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The World According to Lattices
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Classroom Contents
Mathematics of Computation Through the Lens of Linear Equations and Lattices
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- 1 Intro
- 2 DEF: Linear equations (LE)
- 3 DEF: Error correcting codes (ECC)
- 4 ECC via balls
- 5 Closest Vector Problem (CVP)
- 6 DEF: LE non-perfect solution
- 7 DEF: LE, approximate solution
- 8 DEF: Unique-Games
- 9 DEF: Lattice-Discrete Subgroup
- 10 Lattice-CVP
- 11 The World According to Lattices
- 12 The Importance of being Infeasible
- 13 Worst-case vs. Average-case
- 14 Minkowski & in Reverse
- 15 Reverse Minkowski
- 16 Open Qi Relating to Classical Problems
- 17 Open Q: Hardness of Approximating SVP/CVP
- 18 The Future of Computing?
