Paper 2023/038

On the Amortized Communication Complexity of Byzantine Broadcast

Atsuki Momose, University of Illinois Urbana-Champaign
Ling Ren, University of Illinois Urbana-Champaign
Elaine Shi, Carnegie Mellon University
Jun Wan, Massachusetts Institute of Technology
Zhuolun Xiang, Aptos
Abstract

Designing an efficient solution for Byzantine broadcast is an important problem for many distributed computing and cryptographic tasks. There have been many attempts to achieve sub-quadratic communication complexity in several directions, both in theory and practice, all with pros and cons. This paper initiates the study of another attempt: improving the amortized communication complexity of multi-shot Byzantine broadcast. Namely, we try to improve the average cost when we have sequential multiple broadcast instances. We present a protocol that achieves optimal amortized linear complexity under an honest majority. Our core technique is to efficiently form a network for disseminating the sender's message by keeping track of dishonest behaviors over multiple instances. We also generalize the technique for the dishonest majority to achieve amortized quadratic communication complexity.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
Keywords
ConsensusByzantineBlockchain
Contact author(s)
atsuki momose @ gmail com
renling @ illinois edu
runting @ gmail com
junwan @ mit edu
xiangzhuolun @ gmail com
History
2023-01-19: approved
2023-01-11: received
See all versions
Short URL
https://ia.cr/2023/038
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2023/038,
      author = {Atsuki Momose and Ling Ren and Elaine Shi and Jun Wan and Zhuolun Xiang},
      title = {On the Amortized Communication Complexity of Byzantine Broadcast},
      howpublished = {Cryptology ePrint Archive, Paper 2023/038},
      year = {2023},
      note = {\url{https://eprint.iacr.org/2023/038}},
      url = {https://eprint.iacr.org/2023/038}
}
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