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Byzantine Agreement (BA) is one of the most fundamental problems in distributed computing, and its communication complexity is an important efficiency metric. It is well known that quadratic communication is necessary for BA in the worst…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Atsuki Momose , Ling Ren

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

Byzantine agreement (BA) is a distributed consensus problem where $n$ processors want to reach agreement on an $\ell$-bit message or value, but up to $t$ of the processors are dishonest or faulty. The challenge of this BA problem lies in…

Information Theory · Computer Science 2021-01-01 Jinyuan Chen

This paper studies the message complexity of authenticated Byzantine agreement (BA) in synchronous, fully-connected distributed networks under an honest majority. We focus on the so-called {\em implicit} Byzantine agreement problem where…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Manish Kumar , Anisur Rahaman Molla

Achieving agreement among distributed parties is a fundamental task in modern systems, underpinning applications such as consensus in blockchains, coordination in cloud infrastructure, and fault tolerance in critical services. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Andrei Constantinescu , Marc Dufay , Anton Paramonov , Roger Wattenhofer

Byzantine broadcast (BB) and Byzantine agreement (BA) are two most fundamental problems and essential building blocks in distributed computing, and improving their efficiency is of interest to both theoreticians and practitioners. In this…

Cryptography and Security · Computer Science 2020-10-07 Kartik Nayak , Ling Ren , Elaine Shi , Nitin H. Vaidya , Zhuolun Xiang

Byzantine Agreement is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shir Cohen , Idit Keidar , Alexander Spiegelman

In Byzantine agreement with predictions each process begins with an input value and some (unreliable) prediction bits. Recently, it has been shown that with \emph{classification predictions} -- where the predictions predict each process to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Muhammad Ayaz Dzulfikar , Seth Gilbert

In this work, we study multivalued byzantine agreement (BA) in an asynchronous network of $n$ parties where up to $t < \frac{n}{3}$ parties are byzantine. We present a new reduction from multivalued BA to binary BA. It allows one to achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Mose Mizrahi Erbes , Roger Wattenhofer

Byzantine agreement (BA), the task of $n$ parties to agree on one of their input bits in the face of malicious agents, is a powerful primitive that lies at the core of a vast range of distributed protocols. Interestingly, in protocols with…

Cryptography and Security · Computer Science 2023-10-23 Elette Boyle , Ran Cohen , Aarushi Goel

Efficient asynchronous Byzantine agreement (BA) protocols were mostly studied with private setups, e.g., pre-setup threshold cryptosystem. Challenges remain to reduce the large communication in the absence of such setups. Recently, Abraham…

Cryptography and Security · Computer Science 2022-04-28 Yingzi Gao , Yuan Lu , Zhenliang Lu , Qiang Tang , Jing Xu , Zhenfeng Zhang

Byzantine reliable broadcast is a fundamental problem in distributed computing, which has been studied extensively over the past decades. State-of-the-art algorithms are predominantly based on the approach to share encoded fragments of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-06 Thomas Locher

Convex Agreement (CA) strengthens Byzantine Agreement (BA) by requiring the output agreed upon to lie in the convex hull of the honest parties' inputs. This validity condition is motivated by practical aggregation tasks (e.g., robust…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Marc Dufay , Diana Ghinea , Anton Paramonov

Quantum Byzantine Agreement (QBA), a cornerstone of quantum blockchain, offers inherent advantages in security and fault tolerance over classical protocols, guaranteed by the laws of quantum mechanics. However, existing multiparty QBA…

Quantum Physics · Physics 2026-02-13 Chen-Xun Weng , Ming-Yang Li , Shi-Gen Li , Mengya Zhu , Xiao-Ran Sun , Hua-Lei Yin , Zeng-Bing Chen

We exhibit that, when given a classical Byzantine agreement protocol designed in the private-channel model, it is feasible to construct a quantum agreement protocol that can effectively handle a full-information adversary. Notably, both…

Quantum Physics · Physics 2024-09-04 Longcheng Li , Xiaoming Sun , Jiadong Zhu

King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-04 Shir Cohen , Idit Keidar , Alexander Spiegelman

It is well known that without randomization, Byzantine agreement (BA) requires a linear number of rounds in the synchronous setting, while it is flat out impossible in the asynchronous setting. The primitive which allows to bypass the above…

Cryptography and Security · Computer Science 2023-12-25 Ran Cohen , Pouyan Forghani , Juan Garay , Rutvik Patel , Vassilis Zikas

Modular methods to transform Byzantine consensus protocols into ones that are fast and communication efficient in the common cases are presented. Small and short protocol segments called layers are custom designed to optimize performance in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Guy Goren , Yoram Moses

The multi-valued byzantine agreement protocol (MVBA) in the authenticated setting has been widely used as a core to design atomic broadcast and fault-tolerant state machine replication protocols in asynchronous networks. Originating from…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-21 Nasit S Sony , Xianzhong Ding

We prove lower bounds on the round complexity of randomized Byzantine agreement (BA) protocols, bounding the halting probability of such protocols after one and two rounds. In particular, we prove that: (1) BA protocols resilient against…

Cryptography and Security · Computer Science 2023-06-22 Ran Cohen , Iftach Haitner , Nikolaos Makriyannis , Matan Orland , Alex Samorodnitsky
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