A system that includes an administrative device in signal communication with the one or more devices in the network. The administrative device is configured to access a first node table for a first node and access a second node table for a second node. The administrative device is further configured to obtain a correlithm object key, to re-encode the first set of output correlithm objects using the correlithm object key, and to shuffle the order of the re-encoded first set of output correlithm objects. The administrative device is further configured to re-encode the second set of input correlithm objects using the correlithm object key and to shuffle the order of the re-encoded second set of input correlithm objects. The administrative device is further configured to overwrite the first node table with the reconfigured first node table and the second node table with the reconfigured second node table.