
Briefing
The foundational problem of Maximal Extractable Value (MEV) arises from the public nature of pending transactions, allowing block proposers to exploit transaction ordering for profit, which fundamentally centralizes the infrastructure layer. This research proposes a breakthrough cryptographic solution, BEAT-MEV , a novel Batched Threshold Encryption (BTE) scheme that achieves an epochless approach with silent setup , eliminating the prohibitive multi-party computation (MPC) required by prior BTE constructions for every batch decryption. The mechanism allows users to encrypt transactions to a committee that can only decrypt a selected batch after the block is finalized, thereby ensuring transactions outside the batch remain private and the final order is shielded from manipulation. This new theoretical construction provides the necessary cryptographic efficiency and practicality to deploy truly private mempools at scale, fundamentally restoring fair transaction ordering and decentralization to the consensus layer.

Context
The prevailing theoretical limitation in mitigating MEV through cryptographic means was the practical cost of the underlying primitives. Specifically, early proposals for private mempools utilized Threshold Encryption, where a committee decrypts transactions after a block is finalized. The refinement of this, Batched Threshold Encryption (BTE), ensured that only transactions included in the block were decrypted, preserving the privacy of pending transactions in the mempool.
However, prior BTE schemes required a recurring, resource-intensive setup phase ∞ often a costly Distributed Key Generation (DKG) or MPC protocol ∞ for every new decryption epoch or block, rendering them impractical for the high-throughput, low-latency demands of major blockchain networks. This high operational overhead created a critical barrier to the real-world deployment of cryptographically-enforced order fairness.

Analysis
The core mechanism of BEAT-MEV fundamentally addresses the scalability challenge of BTE by introducing an epochless design with a silent setup. The foundational idea is to decouple the committee’s key generation from the transaction batching process. In this new scheme, the committee members can non-interactively and adaptively generate their key shares, eliminating the need for a costly, synchronous MPC setup for each block. Users encrypt their transactions using a standard public key.
When a block proposer selects a batch of encrypted transactions, the committee members (e.g. validators) jointly generate a short decryption key ∞ a single group element ∞ for only that specific batch. The use of silent setup encryption techniques ensures that the communication complexity for the committee to decrypt a batch of B transactions remains constant, O(n), and is independent of the batch size B, a crucial efficiency gain that makes the entire system viable for high-volume transaction processing.

Parameters
- Encryption Latency ∞ < 2 ms. The time required for a user to encrypt a transaction is extremely low, ensuring a seamless user experience.
- Decryption Time ∞ < 440 ms for decrypting 512 transactions. This demonstrates practical performance for a typical block size on standard hardware.
- Ciphertext Overhead ∞ < 200 bytes per ciphertext. This minimal overhead ensures low on-chain data costs, a critical metric for blockchain economics.
- Partial Decryption Size ∞ One group element (48 bytes). The communication size for each committee member’s decryption share is minimal and constant, enabling the low communication complexity.

Outlook
The realization of a practical, epochless Batched Threshold Encryption scheme opens new avenues for scalable, private decentralized applications, particularly in the realm of decentralized finance (DeFi). In the next three to five years, this primitive is expected to become a core building block for L1 and L2 architectures that mandate strong order-fairness guarantees, moving beyond heuristic MEV mitigation to provable cryptographic security. Future research will focus on integrating this primitive into existing consensus protocols, exploring its application in private auction mechanisms, and formally analyzing its security in the context of dynamic committee membership and adaptive corruption models, pushing the frontier of cryptoeconomic security.

Verdict
The BEAT-MEV protocol represents a critical, practical advancement in cryptographic mechanism design, providing the necessary efficiency to transition from theoretical MEV mitigation to cryptographically-enforced, fair transaction ordering at the foundational layer.
