[Resource Topic] 2024/1960: Share the MAYO: thresholdizing MAYO

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Title:
Share the MAYO: thresholdizing MAYO

Authors: Sofia Celi, Daniel Escudero, Guilhem Niot

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.

ePrint: https://eprint.iacr.org/2024/1960

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