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An Authenticated Certificateless Public Key Encryption Scheme.

Young-Ran Lee, Hyang-Sook Lee

Published Jan 1, 2004• 18 citations
OpenAlex

Abstract

In 2003, Al-Riyami and Paterson[1] proposed the certificateless public key cryptography(CL-PKC) which is intermediate between traditional certificated PKC and identity-based PKC. In this paper, we propose an authenticated certificateless public key encryption scheme. Our result improves their public key encryption scheme in the efficiency. The security of the protocol is based on the hardness of two problems; the computational Diffie-Hellman problem(CDHP) and the bilinear Diffie-Hellman problem(BDHP). We also give a formal security model for both confidentiality and authentication, and then show that our scheme is probably secure in the security model.

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Authenticated key agreement (AK) protocol is crucial in providing data confidentiality and integrity for subsequent communications among two or more parties over a public network. Certificateless public key cryptography (CL-PKC) combines the advantage of the identity-based public key cryptography (ID-PKC) and the traditional public key cryptography (PKC). Unfortunately, construction of CL-PKC and AK protocols has so far depended on the use of identity-based encryption, which results in the bilinear pairing-based schemes that need costly operations. We present a secure certificateless authenticated key agreement protocol without paring, based on the certificateless encryption scheme proposed by J. Baek et al. It shows that the newly proposed scheme is of nice efficiency and practical. Moreover, it provides perfect forward secrecy, PKG forward secrecy and almost all the other known security attributes, such as known-key secrecy, key-compromise impersonation resilience, unknown key-share resilience, known session-specific temporary information security, message independence and no key control.

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In 2003, Al-Riyami and Paterson[1] proposed the certificateless public key cryptography(CL-PKC) which is intermediate between traditional certificated PKC and identity-based PKC. In this paper, we propose an authenticated certificateless public key encryption scheme. Our result improves their public key encryption scheme in the efficiency. The security of the protocol is based on the hardness of two problems; the computational Diffie-Hellman problem(CDHP) and the bilinear Diffie-Hellman problem(BDHP). We also give a formal security model for both confidentiality and authentication, and then show that our scheme is probably secure in the security model.
Authenticated key agreement (AK) protocol is crucial in providing data confidentiality and integrity for subsequent communications among two or more parties over a public network. Certificateless public key cryptography (CL-PKC) combines the advantage of the identity-based public key cryptography (ID-PKC) and the traditional public key cryptography (PKC). Unfortunately, construction of CL-PKC and AK protocols has so far depended on the use of identity-based encryption, which results in the bilinear pairing-based schemes that need costly operations. We present a secure certificateless authenticated key agreement protocol without paring, based on the certificateless encryption scheme proposed by J. Baek et al. It shows that the newly proposed scheme is of nice efficiency and practical. Moreover, it provides perfect forward secrecy, PKG forward secrecy and almost all the other known security attributes, such as known-key secrecy, key-compromise impersonation resilience, unknown key-share resilience, known session-specific temporary information security, message independence and no key control.
Authenticated key agreement protocol is one of the important cryptographic primitives to ensure secure communication in an open network. Certificateless public key cryptography (CL-PKC) represents an interesting and potentially useful balance between public key cryptography based on certificates and identity-based cryptography. The topic of CL-PKC has undergone quite rapid development with schemes being proposed for encryption and signatures, while certificateless authenticated key agreement protocols are seldom discussed. In this paper, we present a secure two-party authenticated key agreement protocol based on an efficient certificateless public key encryption with pairing. Such a scheme achieves almost all of the security attributes, including known-key secrecy, perfect forward secrecy, PKG forward secrecy, key-compromise impersonation resilience, unknown key-share resilience, known session-specific temporary information security, message independence and no key control. Meanwhile, it is also practical with nice efficiency.
Authenticated key agreement protocol is used to provide data confidentiality and integrity to subsequent communications among two or more parties over a public network. Certificateless public key cryptography (CL-PKC) combines the advantage of the identity-based public key cryptography (ID-PKC) and the traditional PKI. In this paper, we present a secure and efficient two-party authenticated key agreement protocol based on the certificateless encryption scheme due to Libert and Quisquater. Security analysis shows that it achieves perfect forward secrecy, PKG forward secrecy and almost all the other known security attributes, such as known-key secrecy, key-compromise impersonation resilience, unknown key-share resilience, known session-specific temporary information security, message independence and no key control. Compared to other comparable schemes, it is more secure and efficient.
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.
Certificateless public key cryptography was introduced to overcome the key escrow limitation of the identity-based cryptography. It combines the advantages of the identity-based cryptography and the traditional PKI. Many certificateless public key encryption and signature schemes have been proposed. However, the key agreement in CL-PKE is seldom discussed. In this paper, we present a new certificateless two party authentication key agreement protocol and prove its security attributes. Compared with the existing protocol, our protocol is more efficient.
Certificateless public key cryptography was introduced to remove the use of certificate to ensure the authentication of the user's public key in the traditional certificate-based public key cryptography and overcome he key escrow problem in the identity-based public key cryptography. Concurrent signatures were introduced as an alternative approach to solving the problem of fair exchange of signatures. Combining the concept of certificateless cryptography with the concept of concurrent signature, in this paper, we present a notion of certificateless concurrent signature with a formal security model and propose a provably secure scheme assuming the hardness of computational Diffie-Hellman Problem.