
Briefing
The core problem of Maximal Extractable Value (MEV) is addressed by a significant improvement to Batched Threshold Encryption (BTE), a cryptographic primitive designed to create truly private mempools. This breakthrough allows a decentralized committee to perform a lightweight, threshold-based decryption on an arbitrary batch of transactions while guaranteeing the privacy of all other pending transactions. The most important implication is the creation of a provably fair transaction ordering mechanism, shifting the consensus layer from a centralized auction for block space to a cryptographically enforced, strategy-proof public good.

Context
Prior to this work, the primary theoretical challenge in mitigating MEV was the trade-off between transaction privacy and network liveness. Encrypted mempools, while conceptually sound, relied on cryptographic schemes that became computationally prohibitive or communication-heavy when dealing with the high throughput of modern blockchains, particularly for large batches of transactions. Existing Batched Threshold Encryption schemes, such as the initial BEAT-MEV proposal, were concretely efficient only for small to moderate batch sizes, preventing their deployment on high-volume Layer 1 or Layer 2 systems.

Analysis
The new BTE construction fundamentally alters the decryption process by optimizing the aggregation of decryption shares. The mechanism allows the committee of servers to collectively decrypt a chosen batch of ciphertexts using their secret shares, without revealing the individual shares or compromising the privacy of any unbatched ciphertexts. This is achieved through an improved key management and a more efficient linear combination of the cryptographic components. The core difference is the scheme’s ability to handle an arbitrary subset of transactions with communication and computation costs that remain practical even as the total mempool size grows, effectively decoupling the decryption overhead from the total transaction pool size.

Parameters
- Decryption Overhead Increase ∞ Less than 6% overhead. The marginal cost added to the process of transferring and verifying receipts for typical transaction sizes.
- Batch Decryption Complexity ∞ Logarithmic in the total mempool size. The scheme aims for complexity that grows slowly relative to the number of pending transactions.
- Privacy Guarantee ∞ Ciphertexts outside the batch remain private. A core security property ensuring that transactions not yet selected for a batch cannot be front-run.

Outlook
This foundational cryptographic improvement immediately enables the next generation of decentralized sequencers and transaction ordering protocols, moving MEV mitigation from theoretical models to production-ready systems. In the next 3-5 years, this technology will likely be integrated into all major Layer 2 rollups and modular execution layers, creating a new standard for transaction fairness. The research opens new avenues in threshold cryptography for dynamic committees and the formal verification of batch selection mechanisms to prevent committee collusion.

Verdict
This research provides the necessary cryptographic primitive to enforce transaction fairness, fundamentally transforming the economic security model of decentralized systems.
