signatures according to the prescribed protocols.
On the Security of Two Threshold Signature Schemes with Traceable Signers 1st Table of contents:
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Introduction
- 1.1 Motivation for Threshold Signature Schemes
- 1.2 The Concept of Traceable Signatures
- 1.3 Overview of Two Threshold Signature Schemes
- 1.4 Security Challenges and Threat Models
- 1.5 Contributions of the Paper
- 1.6 Organization of the Paper
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Background and Related Work
- 2.1 Threshold Cryptography: An Introduction
- 2.2 Definition and Construction of Threshold Signature Schemes
- 2.3 Traceability in Cryptographic Signatures
- 2.4 Existing Threshold Signature Schemes with Traceable Signers
- 2.5 Security Definitions in Threshold Signature Schemes
- 2.6 Related Works on Security Analysis of Threshold Signatures
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Preliminaries
- 3.1 Mathematical Foundations: Cryptographic Assumptions
- 3.2 Threshold Signature Scheme Model
- 3.3 Traceability and Accountability Mechanisms
- 3.4 Formal Security Definitions: Unforgeability, Privacy, and Traceability
- 3.5 Assumptions and Threat Model for Security Analysis
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Description of the Two Threshold Signature Schemes
- 4.1 Overview of Scheme 1: Structure and Operation
- 4.2 Overview of Scheme 2: Structure and Operation
- 4.3 Comparison of the Two Threshold Signature Schemes
- 4.4 Traceability Mechanism in Both Schemes
- 4.5 Key Generation, Signing Process, and Verification
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Security Analysis
- 5.1 Security Requirements for Threshold Signature Schemes
- 5.2 Formal Security Proofs: Unforgeability and Collusion Resistance
- 5.3 Traceability and Accountability of Signers
- 5.4 Resistance to Impersonation and Malicious Attacks
- 5.5 Security under Adversarial Conditions: Honest Majority vs. Malicious Signers
- 5.6 Potential Vulnerabilities and Attack Scenarios
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Performance Evaluation
- 6.1 Computational Complexity of the Schemes
- 6.2 Communication Overhead: Signature Size and Efficiency
- 6.3 Scalability of the Threshold Signature Schemes
- 6.4 Traceability Efficiency: Verifying Signer Identity
- 6.5 Comparison with Other Threshold Signature Schemes
- 6.6 Experimental Results and Benchmarks
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Applications and Use Cases
- 7.1 Secure Multi-Party Protocols and Threshold Digital Signatures
- 7.2 Blockchain and Cryptocurrencies: Enhancing Security and Accountability
- 7.3 Secure Voting Systems and Electronic Elections
- 7.4 Financial Systems and Multi-Signature Accounts
- 7.5 Government and Legal Applications: Traceable Digital Signatures
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Challenges and Limitations
- 8.1 Complexity in Implementation and Key Management
- 8.2 Trade-off Between Traceability and Privacy
- 8.3 Handling Collusion Among Signers
- 8.4 Resistance to Adaptive and Parallel Attacks
- 8.5 Practical Considerations in Real-World Deployments
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Future Directions
- 9.1 Enhancing Traceability Without Compromising Privacy
- 9.2 Quantum-Resistant Threshold Signature Schemes
- 9.3 Integrating Threshold Signatures with Blockchain and Distributed Ledgers
- 9.4 Addressing Efficiency in Large-Scale Systems
- 9.5 Potential for Hybrid Threshold Signatures with Other Cryptographic Primitives
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Conclusion
- 10.1 Summary of Key Contributions
- 10.2 Impact of Security Improvements on Threshold Signature Schemes
- 10.3 Open Problems and Future Research Directions
- 10.4 Final Remarks
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