Differentially private summation with multi-message shuffling
In recent work, Cheu et al.(Eurocrypt 2019) proposed a protocol for $ n $-party real
summation in the shuffle model of differential privacy with $ O_ {\epsilon,\delta}(1) $ error
and $\Theta (\epsilon\sqrt {n}) $ one-bit messages per party. In contrast, every local model
protocol for real summation must incur error $\Omega (1/\sqrt {n}) $, and there exist protocols
matching this lower bound which require just one bit of communication per party. Whether
this gap in number of messages is necessary was left open by Cheu et al. In this note we …
summation in the shuffle model of differential privacy with $ O_ {\epsilon,\delta}(1) $ error
and $\Theta (\epsilon\sqrt {n}) $ one-bit messages per party. In contrast, every local model
protocol for real summation must incur error $\Omega (1/\sqrt {n}) $, and there exist protocols
matching this lower bound which require just one bit of communication per party. Whether
this gap in number of messages is necessary was left open by Cheu et al. In this note we …
In recent work, Cheu et al. (Eurocrypt 2019) proposed a protocol for -party real summation in the shuffle model of differential privacy with error and one-bit messages per party. In contrast, every local model protocol for real summation must incur error , and there exist protocols matching this lower bound which require just one bit of communication per party. Whether this gap in number of messages is necessary was left open by Cheu et al. In this note we show a protocol with error and messages of size per party. This protocol is based on the work of Ishai et al.\ (FOCS 2006) showing how to implement distributed summation from secure shuffling, and the observation that this allows simulating the Laplace mechanism in the shuffle model.
arxiv.org
Showing the best result for this search. See all results