Paper 2024/465

Shorter VOLEitH Signature from Multivariate Quadratic

Dung Bui, IRIF, Université Paris Cité, Paris, France
Abstract

The VOLE-in-the-Head paradigm, recently introduced by Baum et al. (Crypto 2023), is a compiler that uses SoftspokenOT (Crypto 2022) to transfer any VOLE-based designated verifier zero-knowledge protocol into a publicly verifiable zero-knowledge protocol. Together with the Fiat-Shamir transformation, a new digital signature scheme FAEST (faest.info) is proposed, and it outperforms all MPC-in-the-Head signatures. We propose a new candidate post-quantum signature scheme from the Multivariate Quadratic (MQ) problem in the VOLE-in-the-Head framework, which significantly reduces the signature size compared to previous works. We achieve a signature size ranging from 3.5KB to 6KB for the 128-bit security level. Compared to the state-of-the-art MQ-based signature schemes and existing VOLE-in-the-Head signatures, our scheme achieves the smallest signature size (1.5 to 2 times compared to MQ-based schemes) while keeping the computational efficiency competitive.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
Keywords
Code-based cryptographyDesign of Symmetric PrimitivesPost-Quantum CryptographySignature Schemes
Contact author(s)
bui @ irif fr
History
2024-05-10: revised
2024-03-19: received
See all versions
Short URL
https://ia.cr/2024/465
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/465,
      author = {Dung Bui},
      title = {Shorter {VOLEitH} Signature from Multivariate Quadratic},
      howpublished = {Cryptology ePrint Archive, Paper 2024/465},
      year = {2024},
      note = {\url{https://eprint.iacr.org/2024/465}},
      url = {https://eprint.iacr.org/2024/465}
}
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