Computer Science > Cryptography and Security
[Submitted on 18 May 2023 (v1), last revised 7 Sep 2023 (this version, v2)]
Title:Amplification by Shuffling without Shuffling
View PDFAbstract:Motivated by recent developments in the shuffle model of differential privacy, we propose a new approximate shuffling functionality called Alternating Shuffle, and provide a protocol implementing alternating shuffling in a single-server threat model where the adversary observes all communication. Unlike previous shuffling protocols in this threat model, the per-client communication of our protocol only grows sub-linearly in the number of clients. Moreover, we study the concrete efficiency of our protocol and show it can improve per-client communication by one or more orders of magnitude with respect to previous (approximate) shuffling protocols. We also show a differential privacy amplification result for alternating shuffling analogous to the one for uniform shuffling, and demonstrate that shuffling-based protocols for secure summation based a construction of Ishai et al. (FOCS'06) remain secure under the Alternating Shuffle. In the process we also develop a protocol for exact shuffling in single-server threat model with amortized logarithmic communication per-client which might be of independent interest.
Submission history
From: Borja Balle [view email][v1] Thu, 18 May 2023 10:38:26 UTC (232 KB)
[v2] Thu, 7 Sep 2023 17:41:40 UTC (233 KB)
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