From $\textsf{TS-SUF-2}$ to $\textsf{TS-SUF-4}$: Practical Security Enhancements for $\textsf{FROST2}$ Threshold Signatures

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Threshold signature schemes play a vital role in securing digital assets within blockchain and distributed systems. $\textsf{FROST2}$ stands out as a practical threshold Schnorr signature scheme, noted for its efficiency and compatibility with standard verification processes. However, under the one-more discrete logarithm assumption, with static corruption and centralized key generation settings, $\textsf{FROST2}$ has been shown by Bellare et al. (in CRYPTO 2022) to achieve only $\textsf{TS-SUF-