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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→Vector Commitments

→Message Passing

→Consensus Protocols

Erasure Codes Achieve Near-Optimal Communication in Adversarial Reliable Broadcast

New MBRB algorithm uses erasure coding and vector commitments to slash broadcast communication cost, enabling scalable data availability layers.

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→Asynchronous Model

→Cryptographic Foundations

→Theoretical Computer Science

Adaptive Byzantine Agreement Achieves Optimal Communication Complexity with Few Faults

A new Byzantine Agreement protocol achieves optimal $O(n+t cdot f)$ adaptive communication complexity, scaling cost by actual faults, not maximum potential faults.

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→Information-Theoretic Security

→Fundamental Limits

→Asymptotic Optimality

Coded Byzantine Agreement Protocol Achieves Optimal Communication Complexity Bounds

New coded Byzantine Agreement protocol (COOL) achieves optimal resilience and asymptotically optimal communication complexity, fundamentally limiting distributed consensus costs.

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→Consensus Primitive

→Multi-Valued Agreement

→Constant Expected Rounds

Optimal Asynchronous Byzantine Agreement Achieves Minimum Communication Complexity

The new multi-valued Byzantine Agreement protocol achieves the theoretical minimum communication complexity, fundamentally improving decentralized system efficiency.

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→DAS Protocol

→No Trusted Setup

→Decentralized Systems

Zero-Overhead Data Availability Protocol Enables Trustless Scalability

ZODA introduces a tensor code-based proof of encoding that eliminates sampler communication overhead, fundamentally democratizing data availability verification for light nodes.

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→Economic Incentives

→Coordination Problem

→Distributed Systems

Mechanism Design Replaces BFT Voting for Faster Consensus

A novel Simultaneous Report Mechanism is proposed to replace costly BFT voting, limiting consensus communication to two nodes for faster, dispute-triggered coordination and improved network liveness.

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→Network Scalability

→Decentralized Architecture

→Distributed Systems

Sub-Quadratic Broadcast Protocol Re-Defines Dishonest-Majority BFT Communication

A new cryptographic broadcast protocol achieves sub-quadratic communication in dishonest-majority networks, fundamentally scaling BFT consensus.

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→Lattice Assumptions

→Distributed Key Generation

→Byzantine Fault Tolerance

Lattice-Based DKG Secures Asynchronous Systems against Quantum Threats

Research introduces LADKG, a post-quantum DKG protocol integrating AV3S and AACS to enable scalable, publicly verifiable threshold cryptography in asynchronous BFT networks.

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→Communication Complexity

→Asymptotic Optimality

→Optimal Resilience

Adaptive Byzantine Agreement Achieves Optimal Communication Complexity Based on Actual Faults

This new consensus protocol introduces adaptive communication complexity, scaling its message load to the actual fault count, which is asymptotically optimal for large-scale BFT systems.

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→Fault Tolerance

→Communication Complexity

→Distributed Systems

New Lower Bound Solidifies Quadratic Communication Barrier for Byzantine Consensus

This research proves that even randomized Byzantine Agreement protocols require quadratic communication complexity against adaptive adversaries, fundamentally limiting consensus scalability.

Communication Complexity

Erasure Codes Achieve Near-Optimal Communication in Adversarial Reliable Broadcast

Adaptive Byzantine Agreement Achieves Optimal Communication Complexity with Few Faults

Coded Byzantine Agreement Protocol Achieves Optimal Communication Complexity Bounds

Optimal Asynchronous Byzantine Agreement Achieves Minimum Communication Complexity

Zero-Overhead Data Availability Protocol Enables Trustless Scalability

Mechanism Design Replaces BFT Voting for Faster Consensus

Sub-Quadratic Broadcast Protocol Re-Defines Dishonest-Majority BFT Communication

Lattice-Based DKG Secures Asynchronous Systems against Quantum Threats

Adaptive Byzantine Agreement Achieves Optimal Communication Complexity Based on Actual Faults

New Lower Bound Solidifies Quadratic Communication Barrier for Byzantine Consensus

Incrypthos

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