English

PIR Over Wireless Channels: Achieving Privacy With Public Responses

Information Theory 2025-01-27 v2 math.IT

Abstract

In this paper, we address the problem of Private Information Retrieval (PIR) over a public Additive White Gaussian Noise (AWGN) channel. In such a setup, the server's responses are visible to other servers. Thus, a curious server can listen to the other responses, compromising the user's privacy. Indeed, previous works on PIR over a shared medium assumed the servers cannot instantaneously listen to other responses. To address this gap, we present a novel randomized lattice -- PIR coding scheme that jointly codes for privacy, channel noise, and curious servers which may listen to other responses. We demonstrate that a positive PIR rate is achievable even in cases where the channel to the curious server is stronger than the channel to the user.

Keywords

Cite

@article{arxiv.2501.11740,
  title  = {PIR Over Wireless Channels: Achieving Privacy With Public Responses},
  author = {Or Elimelech and Asaf Cohen},
  journal= {arXiv preprint arXiv:2501.11740},
  year   = {2025}
}