Accountable Verifiable Secret Sharing and Applications

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Verifiable Secret Sharing (VSS) ensures consistent sharing and correct reconstruction, but does not identify the shareholders involved. Traceable Secret Sharing (TSS) expands secret sharing with two guarantees: $\textit{traceability}$, which identifies the makers of a reconstruction box through black-box queries; and $\textit{non-imputability}$, which prevents false accusations against honest shareholders. However, full traceability is practically expensive: existing Shamir-based schemes require