Coding Theoretic Framework for Private Information Retrieval - SIAM SAGA Seminar

Explore the intricacies of private information retrieval (PIR) in this 57-minute seminar presented by Camilla Hollanti from Aalto University. Delve into the coding theoretic framework for PIR, focusing on retrieving data from coded storage systems without compromising data item identity. Learn about linear codes, PIR capacity results, and retrieval schemes. Discover a novel general framework that balances storage overhead and server collusion through the interplay of algebraic-geometric storage and retrieval codes. Gain insights into the star product scheme and its applications in PIR. Examine recent developments, including PIR with quantum communication, and consider open problems in the field.

Intro
Presentation outline
Private information retrieval (PIR)
PIR and maths
Semantics
Achieving privacy
Short introduction to linear codes
Generalized Reed-Solomon codes
Coded PIR: toy example
Sun-Jafar construction for replicated data
Capacity conjectures
Summary of capacities and conjectures
Strong linearity (SL)
PIR codes from star products
PIR with quantum communication (JSAIT 20)
Conclusion
Open problems