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From SWHE to FHE
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Classroom Contents
Tutorial on Homomorphic Encryption
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- 1 Intro
- 2 Learning with Errors (LWE) Regev 2005 Hard to solve linear equations with noise
- 3 The (BV'11b) Construction
- 4 Homomorphism
- 5 Multiplying More than once?
- 6 Reducing the Dimension
- 7 An Attempt that Almost Works
- 8 Dimension Reduction (Key-Switching)
- 9 Security
- 10 The (BV'11b) "Leveled SWHE"
- 11 From SWHE to FHE
- 12 Modulus Switching - Main Lemma
- 13 How Does Modulus-Switching Help?
- 14 Putting It All Together
- 15 The (BGV'11) Leveled FHE
- 16 Variants and Optimizations
- 17 Current Status of HE constructions