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Information and Computation

A strengthened eCK secure identity based authenticated key agreement protocol based on the standard CDH assumption

Renu Mary Daniel, Anitha Thomas, Elijah Blessing Rajsingh, Salaja Silas

Published Jul 11, 2023• 12 citations
Publisher
DOI
10.1016/j.ic.2023.105067

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Pla Information

Most available identity-based authenticated key agreement protocols require that both protocol participants are from the same PKG(Private Key Generator) environment.However,safe communication is requisite between protocol participants that are from different PKG environment in practice.In this paper,a new identity-based AKA(Authenticated Key Agreement) protocol is proposed in multiple PKG environment,which makes use of a new technique called twin Diffie-Hellman problem.Moreover,the security of the proposed protocol can be reduced to the standard CDH and BDH assumption in the eCK model,which makes use of the trapdoor test technology proposed by Cash et al in Eurocrypt 2008.

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY•Jan 1, 2010•1 citation

TMQV: A Strongly eCK-secure Diffie-Hellman Protocol without Gap Assumption.

Jiaxin Pan, Libin Wang

In this paper, we propose an authenticated key exchange (AKE) protocol under the computational Diffie-Hellman (CDH) assumption with respect to the strengthened eCK-security (seCK-security) of Sarr et al.. To date, many AKE protocols either are provably secure under a rather strong and non-standard assumption named as the gap Diffie-Hellman (GDH) assumption, or fall to practical attacks on the intermediate result leakage which can be captured by the seCK model. In order to remove the gap assumption and achieve stronger security requirements, we present the TMQV protocol using the twinning technique and the MQV key derivation method. With the help of trapdoor test theorem, TMQV is provably seCK-secure under the standard CDH assumption in the random oracle model. Compared with the related works, TMQV achieves not only stronger security but also higher implementation efficiency with weaker cryptographic assumptions.

Journal of Internet Services and Information Security•Jan 1, 2011•0 citations
Most available identity-based authenticated key agreement protocols require that both protocol participants are from the same PKG(Private Key Generator) environment.However,safe communication is requisite between protocol participants that are from different PKG environment in practice.In this paper,a new identity-based AKA(Authenticated Key Agreement) protocol is proposed in multiple PKG environment,which makes use of a new technique called twin Diffie-Hellman problem.Moreover,the security of the proposed protocol can be reduced to the standard CDH and BDH assumption in the eCK model,which makes use of the trapdoor test technology proposed by Cash et al in Eurocrypt 2008.
In this paper, we propose an authenticated key exchange (AKE) protocol under the computational Diffie-Hellman (CDH) assumption with respect to the strengthened eCK-security (seCK-security) of Sarr et al.. To date, many AKE protocols either are provably secure under a rather strong and non-standard assumption named as the gap Diffie-Hellman (GDH) assumption, or fall to practical attacks on the intermediate result leakage which can be captured by the seCK model. In order to remove the gap assumption and achieve stronger security requirements, we present the TMQV protocol using the twinning technique and the MQV key derivation method. With the help of trapdoor test theorem, TMQV is provably seCK-secure under the standard CDH assumption in the random oracle model. Compared with the related works, TMQV achieves not only stronger security but also higher implementation efficiency with weaker cryptographic assumptions.