Dumbo-MVBA: Optimal Multi-Valued Validated Asynchronous Byzantine Agreement, Revisited

Yuan Lu, Zhenliang Lu, Qiang Tang, Guiling Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Multi-valued validated asynchronous Byzantine agreement (MVBA), proposed in the elegant work of Cachin et al. (CRYPTO '01), is fundamental for critical fault-tolerant services such as atomic broadcast in the asynchronous network. It was left as an open problem to asymptotically reduce the O(ℓn2 + λn2 + n3) communication (where n is the number of parties, ℓ is the input length, and λ is the security parameter). Recently, Abraham et al. (PODC '19) removed the n3 term to partially answer the question when input is small. However, in other typical cases, e.g., building atomic broadcast through MVBA, the input length ℓ ≥ λn, and thus the communication is dominated by the ℓn2 term and the problem raised by Cachin et al. remains open. We fill the gap and answer the remaining part of the above open problem. In particular, we present two MVBA protocols with O(ℓn + λn2) communicated bits, which is optimal when ℓ ≥ λn. We also maintain other benefits including optimal resilience to tolerate up to n/3 adaptive Byzantine corruptions, optimal expected constant running time, and optimal O(n2) messages. At the core of our design, we propose asynchronous provable dispersal broadcast (APDB) in which each input can be split and dispersed to every party and later recovered in an efficient way. Leveraging APDB and asynchronous binary agreement, we design an optimal MVBA protocol, Dumbo-MVBA; we also present a general self-bootstrap framework Dumbo-MVBA∗to reduce the communication of any existing MVBA protocols.

Original languageEnglish (US)
Title of host publicationPODC 2020 - Proceedings of the 39th Symposium on Principles of Distributed Computing
PublisherAssociation for Computing Machinery
Pages129-138
Number of pages10
ISBN (Electronic)9781450375825
DOIs
StatePublished - Jul 31 2020
Event39th Symposium on Principles of Distributed Computing, PODC 2020 - Virtual, Online, Italy
Duration: Aug 3 2020Aug 7 2020

Publication series

NameProceedings of the Annual ACM Symposium on Principles of Distributed Computing

Conference

Conference39th Symposium on Principles of Distributed Computing, PODC 2020
Country/TerritoryItaly
CityVirtual, Online
Period8/3/208/7/20

All Science Journal Classification (ASJC) codes

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

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