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