
Briefing
The core research problem in high-performance distributed systems is the quadratic communication overhead inherent in classical synchronous Byzantine Fault Tolerance (BFT) protocols, which severely limits throughput scaling. This paper introduces Hamster, a novel synchronous BFT protocol that employs advanced coding techniques to fundamentally restructure message propagation, achieving a near-optimal O(mn) total communication complexity where n is the number of nodes and m is the block size. This foundational breakthrough ensures that the protocol’s throughput gain scales linearly with the number of nodes, significantly mitigating the leader-node communication bottleneck and paving the way for highly scalable, resilient blockchain architectures.

Context
Prior to this work, state-of-the-art synchronous BFT protocols, exemplified by Sync HotStuff, were constrained by a total communication complexity of O(mn2), where every node must potentially communicate with every other node for block commitment. This established theoretical limitation created a quadratic bottleneck, preventing large-scale validator sets from maintaining high transaction throughput and forcing reliance on a strong, often brittle, synchronous network assumption to guarantee liveness.

Analysis
Hamster’s core mechanism re-engineers the block dispersal and commitment process by integrating coding techniques directly into the protocol’s communication structure. The leader uses erasure coding to split the block content into coded fragments, which are then distributed to the validator set. Nodes verify the block’s content and commit using these fragments, which allows the protocol to achieve block commitment with a total communication complexity that is asymptotically near-optimal, only a linear factor O(n) away from the theoretical minimum. This approach fundamentally differs from previous methods by balancing the communication load across all nodes, removing the single point of failure and bottleneck associated with the leader.

Parameters
- Communication Complexity ∞ O(mn) (The protocol’s total system communication for a block of size m with n nodes, which is a linear improvement over the O(mn2) of Sync HotStuff).
- Throughput Gain ∞ O(n) (The maximum throughput gain compared to Sync HotStuff in bandwidth-limited environments, demonstrating linear scaling with the number of nodes).

Outlook
The immediate next step involves real-world testing of Hamster to fully characterize the flexible trade-off between throughput and latency by adjusting block size. In the long term, this work opens a critical new avenue of research into generalized coded BFT protocols, demonstrating that cryptographic coding primitives can be used to dramatically lower the communication floor for distributed consensus. This theoretical foundation could enable future high-throughput, low-latency Layer 1 and Layer 2 sequencing solutions capable of scaling performance linearly with the size of their decentralized validator set.

Verdict
This research delivers a fundamental architectural improvement to Byzantine Fault Tolerance, establishing a new communication complexity benchmark for high-performance decentralized consensus.
