Man-in-the-Middle Secure Authentication Schemes from LPN and Weak PRFs

  • Vadim Lyubashevsky
  • Daniel Masny
Conference paper

DOI: 10.1007/978-3-642-40084-1_18

Part of the Lecture Notes in Computer Science book series (LNCS, volume 8043)
Cite this paper as:
Lyubashevsky V., Masny D. (2013) Man-in-the-Middle Secure Authentication Schemes from LPN and Weak PRFs. In: Canetti R., Garay J.A. (eds) Advances in Cryptology – CRYPTO 2013. Lecture Notes in Computer Science, vol 8043. Springer, Berlin, Heidelberg


We show how to construct, from any weak pseudorandom function, a 3-round symmetric-key authentication protocol that is secure against man-in-the-middle attacks. The construction is very efficient, requiring both the secret key and communication size to be only 3n bits long and involving only one call to the weak-PRF. Our techniques also extend to certain classes of randomized weak-PRFs, chiefly among which are those based on the classical LPN problem and its more efficient variants such as Toeplitz-LPN and Ring-LPN. Building an efficient man-in-the-middle secure authentication scheme from any weak-PRF resolves a problem left open by Dodis et al. (Eurocrypt 2012), while building a man-in-the-middle secure scheme based on any variant of the LPN problem solves the main open question in a long line of research aimed at constructing a practical light-weight authentication scheme based on learning problems, which began with the work of Hopper and Blum (Asiacrypt 2001).


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Copyright information

© International Association for Cryptologic Research 2013

Authors and Affiliations

  • Vadim Lyubashevsky
    • 1
  • Daniel Masny
    • 2
  1. 1.INRIA / École Normale SupérieureParisFrance
  2. 2.Ruhr-Universitat BochumGermany

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