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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→Point-To-Point Networks

→Protocol Optimization

→Communication Complexity

Optimizing Communication for Secure Multi-Party Computation with Aborts

New protocols drastically reduce communication overhead in secure multi-party computation with selective aborts, enhancing practicality for decentralized applications.

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→Trapdoor Hashing

→Laconic Function Evaluation

→Oblivious Tensor Evaluation

Succinct Oblivious Tensor Evaluation Unlocks Efficient Adaptive Cryptographic Primitives

A novel succinct oblivious tensor evaluation primitive, secured by Learning With Errors, enables adaptively-secure laconic function evaluation and optimal trapdoor hashing, advancing private verifiable computation.

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→Security Parameter

→Byzantine Fault

→Probabilistic Consensus

QScale: Probabilistic Chained Consensus for Moderate-Scale Systems

QScale introduces a novel probabilistic chained consensus, significantly reducing communication overhead for distributed ledgers at moderate scales.

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→Asynchronous Byzantine Agreement

→Asynchronous Network

→Fault Tolerance

Prioritized Committee Mechanism Achieves Optimal Asynchronous Byzantine Agreement Complexity

A new committee-based protocol achieves simultaneous optimal time, message, and communication complexity for foundational asynchronous consensus.

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→Distributed Consensus

→Batching Techniques

→Byzantine Fault Tolerance

Lightweight Asynchronous Secret Sharing Achieves Optimal Resilience and Efficiency

New protocols for Asynchronous Verifiable Secret Sharing (AVSS) leverage lightweight primitives to achieve optimal resilience and amortized linear communication, fundamentally accelerating BFT consensus.

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→Byzantine Agreement Protocol

→Distributed Systems Theory

→Consensus Design Space

Consensus Randomness Trilemma Bounds Efficiency, Adaptive Security, and Entropy Cost

A new trilemma proves that efficient, adaptively secure consensus requires a logarithmic lower bound on public randomness consumption, fundamentally limiting design space.

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→Byzantine Agreement

→Cryptographic Coin-Tossing

→Fault Tolerance

Optimal Asynchronous Byzantine Agreement Achieves Quadratic Communication Efficiency

A novel committee-based protocol reduces asynchronous Byzantine agreement communication from cubic to quadratic, enabling practical fault-tolerant state machine replication.

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→Liveness Guarantee

→Cryptographic Coin-Tossing

→Fault Tolerance Bound

Committee-Based Byzantine Agreement Protocol Slashes Communication Complexity

A novel committee-based protocol achieves optimal asynchronous Byzantine agreement, drastically reducing cubic communication overhead.

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→Optimal Efficiency

→Distributed Systems Theory

→Asynchronous Consensus Protocol

Signature-Free Asynchronous Byzantine Agreement Achieves Optimal Communication Complexity

This new signature-free asynchronous Byzantine agreement protocol achieves the theoretical optimal communication complexity for unauthenticated consensus.

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→BFT Protocols

→Optimal Overhead

→Consensus Delay

Buffer Mechanism Enables Generic Sharding Consensus with Optimal Overhead

A jointly managed buffer and batch certification enable atomic cross-shard transactions with optimal overhead, creating a universal BFT sharding framework.