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Group communication enables Internet of Things (IoT) devices to communicate in an efficient and fast manner. In most instances, a group message needs to be encrypted using a cryptographic key that only devices in the group know. In this paper, we address the problem of establishing such a key using a lattice-based one-way function, which can easily be inverted using a suitably designed lattice trapdoor. Using the notion of a bad/good basis, we present a new method of coupling multiple privatedoi:10.3390/s22114148 pmid:35684771 pmcid:PMC9185647 fatcat:ffxmzzhzbbesrltvxjnezmhznm