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Created page with "Title: Broadcast Research Question: How many parties are necessary and sufficient for implementing a reliable broadcast in a network with faulty majorities? Methodology: The researchers used a mathematical approach to analyze the problem. They started with the existing literature on Byzantine Agreement, which simulates broadcast in a network with faulty parties. They then explored the possibility of implementing broadcast with fewer compliant parties, using wider chann..."
 
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Title: Broadcast
Title: Broadcast


Research Question: How many parties are necessary and sufficient for implementing a reliable broadcast in a network with faulty majorities?
Research Question: How many parties are needed to broadcast a message reliably, even in the presence of faulty parties?


Methodology: The researchers used a mathematical approach to analyze the problem. They started with the existing literature on Byzantine Agreement, which simulates broadcast in a network with faulty parties. They then explored the possibility of implementing broadcast with fewer compliant parties, using wider channels.
Methodology: The researchers used a mathematical approach to analyze the problem. They considered different scenarios with varying numbers of compliant and faulty parties, and studied the conditions under which reliable broadcast could be achieved.


Results: The researchers proved that a ⌊2n/h⌋party channel is necessary and sufficient for implementing n-party broadcast with hcompliant parties. This means that a certain number of parties are required to reliably broadcast information to the rest of the network, even in the presence of faulty majorities.
Results: The researchers found that 2f < kh is a necessary and sufficient condition for implementing broadcast with h compliant and f faulty parties using k-cast channels. This means that if the number of faulty parties is less than half of the number of compliant parties, then reliable broadcast can be achieved using k-cast channels.


Implications: This research has important implications for the field of distributed computing. It provides a clear understanding of the minimum number of parties needed to reliably broadcast information, even in the presence of faulty majorities. This can help in the design of more efficient and reliable distributed computing systems. Additionally, it contributes to the ongoing research in the area of fault-tolerant protocols, which are crucial for ensuring the reliability and security of computer networks.
Implications: This research has important implications for the design of reliable distributed systems. It shows that even in the presence of faulty parties, reliable broadcast can be achieved using a limited number of channels. This could lead to more efficient and robust system designs.


Link to Article: https://arxiv.org/abs/0012024v3
Link to Article: https://arxiv.org/abs/0012024v4
Authors:  
Authors:  
arXiv ID: 0012024v3
arXiv ID: 0012024v4


[[Category:Computer Science]]
[[Category:Computer Science]]

Latest revision as of 01:49, 24 December 2023

Title: Broadcast

Research Question: How many parties are needed to broadcast a message reliably, even in the presence of faulty parties?

Methodology: The researchers used a mathematical approach to analyze the problem. They considered different scenarios with varying numbers of compliant and faulty parties, and studied the conditions under which reliable broadcast could be achieved.

Results: The researchers found that 2f < kh is a necessary and sufficient condition for implementing broadcast with h compliant and f faulty parties using k-cast channels. This means that if the number of faulty parties is less than half of the number of compliant parties, then reliable broadcast can be achieved using k-cast channels.

Implications: This research has important implications for the design of reliable distributed systems. It shows that even in the presence of faulty parties, reliable broadcast can be achieved using a limited number of channels. This could lead to more efficient and robust system designs.

Link to Article: https://arxiv.org/abs/0012024v4 Authors: arXiv ID: 0012024v4