Threshold Signatures

Signature schemes distributed across multiple signers under a corruption threshold.

Status Statement Tags
1+1 adaptively secure lattice threshold signature
Resolved. Oriole (Jiang, Wee, Zhu, ePrint 2026/793, posted April 2026, a month after Tweed) gives a lattice-based threshold signature with exactly this shape – two rounds, only the second message-dependent, adaptive security against T-1 corruptions with no erasures, from MSIS and MLWE in the ROM – verified here directly against the paper’s PDF (Definition of adp-TS-sUF-4 in its Figure 4, and the Theorem 2 + Theorem 3 reduction chain to MSIS), not just its abstract. The proof is human-written and published, but not yet independently re-verified line-by-line by this site, nor formalized in Lean.
Learning With ErrorsThreshold SignaturesTight Reductionsromseparationresearch-solved
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