Modeling for Three-Subset Division Property Without Unknown Subset - Improved Cube Attacks

Modeling for Three-Subset Division Property Without Unknown Subset - Improved Cube Attacks

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History of cube attacks 1st generation [DS09]

5 of 14

5 of 14

History of cube attacks 1st generation [DS09]

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Modeling for Three-Subset Division Property Without Unknown Subset - Improved Cube Attacks

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  1. 1 Intro
  2. 2 Overview Cube attack[DS09] : Variant of higher-order differential attacks.
  3. 3 Results from our new algorithm Degeneration results
  4. 4 Stream ciphers
  5. 5 History of cube attacks 1st generation [DS09]
  6. 6 What assumptions are required in the 2nd gen?NTT [TIHM17] used the bit-based division property.
  7. 7 Idea of 3rd gen. cube attack • The preliminary idea was introduced in WHGZS19 .
  8. 8 Path search based on division trail Goal is to check if f(x) has the monomial x or not.
  9. 9 Three-subset division property • We need to use two different propagations.
  10. 10 MILP-unfriendly property Three-subset division property is unfriendly with MILP.
  11. 11 Three-subset division property w/o unknown NTT
  12. 12 The new modeling
  13. 13 Cube attack against Trivium 839-round key recovery attack WHTLIM 18 .
  14. 14 Summary of applications

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