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Brief Announcement
Brief Announcement: Single-Round Broadcast: Impossibility, Feasibility, and More

Authors: Zhelei Zhou, Bingsheng Zhang, Hong-Sheng Zhou, and Kui Ren

Published in: LIPIcs, Volume 356, 39th International Symposium on Distributed Computing (DISC 2025)


Abstract
Broadcast is a fundamental primitive that plays an important role in secure Multi-Party Computation (MPC) area. In this work, we revisit the broadcast with selective abort (hereafter, short for broadcast) proposed by Goldwasser and Lindell (DISC 2002; JoC 2005) and study the round complexity of broadcast under different setup assumptions. Our findings are summarized as follows: - We formally prove that 1-round broadcast is impossible under various widely-used setup assumptions (e.g., plain model, random oracle model, and common reference string model, etc.), even if we consider the static security and the stand-alone framework. More concretely, we formalize a notion called consistent oracle to capture these setups, and prove that our impossibility holds under the consistent oracle. Our impossibility holds in both honest majority setting and dishonest majority setting. - We show that 1-round broadcast protocol is possible in the Universal Composition (UC) framework, by assuming stateful trusted hardwares. Our protocol can be proven secure against all-but-one adaptive and malicious corruptions. We bypass our impossibility result since our stateful trusted hardwares do not satisfy the definition of consistent oracle. - We provide an application of 1-round broadcast: we construct the first 1-round multiple-verifier zero-knowledge (which is a special case of MPC) protocol, without assuming the broadcast hybrid world.

Cite as

Zhelei Zhou, Bingsheng Zhang, Hong-Sheng Zhou, and Kui Ren. Brief Announcement: Single-Round Broadcast: Impossibility, Feasibility, and More. In 39th International Symposium on Distributed Computing (DISC 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 356, pp. 66:1-66:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)


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@InProceedings{zhou_et_al:LIPIcs.DISC.2025.66,
  author =	{Zhou, Zhelei and Zhang, Bingsheng and Zhou, Hong-Sheng and Ren, Kui},
  title =	{{Brief Announcement: Single-Round Broadcast: Impossibility, Feasibility, and More}},
  booktitle =	{39th International Symposium on Distributed Computing (DISC 2025)},
  pages =	{66:1--66:7},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-402-4},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{356},
  editor =	{Kowalski, Dariusz R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2025.66},
  URN =		{urn:nbn:de:0030-drops-248838},
  doi =		{10.4230/LIPIcs.DISC.2025.66},
  annote =	{Keywords: Broadcast, Security with abort, Round optimality}
}
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