An Ideal Multi-secret Sharing Scheme Based on Connectivity of Graphs |
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Authors: | Ching-Fang Hsu Lein Harn Guohua Cui |
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Affiliation: | 1. Computer School, Central China Normal University, Wuhan, 430079, China 2. Department of Computer Science Electrical Engineering, University of Missouri-Kansas City, Kansas City, MO, 64110, USA 3. College of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China
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Abstract: | Secure communication has become more and more important for many modern communication applications. In a secure communication, every pair of users need to have a secure communication channel (each channel is controlled by a server) In this paper, using monotone span programs we devise an ideal linear multi-secret sharing scheme based on connectivity of graphs. In our proposed scheme, we assume that every pair of users, (p) and (q) , use the secret key (s_{pq} ) to communicate with each other and every server has a secret share such that a set of servers can recover (s_{pq} ) if the channels controlled by the servers in this set can connect users, (p) and (q) . The multi-secret sharing scheme can provide efficiency for key management. We also prove that the proposed scheme satisfies the definition of a perfect multi-secret sharing scheme. Our proposed scheme is desirable for secure and efficient secure communications. |
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