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New Mathematical Framework
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Classroom Contents
Fully Homomorphic Encryption: Advanced Techniques and Optimizations - Session 2
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- 1 Intro
- 2 Fully Homomorphic Encryption
- 3 Noise Grows with Computation
- 4 Need to Clean Noise
- 5 Bootstrapping Framework [Gentry]
- 6 Current State of the Art
- 7 Limitations and Tradeoffs
- 8 Fundamental Question
- 9 Recap of (R)LWE and RGSW
- 10 Recap of FHEW-like Bootstrapping
- 11 Technical Barriers for SIMD
- 12 New Mathematical Framework
- 13 Final Solution - Reuse Rings
- 14 Instantiations of Tensor Fields/Rings
- 15 Summary
- 16 Homomorphic Comp of the Framework
- 17 Overall Computation Structure
- 18 Application to FHEW-like Algorithms
- 19 Error Growth for Batch FHEW
- 20 Parameters of the Rings
- 21 Results and Comparison
- 22 High Level Question
- 23 (Recursive) Nussbaumer Transform [MS18]
- 24 DFT-based Polynomial Multiplications [MS18]
- 25 Optimization by Recursion
- 26 FHEW with Nussbaumer Transform
