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Briefing

The fundamental challenge of maintaining transaction privacy in decentralized systems, particularly within the mempool, is the inefficiency of threshold decryption in batch-processing environments. This research introduces Batched Identity-Based Encryption (Batched IBE) , a novel cryptographic primitive that allows a set of authorities to collaboratively issue a single, succinct decryption key for a specific subset of encrypted data within a batch. The core breakthrough is a technique for public aggregation of identities into a succinct digest, which makes the cost of key issuance independent of the batch size, thereby eliminating the major communication and computation overhead associated with traditional threshold decryption schemes. This new primitive is instantiated using KZG polynomial commitments and a modified BLS signature scheme, providing a foundational mechanism for building truly scalable, privacy-preserving blockchain architectures where only included transactions are revealed, while all others remain cryptographically hidden.

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Context

The prevailing theoretical limitation for achieving mempool privacy, where transactions are encrypted until block inclusion, lies in the scalability of existing threshold decryption protocols. Traditional Identity-Based Encryption (IBE) requires authorities to individually process and contribute to the decryption of every single transaction, leading to communication and computation costs that scale linearly with the batch size (i.e. the number of transactions in a block). This linear scaling is prohibitive for high-throughput blockchain architectures, creating a bottleneck that forces a trade-off between transaction privacy and network scalability. The challenge was to design a system where the cryptographic overhead for the authorities remains constant, regardless of the volume of batched, encrypted data.

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Analysis

The paper’s core mechanism, Batched IBE, fundamentally shifts the cost model of threshold decryption by introducing a public aggregation step. Instead of authorities collectively decrypting each ciphertext, a designated entity first publicly aggregates the identities of all transactions to be decrypted (e.g. all transactions included in a block) into a single, succinct digest. This aggregation process does not require any secret information. The authorities then use their individual secret shares to collaboratively derive a single, succinct decryption key corresponding to this digest.

This key is capable of decrypting all ciphertexts associated with the aggregated identities in the batch. The key innovation is the use of KZG polynomial commitments to create the succinct digest, ensuring that the final decryption key’s size and the authorities’ communication overhead are independent of the total number of batched transactions.

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Parameters

  • Key Issuance Cost ∞ Cost for authorities is independent of the batch size. This is the critical metric proving the scheme’s scalability for high-throughput environments.
  • Cryptographic FoundationKZG polynomial commitment scheme. Used to create the succinct, publicly verifiable digest of identities.
  • Security Model ∞ Proven secure in the generic group model (GGM). Establishes the formal, mathematical security guarantee of the construction.
  • Primary ApplicationMempool privacy. The mechanism ensures only transactions included in the block are revealed, hiding all others.

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Outlook

This new Batched IBE primitive establishes a foundational building block for the next generation of privacy-centric decentralized applications. In the next three to five years, this mechanism will likely be integrated into Layer 1 and Layer 2 sequencing protocols to provide provable mempool privacy, significantly mitigating front-running and Maximal Extractable Value (MEV) risk by obscuring transaction order flow until final inclusion. Beyond general transaction privacy, the technology unlocks scalable support for advanced cryptographic applications, including secure Dutch auctions, privacy-preserving options trading, and multi-party computation (MPC) where a dishonest majority is tolerated, by ensuring the efficiency of conditional, batched threshold decryption.

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Verdict

The introduction of Batched Identity-Based Encryption is a major theoretical advance that resolves the fundamental scalability bottleneck for implementing practical, batch-based cryptographic privacy on decentralized systems.

Batched Identity Based Encryption, Threshold Cryptography Scaling, Succinct Decryption Keys, Mempool Privacy Protocol, Selective Decryption Mechanism, Public Aggregation Technique, KZG Polynomial Commitments, BLS Signature Scheme Modification, Generic Group Model Security, Communication Overhead Reduction, Block Transaction Privacy, On-Chain Auction Security, Privacy Preserving Trading, Dishonest Majority MPC, Batch-Independent Key Issuance Signal Acquired from ∞ IACR ePrint Archive

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kzg polynomial commitments

Definition ∞ KZG Polynomial Commitments are a cryptographic primitive allowing a prover to commit to a polynomial in a concise manner and later provide a short proof that the polynomial evaluates to a specific value at a given point.

identity-based encryption

Definition ∞ Identity-based encryption is a cryptographic system where a recipient's public key is derived directly from their identifying attributes, such as their name or email address.

succinct decryption key

Definition ∞ A succinct decryption key is a cryptographic key that is exceptionally small in size, regardless of the amount of data it can decrypt or the number of associated encryption keys.

communication overhead

Definition ∞ Communication overhead refers to the additional resources, such as time, bandwidth, or computational power, required for different parts of a system to interact and exchange information.

scalability

Definition ∞ Scalability denotes the capability of a blockchain network or decentralized application to process a growing volume of transactions efficiently and cost-effectively without compromising performance.

kzg

Definition ∞ KZG refers to the Kate-Zaverucha-Goldberg polynomial commitment scheme, a cryptographic primitive used in zero-knowledge proofs and data availability sampling.

generic group model

Definition ∞ The Generic Group Model is a theoretical framework employed in cryptography to analyze the security of cryptographic protocols.

mempool privacy

Definition ∞ Mempool privacy refers to the protection of information about pending transactions within a cryptocurrency network's mempool before they are confirmed and added to a block.

threshold decryption

Definition ∞ Threshold decryption is a cryptographic technique where a ciphertext can only be decrypted if a predetermined number of participants, exceeding a specific threshold, cooperate by combining their partial decryption keys.

decentralized systems

Definition ∞ Decentralized Systems are networks or applications that operate without a single point of control or failure, distributing authority and data across multiple participants.