Practical Applications of Homomorphic Encryption

Explore practical applications of homomorphic encryption in this 54-minute lecture by Hao Chen from Microsoft Research. Delve into the fundamentals of homomorphic encryption, its use cases, and performance benchmarks. Learn about Oblivious RAM with O(1) communication through the Onion Ring ORAM architecture. Examine optimizations in oblivious permutation and eviction. Gain insights into Multi-Key Homomorphic Encryption (MKHE) over rings, focusing on relinearization key generation and new relinearization techniques. Discover the implementation of MNIST inference using the SPDZ framework, including optimizations for matrix triple generation and authenticated share creation. Conclude with an overview of Microsoft SEAL 3.5 and its matrix multiplication performance.

Intro
Roadmap
What is homomorphic encryption?
Use cases of homomorphic encryption
Some Benchmarks
Application 1 -- Onion Ring ORAM: Oblivious RAM with O(1) communication
Quick intro to ORAM architecture
Access block 1
Optimizing oblivious permutation
Oblivious eviction in ORAM
(Incomplete) Overview of MKHE over ring
Relinearization key generation
New idea for relinearization
MNIST Inference
Recall the SPDZ framework
Our pipeline for matrix triple generation
Optimization: removing the sacrifice . What is sacrifice ? Recall how SPDZ generates authenticated shares
Removing the sacrifice in SPDZ
Microsoft SEAL 3.5
Matrix multiplication performance based on SEAL