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On the Bottleneck Complexity of MPC with Correlated Randomness

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Public-Key Cryptography – PKC 2022 (PKC 2022)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13177))

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Abstract

At ICALP 2018, Boyle et al. introduced the notion of the bottleneck complexity of a secure multi-party computation (MPC) protocol. This measures the maximum communication complexity of any one party in the protocol, aiming to improve load-balancing among the parties.

In this work, we study the bottleneck complexity of MPC in the preprocessing model, where parties are given correlated randomness ahead of time. We present two constructions of bottleneck-efficient MPC protocols, whose bottleneck complexity is independent of the number of parties:

  1. 1.

    A protocol for computing abelian programs, based only on one-way functions.

  2. 2.

    A protocol for selection functions, based on any linearly homomorphic encryption scheme.

Compared with previous bottleneck-efficient constructions, our protocols can be based on a wider range of assumptions, and avoid the use of fully homomorphic encryption.

Research supported by: the Concordium Blockhain Research Center, Aarhus University, Denmark; the Carlsberg Foundation under the Semper Ardens Research Project CF18-112 (BCM); the European Research Council (ERC) under the European Unions’s Horizon 2020 research and innovation programme under grant agreement No 803096 (SPEC); the Aarhus University Research Foundation (AUFF); the Independent Research Fund Denmark (DFF) under project number 0165-00107B; the Digital Research Centre Denmark (DIREC);.

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Notes

  1. 1.

    However, this approach suffices for residual security, as shown in the NIMPC protocol of [HIKR18].

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Authors and Affiliations

  1. Aarhus University, Aarhus, Denmark

    Claudio Orlandi, Divya Ravi & Peter Scholl

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  1. Claudio Orlandi
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  2. Divya Ravi
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  3. Peter Scholl
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Correspondence to Divya Ravi .

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Editors and Affiliations

  1. National Institute of Advanced Industrial Science and Technology (AIST), Tokyo, Japan

    Goichiro Hanaoka

  2. Yokohama National University, Yokohama, Japan

    Junji Shikata

  3. The University of Electro-Communications, Tokyo, Japan

    Yohei Watanabe

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Orlandi, C., Ravi, D., Scholl, P. (2022). On the Bottleneck Complexity of MPC with Correlated Randomness. In: Hanaoka, G., Shikata, J., Watanabe, Y. (eds) Public-Key Cryptography – PKC 2022. PKC 2022. Lecture Notes in Computer Science(), vol 13177. Springer, Cham. https://doi.org/10.1007/978-3-030-97121-2_8

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  • DOI: https://doi.org/10.1007/978-3-030-97121-2_8

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