Secure Pairwise Key Sharing using Geometric Group Key Sharing Method

In recent years, the concept of Internet of Things (IoT) network has been extensively discussed. Hamasaki et al. proposed a method of group key sharing using geometric characteristic. Thereafter, a method for sharing a pairwise key by implementing the Hamasaki et al.'s method had been proposed by Nishigami et al. However, we found that in this method, 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, we propose a method that enables a pairwise key to be securely shared. In addition, we extend our method of pairwise key sharing to efficiently share pairwise, group, and global keys. Finally, we evaluate the efficiency of our proposed method.