FROST (Flexible Round-Optimized Schnorr Threshold Signatures)
FROST (Flexible Round-Optimized Schnorr Threshold Signatures) is a threshold signature scheme that allows a group of participants to collaboratively produce valid Schnorr signatures without any single party holding the complete private key.
How It Works
FROST enables T-of-N threshold signing, where T participants out of N total keyholders must cooperate to produce a valid signature. The protocol operates in two rounds:
- Commitment Round: Each participant generates and shares cryptographic commitments
- Signature Round: Participants combine their partial signatures into a final aggregate signature
The resulting signature is indistinguishable from a standard Schnorr signature, maintaining backward compatibility with existing verification systems.
Key Properties
- Threshold Security: No single participant can sign alone; T parties must cooperate
- Round Efficiency: Only two rounds of communication required for signing
- Forgery Protection: Novel techniques protect against attacks on prior threshold schemes
- Signature Aggregation: Multiple signatures combine into a single compact signature
- Privacy: Final signatures reveal nothing about which T participants signed
Use Cases in Nostr
In the context of Nostr, FROST enables:
- Quorum Governance: Groups can share an nsec through T-of-N schemes, where members can represent themselves or delegate to councils
- Multi-sig Administration: Community moderation requiring multiple admin signatures
- Decentralized Key Management: Distributing trust across multiple parties for critical operations
Standardization
FROST was standardized as RFC 9591 in June 2024, titled “The Flexible Round-Optimized Schnorr Threshold (FROST) Protocol for Two-Round Schnorr Signatures.”
Primary sources:
- RFC 9591: FROST Protocol
- FROST Paper (IACR)
- University of Waterloo CrySP
- Zcash Foundation Rust Implementation
Mentioned in:
See also: