Threshold scheme enabled symmetric key member deletion

A method of securing, by a managing node, communication in a network of member nodes including a first member node. Communication is secured using a (k, n1) secret sharing scheme during a first phase. The managing node announces a phase shift to a subsequent phase relative to the first phase. The managing node secures communication in the network during the subsequent phase using a (k+x, n2) secret sharing scheme. Each of the member nodes is previously in possession of exactly one corresponding unique share for the second key. The first member node is previously in possession of a first unique share for the second key. The managing node deletes the first member node from the subsequent phase by broadcasting the first unique share for the second key.