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arXiv:1301.5091

Cryptanalysis and improvement of two certificateless three-party authenticated key agreement protocols

Haiyan Sun, Qiaoyan Wen, Hua Zhang, Zhengping Jin, Wenmin Li

Published Jan 22, 2013• 2 citations
arXivHTMLPDF

Abstract

Recently, two certificateless three-party authenticated key agreement protocols were proposed, and both protocols were claimed they can meet the desirable security properties including forward security, key compromise impersonation resistance and so on. Through cryptanalysis, we show that one neither meets forward security and key compromise impersonation resistance nor resists an attack by an adversary who knows all users' secret values, and the other cannot resist key compromise impersonation attack. Finally, we propose improved protocols to make up two original protocols' security weaknesses, respectively. Further security analysis shows that our improved protocols can remove such security weaknesses.

DOI
10.48550/arxiv.1301.5091

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This paper studied two-party authenticated agreement protocol in the certificateless public setting.Analyzed the security of Liu-xu's certificateless authenticated two-party key agreement protocol,and it was shown that the scheme did not achieve strong security.The scheme was vulnerable to key compromise impersonation attack and leakage of ephemeral secrets attack.The reason why the attack can work was analyzed and proposed an improved scheme to remove the attack.It is not hard to devise certificateless authenticated two-party key agreement protocols that look secure,but making the proofs word is not always so simple.
Certificateless public key cryptography (CL-PKC) is a new paradigm in public key cryptography which avoids the inherent key escrow problem of identity-based public key cryptography (ID-PKC) and yet requires no certificates to guarantee the authenticity of users' public keys. It was first introduced by Al-Riyami and Paterson in 2003. Subsequently, several certificateless two-party key agreement protocols were presented. Unfortunately, some of these protocols are not as secure as they were claimed to be. We will show that some existing certificateless key agreement protocols do not satisfy the requirements of key-compromise impersonation security and known session-specific temporary information security. Further more, we present two improved certificateless authenticated two-party key agreement protocols which possess all security attributes of a key agreement protocol.
Abstract. Recently, He et al. (Computers and Mathematics with Applications, 2012, 64(6): 1914-1926) proposed a new efficient certificateless two-party authenticated key agreement protocol. They claimed their protocol was provably secure in the extended Canetti-Krawczyk (eCK) model. In this paper, we will show that their protocol is insecure. A type I adversary, who obtains one party’s ephemeral private key, can impersonate the party to cheat the other party and compute the shared session key successfully. For overcoming this weakness, we also propose a simple countermeasure.
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The main goal of cryptography is to enable secure communication over a public channel; often a secret shared among the communicating parties is used to achieve this. The process by which these parties agree on such a shared secret is called key agreement. In this thesis, we focus on two-party key agreement protocols in the public-key setting and study the various methods used to establish and validate public keys. We pay particular attention to certificateless key agreement schemes and attempt to formalize a relevant notion of security. To that end, we give a possible extension of the existing extended Canetti-Krawzcyk security model applicable to the certificateless setting. We observe that none of the certificateless protocols we have seen in the literature are secure in this model; it is an open question whether such schemes exist. We analyze several published certificateless key agreement protocols, demonstrating the existence of key compromise impersonation attacks and even a man-in-the-middle attack in one case, contrary to the claims of the authors. We also briefly describe weaknesses exhibited by these protocols in the context of our suggested security model.