What Is the Minimum Number of Nodes Required to Form a Valid Threshold Signature?

The minimum number of nodes required to form a valid threshold signature is defined by the network's security parameters, typically expressed as $t$ out of $n$, where $n$ is the total number of active nodes and $t$ is the required threshold. For example, in a 21-node network, the threshold might be set at 14.

This threshold is chosen to be high enough to ensure a strong consensus (preventing minority attacks) but low enough to allow for network resilience if a few nodes are offline.