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Briefing

A core problem in blockchain-based sensor networks is the inefficiency of zero-knowledge set membership proofs, a critical challenge given the resource-constrained nature of IoT devices. This research proposes a novel OR-aggregation approach for zero-knowledge set membership proofs, specifically engineered to minimize computational overhead and data size on these devices. This foundational breakthrough significantly improves proof size, generation time, and verification efficiency, which is the necessary condition for unlocking truly scalable and privacy-preserving data management in large-scale decentralized IoT ecosystems.

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Context

The established theoretical challenge in applying zero-knowledge proofs to decentralized systems is the computational cost, which is exacerbated in resource-constrained environments like blockchain-based sensor networks. Proving that a data point belongs to a set (set membership) without revealing the data point itself is a fundamental privacy requirement, yet existing cryptographic methods for this task generate proofs that are too large and require too much computation time for low-power IoT devices. This theoretical limitation has prevented the widespread adoption of privacy-preserving, verifiable data collection in the most critical edge-computing applications.

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Analysis

The paper’s core mechanism is the OR-aggregation technique, which fundamentally restructures the zero-knowledge proof circuit for set membership. Conceptually, a standard set membership proof requires proving membership against every element in the set, a process that scales linearly with the set size. The OR-aggregation approach transforms this requirement by creating a single, succinct proof that logically aggregates the individual proofs for each element using a cryptographic “OR” gate.

This aggregation allows the prover to demonstrate that their secret input satisfies at least one of the set’s conditions, collapsing the proof’s complexity from a large, composite structure into a single, compact unit. This architectural shift drastically reduces the computational load on the sensor network’s devices.

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Parameters

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Outlook

This OR-aggregation primitive establishes a new benchmark for cryptographic efficiency in low-power computing environments. Over the next three to five years, this work will likely unlock a new category of real-world applications, including privacy-preserving supply chain tracking, secure medical data sharing from wearable devices, and verifiable autonomous systems where data integrity is paramount but computational resources are minimal. The research opens new avenues for exploring further cryptographic aggregation techniques to make complex zero-knowledge statements practical on commodity hardware, accelerating the integration of verifiable computation into the physical world.

The OR-aggregation approach is a critical cryptographic primitive that resolves the fundamental efficiency conflict between zero-knowledge privacy and resource-constrained decentralized architecture.

zero knowledge set membership, OR aggregation proof, resource constrained devices, blockchain sensor networks, verifiable data management, proof size reduction, computation efficiency, cryptographic primitive, privacy preserving solution, IoT ecosystems, scalable verification, non interactive proof, zero knowledge application, data transparency, secure data sharing Signal Acquired from ∞ arxiv.org

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