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Lecture notes in computer science

Practical and Tightly-Secure Digital Signatures and Authenticated Key Exchange

Kristian Gjøsteen, Tibor Jager

Published Jan 1, 2018• 84 citations
Publisher
DOI
10.1007/978-3-319-96881-0_4

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Tightly Secure ID-based Authenticated Key Exchange

Takumu Mita, Kazuki Yoneyama

In CRYPTO 2021, Han et al. proposed a PKI-based authenticated key exchange (AKE) scheme that satisfies tight security in the standard model by using KEM and digital signature with multi-user security as building blocks. On the other hand, no tightly secure ID-based AKE (ID-AKE) scheme is known. ID-AKE has the advantage that certificate management is unnecessary, and the authentication can be based on the party’s public ID, such as an e-mail address. In this paper, we propose the first tightly secure ID-AKE scheme in the standard model. First, we extend the security model of Han et al.’s PKI-based AKE to the security model for ID-AKE. Next, we introduce a generic construction with multi-user secure KEM and ID-based signature (IBS) as building blocks and prove the tight security in our security model. For instantiating the underlying IBS, we also revisit the security proof of the existing generic construction of tightly secure IBS proposed by Lee et al. We point out a problem in their proof and correct it by strengthening an assumption. As an instantiation of our scheme, a tightly secure ID-AKE scheme under the MDDH assumption can be realized in the standard model.

ACM ASIA Public-Key Cryptography Workshop (APKC)•Jun 28, 2024•0 citations

An Efficient One-Way Authenticated Key Exchange Protocol for Anonymity Networks

Mingping Qi, Jianhua Chen

Authenticated key exchange (AKE) is a crucial cryptographic primitive used for establishing an authenticated and confidential communication channel between parties, which has been widely used in our daily life when we surf on the Internet. However, in past decades mutual AKE protocols have been studied extensively in theory, while in many practical environments such as in the Tor anonymity network the mutual authentication property is undesirable. Meanwhile, considering privacy protection is getting more and more attention and one-way AKE protocols play an important role in privacy protection, so no matter in theory or in practice, it is quite meaningful to conduct research on the one-way AKE protocols. In this article, we present a new efficient anonymous one-way AKE protocol, which has strong anonymity and security properties guarantee, and efficiency advantages. Moreover, our new scheme has tight security reduction and is formally proved secure in the random oracle model under the Gap-DH and XCR signature security assumptions.

IEEE Systems Journal•May 5, 2020•2 citations
In CRYPTO 2021, Han et al. proposed a PKI-based authenticated key exchange (AKE) scheme that satisfies tight security in the standard model by using KEM and digital signature with multi-user security as building blocks. On the other hand, no tightly secure ID-based AKE (ID-AKE) scheme is known. ID-AKE has the advantage that certificate management is unnecessary, and the authentication can be based on the party’s public ID, such as an e-mail address. In this paper, we propose the first tightly secure ID-AKE scheme in the standard model. First, we extend the security model of Han et al.’s PKI-based AKE to the security model for ID-AKE. Next, we introduce a generic construction with multi-user secure KEM and ID-based signature (IBS) as building blocks and prove the tight security in our security model. For instantiating the underlying IBS, we also revisit the security proof of the existing generic construction of tightly secure IBS proposed by Lee et al. We point out a problem in their proof and correct it by strengthening an assumption. As an instantiation of our scheme, a tightly secure ID-AKE scheme under the MDDH assumption can be realized in the standard model.
Authenticated key exchange (AKE) is a crucial cryptographic primitive used for establishing an authenticated and confidential communication channel between parties, which has been widely used in our daily life when we surf on the Internet. However, in past decades mutual AKE protocols have been studied extensively in theory, while in many practical environments such as in the Tor anonymity network the mutual authentication property is undesirable. Meanwhile, considering privacy protection is getting more and more attention and one-way AKE protocols play an important role in privacy protection, so no matter in theory or in practice, it is quite meaningful to conduct research on the one-way AKE protocols. In this article, we present a new efficient anonymous one-way AKE protocol, which has strong anonymity and security properties guarantee, and efficiency advantages. Moreover, our new scheme has tight security reduction and is formally proved secure in the random oracle model under the Gap-DH and XCR signature security assumptions.