Title
A New Design Of Private Information Retrieval For Storage Constrained Databases
Abstract
Private information retrieval (PIR) allows a user to download one of K messages from N databases without revealing to any database which of the K messages is being downloaded. In general, the databases can be storage constrained where each database can only store up to mu KL bits where 1/N <= mu <= 1 and L is the size of each message in bits. Let t = mu N, a recent work showed that the capacity of Storage Constrained PIR (SC-PIR) is (1 + 1/t + 1/t(2) + . .. + 1/t(K-1))(-1), which is achieved by a storage placement scheme inspired by the content placement scheme in the literature of coded caching and the original PIR scheme. Not surprisingly, this achievable scheme requires that each message is L = ((N)(t))t(K) bits in length, which can be impractical. In this paper, without trying to make the connection between SC-PIR and coded caching problems, based on a general connection between the Full Storage PIR (FS-PIR) problem (mu = 1) and SC-PIR problem, we propose a new SC-PIR design idea using novel storage placement schemes. The proposed schemes significantly reduce the message size requirement while still meeting the capacity of SC-PIR. In particular, the proposed SC-PIR schemes require the size of each file to be only L = Nt(K-1) compared to the state-of-the-art L = ((N)(t))t(K).
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849767
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Field
DocType
Volume
Discrete mathematics,Private information retrieval,Mathematics,Database,Message size
Journal
abs/1901.07490
Citations 
PageRank 
References 
1
0.36
5
Authors
3
Name
Order
Citations
PageRank
Nicholas Woolsey1156.06
Rong-Rong Chen27010.31
Mingyue Ji364151.43