Error correcting codes, locally decodable codes, and a new resilient routing primitive allow O(1)-round simulation of Congested Clique rounds under per-node bounded-degree edge corruption.
Trading off $t$-Resilience for Efficiency in Asynchronous Byzantine Reliable Broadcast
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abstract
This paper presents a simple and efficient reliable broadcast algorithm for asynchronous message-passing systems made up of $n$ processes, among which up to $t<n/5$ may behave arbitrarily (Byzantine processes). This algorithm requires two communication steps and $n^2-1$ messages. When compared to Bracha's algorithm, which is resilience optimal ($t<n/3$) and requires three communication steps and $2n^2-n-1$ messages, the proposed algorithm shows an interesting tradeoff between communication efficiency and $t$-resilience.
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cs.DS 1years
2025 1verdicts
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All-to-All Communication with Mobile Edge Adversary: Almost Linearly More Faults, For Free
Error correcting codes, locally decodable codes, and a new resilient routing primitive allow O(1)-round simulation of Congested Clique rounds under per-node bounded-degree edge corruption.