Optimizing FROST for Message Capacity

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The FROST threshold signature scheme achieves round optimal Schnorr signing through a double-nonce construction, but requires two presignatures per signature. Since each presignature demands an expensive distributed key generation (DKG) protocol, this overhead is significant for high-throughput applications. FROST builds on a core presignature protocol (that we call FROST-core) that uses hash-based re-randomization of presignatures. We investigate whether fewer presignatures can be used to sign