# American Institute of Mathematical Sciences

November  2012, 6(4): 479-497. doi: 10.3934/amc.2012.6.479

## Extended combinatorial constructions for peer-to-peer user-private information retrieval

 1 University of Waterloo, David C. Cheriton School of Computer Science, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada, Canada

Received  December 2011 Published  December 2012

We consider user-private information retrieval (UPIR), an interesting alternative to private information retrieval (PIR) introduced by Domingo-Ferrer et al. In UPIR, the database knows which records have been retrieved, but does not know the identity of the query issuer. The goal of UPIR is to disguise user profiles from the database. Domingo-Ferrer et al. focus on using a peer-to-peer community to construct a UPIR scheme, which we term P2P UPIR. In this paper, we establish a strengthened model for P2P UPIR and clarify the privacy goals of such schemes using standard terminology from the field of privacy research. In particular, we argue that any solution providing privacy against the database should attempt to minimize any corresponding loss of privacy against other users. We give an analysis of existing schemes, including a new attack by the database. Finally, we introduce and analyze two new protocols. Whereas previous work focuses on a special type of combinatorial design known as a configuration, our protocols make use of more general designs. This allows for flexibility in protocol set-up, allowing for a choice between having a dynamic scheme (in which users are permitted to enter and leave the system), or providing increased privacy against other users.
Citation: Colleen M. Swanson, Douglas R. Stinson. Extended combinatorial constructions for peer-to-peer user-private information retrieval. Advances in Mathematics of Communications, 2012, 6 (4) : 479-497. doi: 10.3934/amc.2012.6.479
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