Various embodiments include a network manager for managing network keys in a network having a plurality of nodes, the device including: a memory; and a processor configured to: determine N nodes to blacklist, wherein N is an integer; select a polynomial function from a plurality of polynomial functions of degree K and wherein the polynomial functions define plurality of secret network keys; generate K-N random abscissa values, wherein none of the random abscissa values are not found in a list of node abscissa values; calculate K-N polynomial function values for the K-N random abscissa values; calculate N polynomial function values for N node abscissa values associated with the N blacklisted nodes; transmit a message to nodes in the network including an indication of the selected polynomial function, the K-N random abscissa values, the N node abscissa values associated with the N blacklisted nodes, the K-N calculated polynomial function values, and the N calculated polynomial function values.
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