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A New Related Message Attack on RSA Oded Yacobi UCSD Yacov Yacobi MSR 4/3/2006

A New Related Message Attack on RSA Oded Yacobi UCSD Yacov Yacobi MSR 4/3/2006. Motivation. A new attack on RSA. New tools (new in cryptanalysis). Related Messages. OAEP. OAEP . [M G(r)] || [r H(M G(r))]. Previous Result. Our Result. A Special Case. Follow your nose….

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A New Related Message Attack on RSA Oded Yacobi UCSD Yacov Yacobi MSR 4/3/2006

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  1. A New Related Message Attack on RSA Oded Yacobi UCSD Yacov Yacobi MSR 4/3/2006

  2. Motivation • A new attack on RSA. • New tools (new in cryptanalysis).

  3. Related Messages

  4. OAEP

  5. OAEP [MG(r)] || [r H(M G(r))]

  6. Previous Result

  7. Our Result

  8. A Special Case

  9. Follow your nose…

  10. Our tool: the divided difference

  11. Example

  12. Adopted lemmas

  13. A new lemma

  14. A new lemma

  15. The attack

  16. Algorithm • Pre-computation • Real-time computation

  17. (Reminder: Adopted lemmas)

  18. More about the computational complexity of the pre-computation

  19. Why is the special case more efficient?

  20. Finite difference continued…

  21. Compare Results

  22. Acknowledgments and References? ACKNOWLEDGEMENTS: Peter Montgomery Gideon Yuval

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