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We consider the problem of approximate consensus in mobile networks containing Byzantine nodes. We assume that each correct node can communicate only with its neighbors and has no knowledge of the global topology. As all nodes have moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Chuanyou Li , Michel Hurfin , Yun Wang

Deterministic and probabilistic communication protocols are introduced in which parties can exchange the values of polynomials (rather than bits in the usual setting). It is established a sharp lower bound $2n$ on the communication…

Computational Complexity · Computer Science 2007-10-16 Dima Grigoriev

Privacy and Byzantine resilience (BR) are two crucial requirements of modern-day distributed machine learning. The two concepts have been extensively studied individually but the question of how to combine them effectively remains…

Machine Learning · Computer Science 2023-10-06 Rachid Guerraoui , Nirupam Gupta , Rafael Pinot , Sebastien Rouault , John Stephan

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed…

Quantum Physics · Physics 2011-11-09 Ashley Montanaro , Andreas Winter

We present a device-independent quantum scheme for the {\em Byzantine Generals} problem. The protocol is for three parties. Party $C$ is to send two identical one bit messages to parties $A$ and $B$. The receivers $A$ and $B$ may exchange…

Quantum Physics · Physics 2015-10-07 Ramij Rahaman , Marcin Wieśniak , Marek Żukowski

Private Information Retrieval (PIR) is a privacy-preserving primitive in cryptography. Significant endeavors have been made to address the variant of PIR concerning the malicious servers. Among those endeavors, list-decodable Byzantine…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

Consider a distributed system with $n$ processors out of which $f$ can be Byzantine faulty. In the approximate agreement task, each processor $i$ receives an input value $x_i$ and has to decide on an output value $y_i$ such that - the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Thomas Nowak , Joel Rybicki

This work performs an experimental evaluation of four asynchronous binary Byzantine consensus algorithms [11,16,18] in various configurations. In addition to being asynchronous these algorithms run in rounds, tolerate up to one third of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-24 Tyler Crain

We address the problem of Reliable Broadcast in asynchronous message-passing systems with $n$ nodes, of which up to $t$ are malicious (faulty), in addition to a message adversary that can drop some of the messages sent by correct…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-15 Timothé Albouy , Davide Frey , Ran Gelles , Carmit Hazay , Michel Raynal , Elad Michael Schiller , François Taïani , Vassilis Zikas

Randomized algorithm that achieves multi-valued Byzantine agreement with high probability, and achieves optimal complexity.

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-29 Guanfeng Liang , Nitin Vaidya

Byzantine Fault Tolerant (BFT) consensus protocols for dynamically available systems face a critical challenge: balancing latency and security in fluctuating node participation. Existing solutions often require multiple rounds of voting per…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-04 Pengkun Ren , Hai Dong , Zahir Tari , Pengcheng Zhang

The problem of designing distributed optimization algorithms that are resilient to Byzantine adversaries has received significant attention. For the Byzantine-resilient distributed optimization problem, the goal is to (approximately)…

Optimization and Control · Mathematics 2024-12-30 Kananart Kuwaranancharoen , Shreyas Sundaram

This paper studies the {\em good-case latency} of {\em unauthenticated} Byzantine fault-tolerant broadcast, which measures the time it takes for all non-faulty parties to commit given a non-faulty broadcaster. For both asynchrony and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Ittai Abraham , Ling Ren , Zhuolun Xiang

In the wake of the decisive impossibility result of Fischer, Lynch, and Paterson for deterministic consensus protocols in the aynchronous model with just one failure, Ben-Or and Bracha demonstrated that the problem could be solved with…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-08 Allison Lewko

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren

We study a framework for modeling distributed network systems assisted by a reliable and powerful cloud service. Our framework aims at capturing hybrid systems based on a point to point message passing network of machines, with the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-29 John Augustine , Jeffin Biju , Shachar Meir , David Peleg , Srikkanth Ramachandran , Aishwarya Thiruvengadam

We give a tight lower bound of Omega(\sqrt{n}) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communication complexity protocol of O(\log n) qubits for…

Quantum Physics · Physics 2007-05-23 Iordanis Kerenidis , Ran Raz

The problem of distributed optimization requires a group of agents to reach agreement on a parameter that minimizes the average of their local cost functions using information received from their neighbors. While there are a variety of…

Optimization and Control · Mathematics 2024-03-05 Kananart Kuwaranancharoen , Lei Xin , Shreyas Sundaram

Key agreement is a fundamental cryptographic primitive. It has been proved that key agreement protocols with security against computationally unbounded adversaries cannot exist in a setting where Alice and Bob do not have dependent…

Cryptography and Security · Computer Science 2016-04-14 Reihaneh Safavi-Naini , Pengwei Wang

Byzantine general problem is the core problem of the consensus algorithm, and many protocols are proposed recently to improve the decentralization level, the performance and the security of the blockchain. There are two challenging issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-09 Tzu-Wei Chao , Hao Chung , Po-Chun Kuo