Paper 2022/1391

Efficient Noise Generation Protocols for Differentially Private Multiparty Computation

Reo Eriguchi, The University of Tokyo, National Institute of Advanced Industrial Science and Technology
Atsunori Ichikawa, NTT (Japan)
Noboru Kunihiro, University of Tsukuba
Koji Nuida, Kyushu University, National Institute of Advanced Industrial Science and Technology

To bound information leakage in outputs of protocols, it is important to construct secure multiparty computation protocols which output differentially private values perturbed by the addition of noise. However, previous noise generation protocols have round and communication complexity growing with differential privacy budgets, or require parties to locally generate non-uniform noise, which makes it difficult to guarantee differential privacy against active adversaries. We propose three kinds of protocols for generating noise drawn from certain distributions providing differential privacy. The two of them generate noise from finite-range variants of the discrete Laplace distribution. For $(\epsilon,\delta)$-differential privacy, they only need constant numbers of rounds independent of $\epsilon,\delta$ while the previous protocol needs the number of rounds depending on $\delta$. The two protocols are incomparable as they make a trade-off between round and communication complexity. Our third protocol non-interactively generates shares of noise from the binomial distribution by predistributing keys for a pseudorandom function. It achieves communication complexity independent of $\epsilon$ or $\delta$ for the computational analogue of $(\epsilon,\delta)$-differential privacy while the previous protocols require communication complexity depending on $\epsilon$. We also prove that our protocols can be extended so that they provide differential privacy in the active setting.

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Cryptographic protocols
Publication info
differential privacy secure multiparty computation secret sharing
Contact author(s)
reo-eriguchi @ g ecc u-tokyo ac jp
atsunori ichikawa nf @ hco ntt co jp
kunihiro @ cs tsukuba ac jp
nuida @ imi kyushu-u ac jp
2022-10-14: approved
2022-10-14: received
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      author = {Reo Eriguchi and Atsunori Ichikawa and Noboru Kunihiro and Koji Nuida},
      title = {Efficient Noise Generation Protocols for Differentially Private Multiparty Computation},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1391},
      year = {2022},
      note = {\url{}},
      url = {}
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