An LLL Algorithm for Module Lattices

An LLL Algorithm for Module Lattices

Simons Institute via YouTube Direct link

QR factorization over R

7 of 14

7 of 14

QR factorization over R

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An LLL Algorithm for Module Lattices

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  1. 1 An LLL algorithm for module lattices
  2. 2 What is small in K?
  3. 3 Previous works and result
  4. 4 Outline of the talk
  5. 5 High-level overview of LLL
  6. 6 Inner product over R
  7. 7 QR factorization over R
  8. 8 Euclidean division
  9. 9 Using the Log space
  10. 10 Idea of the algorithm
  11. 11 Heuristic
  12. 12 Under the carpet
  13. 13 Summary and impact
  14. 14 Open problems

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