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Provably Secure Group Key Management Approach Based upon Hyper-Sphere

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6 Author(s)
Tang, S. ; Shaohua Tang is with the School of Computer Science and Engineering, South China University of Technology, Guangzhou, China (e-mail: shtang@ieee.org). ; Xu, L. ; Liu, N. ; Huang, X.
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This supplementary file consists of three sections. In Section I, a theorem is presented to prove that the number of points on a hyper-sphere over finite field GF(p) is at least pN1 for a given hyper-sphere determined by C = (c0; c1; : : : ; cN) 2 GF(p)N+1 and R 2 GF(p), where p is a prime. In Section II, a concrete algorithm to find a point on a hyper-sphere is constructed. In Section III, two lemmas and a theorem are proposed and proven, then the security of the proposed group key management scheme is proven formally.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:PP ,  Issue: 99 )

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