### Round-Efficient Byzantine Agreement and Multi-Party Computation with Asynchronous Fallback

Giovanni Deligios, Martin Hirt, and Chen-Da Liu-Zhang

##### Abstract

Protocols for Byzantine agreement (BA) and secure multi-party computation (MPC) can be classified according to the underlying communication model. The two most commonly considered models are the synchronous one and the asynchronous one. Synchronous protocols typically lose their security guarantees as soon as the network violates the synchrony assumptions. Asynchronous protocols remain secure regardless of the network conditions, but achieve weaker security guarantees even when the network is synchronous. Recent works by Blum, Katz and Loss [TCC'19], and Blum, Liu-Zhang and Loss [CRYPTO'20] introduced BA and MPC protocols achieving security guarantees in both settings: security up to $t_s$ corruptions in a synchronous network, and up to $t_a$ corruptions in an asynchronous network, under the provably optimal threshold trade-offs $t_a \le t_s$ and $t_a + 2t_s < n$. However, current solutions incur a high synchronous round complexity when compared to state-of-the-art purely synchronous protocols. When the network is synchronous, the round complexity of BA protocols is linear in the number of parties, and the round complexity of MPC protocols also depends linearly on the depth of the circuit to evaluate. In this work, we provide round-efficient constructions for both primitives with optimal resilience: fixed-round and expected constant-round BA protocols, and an MPC protocol whose round complexity is independent of the circuit depth.

Available format(s)
Category
Cryptographic protocols
Publication info
A major revision of an IACR publication in TCC 2021
Keywords
Byzantine agreementmulti-party computationround-efficientasynchronous fallback
Contact author(s)
gdeligios @ inf ethz ch
chendaliu @ gmail com
hirt @ inf ethz ch
History
2022-01-30: revised
See all versions
Short URL
https://ia.cr/2021/1141

CC BY

BibTeX

@misc{cryptoeprint:2021/1141,
author = {Giovanni Deligios and Martin Hirt and Chen-Da Liu-Zhang},
title = {Round-Efficient Byzantine Agreement and Multi-Party Computation with Asynchronous Fallback},
howpublished = {Cryptology ePrint Archive, Paper 2021/1141},
year = {2021},
note = {\url{https://eprint.iacr.org/2021/1141}},
url = {https://eprint.iacr.org/2021/1141}
}

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