On the Security of Hash Functions Employing Blockcipher Postprocessing

  • Donghoon Chang
  • Mridul Nandi
  • Moti Yung
Conference paper

DOI: 10.1007/978-3-642-21702-9_9

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6733)
Cite this paper as:
Chang D., Nandi M., Yung M. (2011) On the Security of Hash Functions Employing Blockcipher Postprocessing. In: Joux A. (eds) Fast Software Encryption. FSE 2011. Lecture Notes in Computer Science, vol 6733. Springer, Berlin, Heidelberg


Analyzing desired generic properties of hash functions is an important current area in cryptography. For example, in Eurocrypt 2009, Dodis, Ristenpart and Shrimpton [8] introduced the elegant notion of “Preimage Awareness” (PrA) of a hash function HP, and they showed that a PrA hash function followed by an output transformation modeled to be a FIL (fixed input length) random oracle is PRO (pseudorandom oracle) i.e. indifferentiable from a VIL (variable input length) random oracle. We observe that for recent practices in designing hash function (e.g. SHA-3 candidates) most output transformations are based on permutation(s) or blockcipher(s), which are not PRO. Thus, a natural question is how the notion of PrA can be employed directly with these types of more prevalent output transformations? We consider the Davies-Meyer’s type output transformation OT(x) : = E(x) ⊕ x where E is an ideal permutation. We prove that OT(HP(·)) is PRO if HP is PrA, preimage resistant and computable message aware (a related but not redundant notion, needed in the analysis that we introduce in the paper). The similar result is also obtained for 12 PGV output transformations. We also observe that some popular double block length output transformations can not be employed as output transformation.


PrA PRO PRP Computable Message Awareness 

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Donghoon Chang
    • 1
  • Mridul Nandi
    • 2
  • Moti Yung
    • 3
  1. 1.National Institute of Standards and TechnologyUSA
  2. 2.C.R. Rao AIMSCSHyderabadIndia
  3. 3.Google Inc. and Department of Computer ScienceColumbia UniversityNew YorkUSA

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