2-Server PIR with Subpolynomial Communication

Author:

Dvir Zeev1,Gopi Sivakanth1

Affiliation:

1. Princeton University, NJ, USA

Abstract

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the i th bit of an n -bit database replicated among two noncommunicating servers, while not revealing any information about i to either server. In this work, we construct a 2-server PIR scheme with total communication cost n O (√log / log n log n ). This improves over current 2-server protocols, which all require Ω( n 1/3 ) communication. Our construction circumvents the n 1/3 barrier of Razborov and Yekhanin [2007], which holds for the restricted model of bilinear group-based schemes (covering all previous 2-server schemes). The improvement comes from reducing the number of servers in existing protocols, based on Matching Vector Codes, from 3 or 4 servers to 2. This is achieved by viewing these protocols in an algebraic way (using polynomial interpolation) and extending them using partial derivatives.

Funder

Sloan fellowship

NSF

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference23 articles.

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3. Two-Server Private Information Retrieval with High Throughput and Logarithmic Bandwidth;2023 IEEE/CIC International Conference on Communications in China (ICCC);2023-08-10

4. k-server Byzantine-Resistant PIR Scheme with Optimal Download Rate and Optimal File Size;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

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