Share the MAYO: thresholdizing MAYO
Sofía Celi (Brave Software), Daniel Escudero (J.P. Morgan AI Research & J.P. Morgan AlgoCRYPT CoE), Guilhem Niot (PQShield, Univ Rennes, CNRS, IRISA) | Security, Cryptography
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.
