An Overview of Algebraic Geometry Codes from Surfaces

An Overview of Algebraic Geometry Codes from Surfaces

Centre International de Rencontres Mathématiques via YouTube Direct link

Surfaces

10 of 24

10 of 24

Surfaces

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An Overview of Algebraic Geometry Codes from Surfaces

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  1. 1 Introduction
  2. 2 Presentation Outline
  3. 3 What do I need
  4. 4 Effective divisor
  5. 5 Parameters
  6. 6 Evaluation map
  7. 7 Curves
  8. 8 Minimum distance
  9. 9 Restriction
  10. 10 Surfaces
  11. 11 Restrictions
  12. 12 Parameters from surfaces
  13. 13 Human Heart Theorem
  14. 14 Example
  15. 15 Refinements
  16. 16 Linear system
  17. 17 P interpolating system
  18. 18 Comparison
  19. 19 Towers of surfaces
  20. 20 Effectiveness of codes
  21. 21 Toric varieties
  22. 22 Global decoding
  23. 23 Local properties
  24. 24 Conclusion

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