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IET Information Security

Cryptanalysis of a generic one‐round key exchange protocol with strong security

Zheng Yang, Junyu Lai, Guoyuan Li

Published Sep 4, 2017• 0 citations
Publisher

Abstract

In Public‐Key Cryptography (PKC) 2015, Bergsma et al . introduced an interesting one‐round key exchange protocol (which will be referred to as BJS scheme) with strong security in particular for perfect forward secrecy (PFS). In this study, the authors unveil a PFS attack against the BJS scheme. This would simply invalidate its security proof. An improvement is proposed to fix the problem of the BJS scheme with minimum changes.

DOI
10.1049/iet-ifs.2017.0055

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In Public‐Key Cryptography (PKC) 2015, Bergsma et al . introduced an interesting one‐round key exchange protocol (which will be referred to as BJS scheme) with strong security in particular for perfect forward secrecy (PFS). In this study, the authors unveil a PFS attack against the BJS scheme. This would simply invalidate its security proof. An improvement is proposed to fix the problem of the BJS scheme with minimum changes.
In PKC 2015, Bergsma et al. introduced a generic one-round key exchange (ORKE) protocol (which is referred to as BJS) from digital signature (SIG) and simplified non-interactive key exchange (NIKE) without involving any identity. The BJS scheme is shown to satisfy extended Canetti and Krawczyk-PFS security if the NIKE is adaptive-CKS-light secure and the SIG is strongly secure against existential unforgeability under chosen message attacks. However, the BJS scheme cannot be instantiated with NIKE scheme with identity (e.g. the one proposed by Boneh and Zhandry in Crypto 2014). In this paper, we propose a much simpler generic construction for ORKE from NIKE and SIG. In particular, our scheme only makes weaker security assumptions on the underlying building blocks. Namely, we first show that the static-CKS-light security of NIKE, where the target identities are chosen by the adversary before seeing the system parameters, is sufficient for our construction. On the second, we observe that the SIG only needs to provide strong existential unforgeability under weak chosen message attacks for our construction. These results enable our proposal to have more concrete instantiations which might be easier to build and realize. At the same time, our new protocol is much more computationally efficient than the BJS protocol.
Abstract. Constructingaoneround group key exchange (GKE) protocol that provides forwardsecrecy is an open problem in the literature. In this paper, we investigate whether or not the security of one round GKE protocols can be enhanced with any form of forward secrecy without increasing the number of rounds. We apply the key evolving approach used for forward secure encryption/signature schemes and then model the notion of forward security for the first time for key exchange protocols. This notion is slightly weaker than forward secrecy, considered traditionally for key exchange protocols. We then revise an existing one round GKE protocol to propose a GKE protocol with forward security. In the security proof of the revised protocol we completely avoid reliance on the random oracle assumption that was needed for the proof of the base protocol. Our security proof can be directly applied to the base protocol, making it the most efficient one round GKE protocol secure in the standard model. Our one round GKE protocol is generically constructed from the primitive of forward secure encryption. We also propose a concrete forward secure encryption scheme with constant size ciphertext that can be used to efficiently instantiate our protocol.
We propose two security models for one-round group key exchange (ORGKE), which are called as g-eCKw and g-eCK-PFS. The g-eCK-PFS is a stronger variant of g- eCKw, which particularly formulates perfect forward se- crecy for ORGKE. A new tripartite ORGKE is proposed to provide g-eCKw security without random oracles under standard assumptions, that is also more e_cient than its predecessor by Li and Yang on CANS'13. We also show how to transform (compile) a g-eCKw secure protocol to achieve g-eCK-PFS security. In particular, our result enables us to prove the security of the first ORGKE protocol that achieves perfect forward secrecy without random oracles in a strong security model allowing adversary to compromise critical information of session participants such as long-term or ephemeral private key.
Recently, LaMacchia, Lauter and Mityagin proposed the extended Canetti-Krawczyk (eCK) model for Authenticated Key Exchange (AKE) protocols that covers many attacks on existing models. An ID-based AKE protocol with Perfect Forward Secrecy (PFS) (respectively Master Perfect Forward Secrecy (MPFS)) ensures that revelation of the static keys of the parties (respectively the master secret key of the private key generator), must not compromise even a single bit of the session keys of the past sessions between the parties. Currently, to the best of our knowledge, there is no ID-based eCK secure single round AKE protocol with either PFS or MPFS. In our preliminary version [18] we have proposed, without proofs, ID-based eCK secure single round AKE protocols with PFS and MPFS in the random oracle model. To achieve this, we also have constructed ID-based eCK secure single round AKE protocols, one without Master Forward Secrecy (MFS) and one with MFS, almost at the same computational cost as the existing efficient ID-based eCK Secure Single Round AKE protocols. In this full version, we provide proofs to show that all of our protocols are secure under the Gap Bilinear Diffie-Hellman (GBDH) problem.
A tripartite authenticated key agreement protocol is designed for three entities to communicate securely over an open network particularly with a shared key. Recently, we have improved a one-round tripartite authenticated key agreement protocol proposed by Lin-Li due to its vulnerability to the forging attack in our previous report. However, we have later discovered that both the original Lin-Li's scheme and our previous enhanced protocol are vulnerable to the insider replay attack. Moreover, we have also realized that both protocols have falsely claimed the forward secrecy attribute. In this paper, we will revise our improvements and again secure this protocol against these cryptanalytic attacks while recovering the precious perfect forward secrecy property.
The paper proposes a multi-party key exchange scheme with Perfect Forward Secrecy (PFS) which ensures that a session key derived from a set of long-term public and private keys used in the protocol to authenticate, does not compromise the secrecy of session key. In this protocol, each group establishes connection by communicating through a trusted third party. The trusted party acts as a group controller generates a public key and broadcasts it among the groups. Each group generate their public keys and send to trusted party. After receiving all the keys the group controller shares it among all the parties to generate the session key. Similarly, each group manager of individual group communicates with the members of the corresponding group. The security of the proposed scheme is analysed rigorously and proved to be resistant against non-repudiation attack, replay attack, chosen cipher attack, man-in-the middle attack. The scheme has wider applications such as, sending encrypted e-mail in a military environment to multiple users, securing submitted bids information in online tender, contract signing by many organizations, etc.