Designs, Codes and Cryptography

, Volume 85, Issue 1, pp 145–173 | Cite as

Strong authenticated key exchange with auxiliary inputs

  • Rongmao Chen
  • Yi Mu
  • Guomin Yang
  • Willy Susilo
  • Fuchun Guo


Leakage attacks, including various kinds of side-channel attacks, allow an attacker to learn partial information about the internal secrets such as the secret key and the randomness of a cryptographic system. Designing a strong, meaningful, yet achievable security notion to capture practical leakage attacks is one of the primary goals of leakage-resilient cryptography. In this work, we revisit the modelling and design of authenticated key exchange (AKE) protocols with leakage resilience. We show that the prior works on this topic are inadequate in capturing realistic leakage attacks. To close this research gap, we propose a new security notion named leakage-resilient eCK model w.r.t. auxiliary inputs (\(\mathsf {AI\hbox {-}LR\text{-}eCK}\)) for AKE protocols, which addresses the limitations of the previous models. Our model allows computationally hard-to-invert leakage of both the long-term secret key and the randomness, and also addresses a limitation existing in most of the previous models where the adversary is disallowed to make leakage queries during the challenge session. As another major contribution of this work, we present a generic framework for the construction of AKE protocols that are secure under the proposed \(\mathsf {AI\hbox {-}LR\text{-}eCK}\) model. An instantiation based on the decision Diffie–Hellman (DDH) assumption in the standard model is also given to demonstrate the feasibility of our proposed framework.


Authenticated key exchange Auxiliary input Strong randomness extractor Twisted pseudo-random function Smooth projective hash functions 

Mathematics Subject Classification

94A60 14G50 



The work of Yi Mu is supported by the National Natural Science Foundation of China (Grant No. 61170298). The work of Guomin Yang is supported by the Australian Research Council Discovery Early Career Researcher Award (Grant No. DE150101116) and the National Natural Science Foundation of China (Grant No. 61472308).


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Rongmao Chen
    • 1
    • 2
  • Yi Mu
    • 1
  • Guomin Yang
    • 1
  • Willy Susilo
    • 1
  • Fuchun Guo
    • 1
  1. 1.University of WollongongWollongongAustralia
  2. 2.National University of Defense TechnologyChangshaChina

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