Share the MAYO: thresholdizing MAYO

Sofia Celi; Daniel Escudero; Guilhem Niot

Paper 2024/1960

Share the MAYO: thresholdizing MAYO

Sofia Celi

, Brave

Daniel Escudero, J.P. Morgan AI Research & J.P. Morgan AlgoCRYPT CoE

Guilhem Niot

, PQShield

Abstract

We present the first comprehensive study on thresholdizing practical OV-based signature schemes, specifically focusing on MAYO and UOV. Our approach begins by addressing the challenges associated with thresholdizing algorithms that sample solutions to linear equation systems of the form $Ax = y$, which are fundamental to OV-based signature schemes. Previous attempts have introduced levels of leakage that we deem insecure. We propose a novel minimum-leakage solution and assess its practicality. Furthermore, we explore the thresholdization of the entire functionality of these signature schemes, demonstrating their unique applications in networks and cryptographic protocols.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: Post-quantum threshold-cryptography multivariate-based cryptography
Contact author(s): cherenkov @ riseup net
daniel escudero @ protonmail com
guilhem @ gniot fr
History: 2024-12-06: approved; 2024-12-03: received; See all versions
Short URL: https://ia.cr/2024/1960
License: CC BY-SA

BibTeX

@misc{cryptoeprint:2024/1960,
      author = {Sofia Celi and Daniel Escudero and Guilhem Niot},
      title = {Share the {MAYO}: thresholdizing {MAYO}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1960},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1960}
}