Verifiable Homomorphic Oblivious Transfer and Private Equality Test 1st edition by Helger Lipmaa ISBN 3540205920 9783540205920

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Product details:

ISBN 10:       3540205920
ISBN 13: 978-3540205920
Author:         Helger Lipmaa
 

Verifiable Homomorphic Oblivious Transfer and Private Equality Test  1st Table of contents:

1. Introduction

   • 1.1 Background on Oblivious Transfer (OT)
   • 1.2 Homomorphic Encryption and Its Applications
   • 1.3 Private Equality Test (PET)
   • 1.4 Verifiable Homomorphic Oblivious Transfer (vHOT)
   • 1.5 Problem Statement and Contributions
   • 1.6 Structure of the Paper

2. Preliminaries

   • 2.1 Cryptographic Basics
     • 2.1.1 Public Key Cryptography
     • 2.1.2 Homomorphic Encryption
     • 2.1.3 Oblivious Transfer (OT)
     • 2.1.4 Private Equality Testing (PET)
   • 2.2 Security Models and Definitions
     • 2.2.1 Security Definitions for OT
     • 2.2.2 Security in Homomorphic Encryption
     • 2.2.3 Security for Private Equality Testing
   • 2.3 Assumptions and Cryptographic Primitives

3. Verifiable Homomorphic Oblivious Transfer (vHOT)

   • 3.1 Definition of Verifiable Homomorphic Oblivious Transfer
   • 3.2 Motivation for Verifiability in OT Protocols
   • 3.3 The Protocol for Verifiable Homomorphic Oblivious Transfer
   • 3.4 Correctness of the Protocol
   • 3.5 Security Considerations and Proofs
     • 3.5.1 Security Against Malicious Parties
     • 3.5.2 Verifiability and its Importance

4. Private Equality Test (PET)

   • 4.1 Definition and Problem Statement
   • 4.2 Protocol for Private Equality Testing
     • 4.2.1 Basic PET Protocol
     • 4.2.2 Protocol Extensions for Efficiency
   • 4.3 Security and Privacy Guarantees
     • 4.3.1 Privacy in the Presence of Malicious Parties
     • 4.3.2 Verifiable Privacy in PET Protocols
   • 4.4 Applications of PET in Privacy-Preserving Computation

5. Combining vHOT and PET

   • 5.1 Motivation for Combining vHOT and PET
   • 5.2 A Combined Protocol for Homomorphic OT with Private Equality Testing
   • 5.3 Security Analysis of the Combined Protocol
     • 5.3.1 Security Properties of the Combined Protocol
     • 5.3.2 Efficiency Considerations
   • 5.4 Practical Implementation and Use Cases

6. Applications in Privacy-Preserving Cryptography

   • 6.1 Secure Multi-Party Computation (SMC)
   • 6.2 Privacy-Preserving Data Mining
   • 6.3 Private Information Retrieval (PIR)
   • 6.4 Secure Auctions and Voting Protocols
   • 6.5 Other Applications in Privacy and Cryptography

7. Performance Evaluation

   • 7.1 Experimental Setup and Metrics
   • 7.2 Efficiency of Verifiable Homomorphic OT
   • 7.3 Performance of Private Equality Testing
   • 7.4 Comparison with Other Cryptographic Protocols
   • 7.5 Evaluation Results and Discussion

8. Security Analysis

   • 8.1 Formal Security Proofs for vHOT and PET
   • 8.2 Threat Models and Attacker Assumptions
   • 8.3 Security Against Malicious Attacks
   • 8.4 Robustness and Resilience of the Protocols
   • 8.5 Side-Channel and Leakage Considerations

9. Extensions and Future Work

   • 9.1 Generalizations of Verifiable Homomorphic OT
   • 9.2 Optimizing PET for Larger Scale Applications
   • 9.3 Hybrid Approaches and Integrating with Other Cryptographic Techniques
   • 9.4 Future Directions in Privacy-Preserving Protocols
   • 9.5 Open Problems in Verifiable OT and PET

10. Conclusion

• 10.1 Summary of Contributions
• 10.2 Impact on Privacy-Preserving Cryptography
• 10.3 Future Research Directions

11. References

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