¹Information Security Center, Beijing University of Posts and Telecommunications, Beijing 100876, China
²School of Information, Guangdong ocean University, Zhanjiang 524088, China

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Abstract—Most threshold key encapsulation mechanisms (KEM) have been studied in a weak model–static corruption model or random oracle model. In this paper, we propose a threshold KEM scheme with provable security based on the bilinear groups of composite order in the standard model. We use a direct construction from Boyen-Mei-Waters’ KEM scheme to obtain a threshold KEM scheme that can withstand adaptive chosen ciphertext attacks (CCA) and adaptive corruption attacks. However, to achieve a higher security level, our construction does not increase overall additional size of ciphertext compare to other schemes.

Index Terms—Key encapsulation mechanisms; Adaptive corruption attacks; Chosen ciphertext attack; Bilinear groups of composite order.

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Cite: Yuanju Gan, Licheng Wang, Jianhua Yan, Yixian Yang, "CCA Secure Threshold KEM Scheme Against Adaptive Corruption Attacks in Standard Model," Journal of Software vol. 8, no. 5, pp. 1245-1253, 2013.