CryptoDB
Relaxed Vector Commitment for Shorter Signatures
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| Conference: | EUROCRYPT 2025 |
| Abstract: | MPC-in-the-Head (MPCitH) has recently gained traction as a foundation for post-quantum signature schemes, offering robust security without trapdoors. Despite its strong security profile, MPCitH-based schemes suffer from high computational overhead and large signature sizes, limiting their practical application. This work addresses these inefficiencies by relaxing vector commitments within MPCitH-based schemes. We introduce the concept of vector semi-commitment, which relaxes the binding property of traditional vector commitment. Vector semi-commitment schemes may allow an adversary to find more than one preimage of a commitment. We instantiate vector semi-commitment schemes in both the random oracle model and the ideal cipher model, leveraging recent optimizations on GGM tree such as correlated GGM tree. We apply the ideal-cipher-based vector semi-commitment scheme to the BN++ signature scheme and prove it almost fully secure in the ideal cipher model. Implementing these improvements in the AIMer v2.0 signature scheme, we achieve up to 18% shorter signatures and up to 112% faster signing and verification speeds, setting new benchmarks for MPCitH-based schemes. |
BibTeX
@inproceedings{eurocrypt-2025-35134,
title={Relaxed Vector Commitment for Shorter Signatures},
publisher={Springer-Verlag},
author={Seongkwang Kim and Byeonghak Lee and Mincheol Son},
year=2025
}