Secure Pairwise Key Sharing using Geometric Group Key Sharing Method (Full Paper)

In recent years, the concept of Internet of Things (IoT) network used to enable everyday objects and electronic devices to communicate with each other has been extensively discussed. There are three main types of communication that can be assumed in an IoT network: unicast, group, and broadcast communication. Apart from that, Hamasaki et al. considered geometric characteristics and proposed a method of geometric group key sharing. Thereafter, a key sharing method suitable for sharing a pairwise key by implementing the method proposed by Hamasaki et al. had been proposed by Nishigami et al. However, testing this method, we found that when a node and its fellow nodes are attacked together, the keys of the rest of the nodes will be leaked. Therefore, in this paper, using the feature introduced in geometric group key sharing, we propose a method that enables a pairwise key to be securely shared. In addition, we extend our method of pairwise key sharing to be applicable for group key sharing to achieve a way to share efficiently pairwise, group, and global keys used in broadcast communication. Finally, we evaluate the efficiency of our proposed method