Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Subject: search.filters.subject.NAXOS' approach

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  • Article
    Citation - WoS: 25
    Comparing Sessionstatereveal and Ephemeralkeyreveal for Diffie-Hellman Protocols (extended Version)
    (International Association for Cryptologic Research, 2009) Ustaoğlu, Berkant
    Both the ``eCK'' model, by LaMacchia, Lauter and Mityagin, and the ``CK01'' model, by Canetti and Krawczyk, address the effect of leaking session specific ephemeral data on the security of key establishment schemes. The CK01-adversary is given a \SessionStateReveal{} query to learn session specific private data defined by the protocol specification, whereas the eCK-adversary is equipped with an \RevealEphemeralKey{} query to access all ephemeral private input required to carry session computations. \SessionStateReveal{} \emph{cannot} be issued against the test session; by contrast \RevealEphemeralKey{} \emph{can} be used against the test session under certain conditions. On the other hand, it is not obvious how \RevealEphemeralKey{} compares to \SessionStateReveal{}. Thus it is natural to ask which model is more useful and practically relevant. While formally the models are not comparable, we show that recent analysis utilizing \SessionStateReveal{} and \RevealEphemeralKey{} have a similar approach to ephemeral data leakage. First we pinpoint the features that determine the approach. Then by examining common motives for ephemeral data leakage we conclude that the approach is meaningful, but does not take into account timing, which turns out to be critical for security. Lastly, for Diffie-Hellman protocols we argue that it is important to consider security when discrete logarithm values of the outgoing ephemeral public keys are leaked and offer a method to achieve security even if the values are exposed.
  • Conference Object
    Citation - WoS: 28
    Strongly Secure Authenticated Key Exchange Without Naxos' Approach
    (Springer Verlag, 2009) Kim, Minkyu; Fujioka, Atsushi; Ustaoğlu, Berkant
    LaMacchia, Lauter and Mityagin [15] proposed the extended Canetti-Krawczyk (eCK) model and an AKE protocol, called NAXOS. Unlike previous security models, the adversary in the eCK model is allowed to obtain ephemeral secret information related to the test session, which makes the security proof difficult. To overcome this NAXOS combines an ephemeral private key x with a static private key a to generate an ephemeral public key X; more precisely X∈=∈g H(x,a). As a result, no one is able to query the discrete logarithm of X without knowing both the ephemeral and static private keys. In other words, the discrete logarithm of an ephemeral public key, which is typically the ephemeral secret, is hidden via an additional random oracle. In this paper, we show that it is possible to construct eCK-secure protocol without the NAXOS' approach by proposing two eCK-secure protocols. One is secure under the GDH assumption and the other under the CDH assumption; their efficiency and security assurances are comparable to the well-known HMQV [12] protocol. Furthermore, they are at least as secure as protocols that use the NAXOS' approach but unlike them and HMQV, the use of the random oracle is minimized and restricted to the key derivation function. © 2009 Springer-Verlag Berlin Heidelberg.