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Certificateless Signcryption in the Standard Model

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Abstract

Signcryption can realize encryption and signature simultaneously with lower computational costs and communicational overheads than those of the traditional sign-then-encrypt approach. Certificateless cryptosystem solves the key escrow problem in the identity-based cryptosystem and simplifies the public key management in the traditional public key cryptosystem. There have been some certificateless signcryption schemes proposed in the standard model up to now, but all of them are just proposed in a weaker Type I security model, which is weaker than the original security model of Barbosa and Farshim, who proposed the first certificateless signcryption scheme. In this paper, we propose a certificateless signcryption scheme in the standard model by using bilinear pairings, which is Type I secure in the original security model of Barbosa and Farshim and can resist the malicious-but-passive key generation center Type II attack. The proposed scheme is proved confidential assuming the modified decisional bilinear Diffie–Hellman (M-DBDH) problem is hard, and unforgeable assuming the square computational Diffie–Hellman (Squ-CDH) problem is hard. At last, we evaluate its efficiency which shows it is of high efficiency.

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Acknowledgments

We would like to present our thanks to anonymous reviewers for their helpful suggestions in improving the presentation of our results, and Ms. Yan Di in English langusge editing. This work was supported by the National Natural Science Foundation of China (Grant Nos. 61462048, 61362032 and 61562047); the Natural Science Foundation of Jiangxi Province, China (Grant No. 20151BAB207003 and 20161BAB202036), and the key program of JiuJiang University (Grant No. 2013ZD02).

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Authors and Affiliations

  1. School of Information Science and Technology, Jiujiang University, JiuJiang, 332005, JiangXi, China

    Caixue Zhou, Guangyong Gao & Zongmin Cui

  2. Institute of Network and Information Security, Jiujiang University, JiuJiang, 332005, JiangXi, China

    Caixue Zhou, Guangyong Gao & Zongmin Cui

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  1. Caixue Zhou
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  2. Guangyong Gao
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  3. Zongmin Cui
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Correspondence to Caixue Zhou.

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Zhou, C., Gao, G. & Cui, Z. Certificateless Signcryption in the Standard Model. Wireless Pers Commun 92, 495–513 (2017). https://doi.org/10.1007/s11277-016-3554-8

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