Paper 2023/1364 Original: eprint.iacr.org/2023/1364 ↗

Convex Consensus with Asynchronous Fallback

Andrei Constantinescu
Diana Ghinea
Roger Wattenhofer
Floris Westermann
Abstract

Convex Consensus (CC) allows a set of parties to agree on a value $v$ inside the convex hull of their inputs with respect to a predefined abstract convexity notion, even in the presence of byzantine parties. In this work, we focus on achieving CC in the best-of-both-worlds paradigm, i.e., simultaneously tolerating at most $t_s$ corruptions if communication is synchronous, and at most $t_a \leq t_s$ corruptions if it is asynchronous. Our protocol is randomized, which is a requirement under asynchrony, and we prove that it achieves optimal resilience. In the process, we introduce communication primitives tailored to the network-agnostic model. These are a deterministic primitive allowing parties to obtain intersecting views (Gather), and a randomized primitive leading to identical views (Agreement on a Core-Set). Our primitives provide stronger guarantees than previous counterparts, making them of independent interest.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2024-10-23: last updated
2023-09-12: published
Short URL
https://ia.cr/2023/1364
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2023/1364,
      author = {Andrei Constantinescu and Diana Ghinea and Roger Wattenhofer and Floris Westermann},
      title = {Convex Consensus with Asynchronous Fallback},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1364},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1364}
}
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