Low exponent RSA with related messages 1st edition by Don Coppersmith, Matthew Franklin, Jacques Patarin, Michael Reiter ISBN 3540611868 9783540611868

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Product details:

ISBN 10:       3540611868
ISBN 13: 978-3540611868
Author:         Don Coppersmith, Matthew Franklin, Jacques Patarin, Michael Reiter 

In this paper we present a new class of attacks against RSA with low encrypting exponent. The attacks enable the recovery of plain- text messages from their ciphertexts and a known polynomial relationship among the messages, provided that the ciphertexts were created using the same RSA public key with low encrypting exponent.

Low-exponent RSA with related messages 1st  Table of contents:

Chapter 1: Introduction

• Overview of RSA Cryptography
• The Significance of Low-Exponent RSA
• Motivation for Studying Related Messages
• Structure of the Paper/Book

Chapter 2: Background and Fundamentals

• Basics of RSA Encryption and Decryption
• Mathematical Foundation of RSA: Modular Arithmetic, Primes, and Euler’s Theorem
• Cryptographic Assumptions and Security Models
• Related Messages in Cryptography

Chapter 3: Low-Exponent RSA

• Definition and Properties of Low-Exponent RSA
• Common Exponent Values: e = 3, e = 5, etc.
• Security Risks of Low-Exponent RSA
• Theoretical and Practical Implications of Low Exponents

Chapter 4: Related Messages in RSA

• Concept of Related Messages in Cryptography
• How Related Messages Can Affect RSA Security
• Example Scenarios Involving Related Messages
• Potential Attack Vectors When Messages are Related

Chapter 5: Cryptanalysis of Low-Exponent RSA with Related Messages

• Attack Models Involving Related Messages
• Classical Cryptanalytic Techniques for Low-Exponent RSA
• Examples of Related Message Attacks (e.g., Hastad’s Broadcast Attack, Common Modulus Attack)
• Security Vulnerabilities Introduced by Low Exponents
• Mitigation Strategies for Low-Exponent RSA

Chapter 6: Attack Techniques on Low-Exponent RSA

• The Generalized Hastad’s Broadcast Attack
• Low-Exponent Attacks Using Chinese Remainder Theorem (CRT)
• Timing Attacks and Their Impact on Low-Exponent RSA
• Mathematical Models of Related Messages in Low-Exponent RSA Attacks
• Case Studies of Successful Attacks

Chapter 7: Countermeasures for Low-Exponent RSA Security

• Padding Schemes: OAEP, PSS, and Their Effectiveness
• Proper Key Management and Choosing Secure Exponent Values
• Hybrid Cryptographic Approaches: RSA with ElGamal, ECC
• Implementing Stronger Encryption Standards with High Exponent RSA
• Other Security Protocols to Mitigate Related Message Attacks

Chapter 8: Practical Applications and Considerations

• Real-World Use of Low-Exponent RSA (e.g., Digital Signatures, SSL/TLS)
• Trade-offs in Performance vs. Security
• Impact of Related Messages on the Efficiency of RSA
• Practical Examples of Low-Exponent RSA Usage in Systems
• Security Best Practices in Modern Cryptographic Implementations

Chapter 9: Open Problems and Future Research Directions

• Outstanding Questions in Low-Exponent RSA Cryptanalysis
• Potential Advances in Mathematical Cryptanalysis
• Research into Resilient RSA Key Management
• The Future of RSA with Respect to Quantum Computing
• Emerging Cryptographic Standards and Their Impact on Low-Exponent RSA

Chapter 10: Conclusion

• Recap of Key Concepts and Results
• Implications of Related Message Attacks on RSA Security
• Final Thoughts on the Practical Use of Low-Exponent RSA

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