Unconditional Class Group Computation and Applications

Unconditional Class Group Computation and Applications

Fields Institute via YouTube Direct link

Cryptography

6 of 14

6 of 14

Cryptography

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Unconditional Class Group Computation and Applications

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  1. 1 Intro
  2. 2 The Class Group and Unit Group
  3. 3 Index-calculus (Imaginary Quadratic Case)
  4. 4 Where do we need GRH?
  5. 5 Summary
  6. 6 Cryptography
  7. 7 Testing Unproved Conjectures
  8. 8 Class Group Tabulation
  9. 9 Previous Tabulations (Highlights)
  10. 10 Verification (Ramachandran, J., Williams 2006)
  11. 11 Computing ha in Batch (Mosunov, J. 2014)
  12. 12 Real Quadratic Fields
  13. 13 Complex Cubic Fields
  14. 14 Quantum Improvements for Unconditional Tabulation?

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