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1
Intro
2
Presentation outline
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Private information retrieval (PIR)
4
PIR and maths
5
Semantics
6
Achieving privacy
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Short introduction to linear codes
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Generalized Reed-Solomon codes
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Coded PIR: toy example
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Sun-Jafar construction for replicated data
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Capacity conjectures
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Summary of capacities and conjectures
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Strong linearity (SL)
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PIR codes from star products
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PIR with quantum communication (JSAIT 20)
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Conclusion
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Open problems
Description:
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.

Coding Theoretic Framework for Private Information Retrieval - SIAM SAGA Seminar

Society for Industrial and Applied Mathematics
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