Visible to the public On the Information Leakage in Private Information Retrieval Systems

TitleOn the Information Leakage in Private Information Retrieval Systems
Publication TypeJournal Article
Year of Publication2020
AuthorsGuo, T., Zhou, R., Tian, C.
JournalIEEE Transactions on Information Forensics and Security
Volume15
Pagination2999—3012
ISSN1556-6021
Keywordschaotic communication, coding schemes, common randomness, data privacy, Encryption, Human Behavior, Indexes, individual message leakage, information forensics, information leakage, information retrieval, Metrics, PIR systems, privacy, private information retrieval systems, pubcrawl, resilience, Resiliency, Scalability, security, total leakage
AbstractWe consider information leakage to the user in private information retrieval (PIR) systems. Information leakage can be measured in terms of individual message leakage or total leakage. Individual message leakage, or simply individual leakage, is defined as the amount of information that the user can obtain on any individual message that is not being requested, and the total leakage is defined as the amount of information that the user can obtain about all the other messages except the one being requested. In this work, we characterize the tradeoff between the minimum download cost and the individual leakage, and that for the total leakage, respectively. Coding schemes are proposed to achieve these optimal tradeoffs, which are also shown to be optimal in terms of the message size. We further characterize the optimal tradeoff between the minimum amount of common randomness and the total leakage. Moreover, we show that under individual leakage, common randomness is in fact unnecessary when there are more than two messages.
DOI10.1109/TIFS.2020.2981282
Citation Keyguo_information_2020