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Paper 2020/963

From Partial to Global Asynchronous Reliable Broadcast

Diana Ghinea and Martin Hirt and Chen-Da Liu-Zhang

Abstract

Broadcast is a fundamental primitive in distributed computing. It allows a sender to consistently distribute a message among $n$ recipients. The seminal result of Pease et al. [JACM'80] shows that in a complete network of synchronous bilateral channels, broadcast is achievable if and only if the number of corruptions is bounded by $t < n/3$. To overcome this bound, a fascinating line of works, Fitzi and Maurer [STOC'00], Considine et al. [JC'05] and Raykov [ICALP'15], proposed strengthening the communication network by assuming partial synchronous broadcast channels, which guarantee consistency among a subset of recipients. We extend this line of research to the asynchronous setting. We consider reliable broadcast protocols assuming a communication network which provides each subset of $b$ parties with reliable broadcast channels. A natural question is to investigate the trade-off between the size $b$ and the corruption threshold $t$. We answer this question by showing feasibility and impossibility results: 1) A reliable broadcast protocol that: For $3 \le b \le 4$, is secure up to $t < n/2$ corruptions; For $b > 4$ even, is secure up to $t < \left(\frac{b-4}{b-2} n + \frac{8}{b-2}\right)$ corruptions; For $b > 4$ odd, is secure up to $t < \left(\frac{b-3}{b-1} n + \frac{6}{b-1}\right)$ corruptions. 2) A nonstop reliable broadcast, where parties are guaranteed to obtain output as in reliable broadcast but may need to run forever, secure up to $t < \frac{b-1}{b+1} n$ corruptions. 3) There is no protocol for (nonstop) reliable broadcast secure up to $t \ge \frac{b-1}{b+1} n$ corruptions, implying that the reliable broadcast protocol is asymptotically optimal, and the nonstop reliable broadcast protocol is optimal.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. DISC'20
Keywords
reliable broadcastpartial broadcast
Contact author(s)
lichen @ inf ethz ch
History
2020-08-11: received
Short URL
https://ia.cr/2020/963
License
Creative Commons Attribution
CC BY
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