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A strongly secure pairing-free certificateless authenticated key agreement protocol under the cdh assumption

Science China(Information Sciences) 2016年第3期59卷 107-122页

作者： Haiyan SUN Qiaoyan WEN Wenmin LI State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Zhengzhou University of Light Industry

Certificateless authenticated key agreement(CL-AKA) protocols have been studied a great deal since they neither suffer from a heavy certificate management burden nor have the key escrow problem. Recently, many efficient CL-AKA protocols without pairings have been built. However, these pairing-free CL-AKA protocols are either not proved in any formal security model or proved under the gap Diffie-Hellman(GDH)assumption, a non-standard and strong assumption. With available implementation technologies, pairings are needed to realize the GDH assumption, which means that these pairing-free CL-AKA protocols are not pure pairing-free. Furthermore, these protocols are insecure in the strengthened e CK(se CK) model, which encompasses the e CK model and considers leakages on intermediate results. In this paper, we present a pure pairing-free CL-AKA protocol, which is provably secure in the se CK model under the standard computational Diffie-Hellman(cdh) assumption. Compared with the existing CL-AKA protocols, the proposed protocol has advantage over them in security or efficiency.

关键词： cdh assumption se CK model pairing certificateless cryptography authenticated key agreement

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CMQV+:An authenticated key exchange protocol from CMQV

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Science China(Information Sciences) 2012年第7期55卷 1666-1674页

作者： LI Hui 1,2 & WU ChuanKun 1 1 State Key Laboratory of Information Security,Institute of Software,Chinese Academy of Sciences,Beijing 100190,China 2 Graduate University of Chinese Academy of Sciences,Beijing 100049,China State Key Laboratory of Information Security Institute of Software Chinese Academy of Sciences Beijing China Graduate University of Chinese Academy of Sciences Beijing China

Ustaoglu presents a secure and efficient key exchange protocol named CMQV,based on the design rationales of HMQV and NAXOS.Compared with the latter two protocols,on one hand,CMQV achieves high performance of HMQV,and on the other,it is proven secure in eCK model as NAXOS is.However,CMQV enjoys the security proof under gap Diffie-Hellman assumption as indicated by its creators.In this paper,we propose a variant of CMQV,called CMQV+,which is proven secure under a weaker assumption (i.***.computational Diffie-Hellman assumption) in eCK model with random oracles while maintaining the high-performance feature of CMQV as much as possible.

关键词： key exchange eCK model trapdoor-test technique provable security cdh assumption

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