PIR Over Wireless Channels: Achieving Privacy With Public Responses

Or Elimelech; Asaf Cohen

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arXiv · 2501.11740

PIR Over Wireless Channels: Achieving Privacy With Public Responses

Or Elimelech·Asaf Cohen

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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.

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Or Elimelech, Asaf Cohen. 2025-01-20. PIR Over Wireless Channels: Achieving Privacy With Public Responses. https://arxiv.org/abs/2501.11740

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