Communication Complexity

Definition ∞ Communication complexity quantifies the amount of information exchanged between parties to compute a function. This theoretical concept measures the minimum number of bits required for distributed computational tasks, assuming unlimited local computation. In blockchain and distributed systems, it assesses the efficiency of protocols where nodes must coordinate and share data. Lower communication complexity indicates greater scalability and reduced network overhead.
Context ∞ Within blockchain technology, communication complexity is a vital factor in designing scalable and efficient decentralized protocols. Researchers actively seek methods to minimize data exchange between nodes without compromising security or consensus accuracy. This is particularly relevant for layer-2 solutions and sharding architectures aiming to process more transactions. Future advancements in zero-knowledge proofs and other cryptographic techniques hold promise for reducing this computational burden.

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→Optimistic Environments

→Asymptotic Security

→Frontrunning Mitigation

Dual Encryption Scheme Secures Transaction Privacy and Consensus Efficiency

A novel dual encryption scheme maintains transaction confidentiality while achieving optimal communication complexity, resolving the MEV-resistance efficiency trade-off.

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→Consensus Security

→High-Throughput Protocols

→Succinct Proof Systems

Linear-Time BFT Achieves Optimal Communication Complexity with Aggregate Signatures

A novel aggregate signature scheme compresses BFT agreement from quadratic to linear complexity, enabling scalable, high-throughput decentralized consensus.

→Verifiable Secret Sharing

→Share Consistency

→Communication Complexity

Efficient Verifiable Secret Sharing Secures Distributed BFT Systems

A new BFT-integrated Verifiable Secret Sharing scheme radically lowers cryptographic overhead and eliminates adaptive share delay attacks, securing decentralized computation.

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→Fault Detection

→Threshold Cryptography

→Asynchronous Agreement

Dynamic Quorum Consensus Decouples BFT Security and Liveness Overhead

Adaptive Threshold Consensus dynamically adjusts finality quorums, radically minimizing communication complexity for highly decentralized BFT networks.

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→Liveness and Safety

→Fault Tolerance

→Provable Broadcast

Prioritized Broadcast Slashes Asynchronous Consensus Communication Complexity.

A committee-based prioritized broadcast protocol cuts Byzantine consensus communication costs by $O(n)$, unlocking scalable asynchronous state replication.

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→Post-Quantum Cryptography

→Verifiable Data Integrity

→Succinct Proofs

Ring Learning with Rounding Unlocks Efficient Post-Quantum Zero-Knowledge

A new ZKP of Knowledge based on the Ring Learning with Rounding assumption delivers post-quantum security with drastically reduced proof size and verification latency.

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→Round Complexity

→Fault Resilience

→Distributed Ledger

DAG-Based BFT Protocol Achieves Optimal Latency without Common Primitives

This novel DAG-based BFT protocol achieves optimal three-round latency by eliminating reliable broadcast and common coin primitives, paving the way for hyper-efficient decentralized systems.

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→Asynchronous Systems

→Hybrid System Model

→Distributed Systems

Hybrid Synchronous Model Unlocks Optimal Low-Latency Byzantine Fault Tolerance

A new BFT protocol leverages a hybrid synchrony model to achieve up to 15x lower latency, preserving high fault tolerance for scalable decentralized systems.

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→Scalable Computation

→Distributed Systems

→Cryptographic Primitive

Batch Zero-Knowledge BFT Achieves Scalable Private Federated Learning Consensus

Batch Zero-Knowledge Proofs are integrated into BFT consensus, cutting communication complexity to $O(n)$ and enabling scalable, private decentralized AI.

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→Multi-Party Computation

→Cryptographic Primitive

→Optimal Fault Tolerance

Simplified Verifiable Secret Sharing Achieves Optimal Fault Tolerance and Efficiency

New VSS protocols fundamentally simplify the cryptographic primitive, enabling optimally fault-tolerant, publicly verifiable distributed systems with 90% less bandwidth.