Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Bertoni, Guido; Daemen, Joan; Peeters, Michaël; Van Assche, Gilles License
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URN: urn:nbn:de:0030-drops-19463

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Sufficient conditions for sound tree hashing modes



We consider the general case of tree hashing modes that make use of an underlying compression function. We consider such a tree hashing mode sound if differentiating it from a random oracle, assuming the underlying compression function is a random oracle can be proven to be hard. We demonstrate two properties that such a tree hashing mode must have for such a proof to exist. For each of the two properties we show that several solutions exist to realize them. For some given solutions we demonstrate that a simple proof of indifferentiability exists and obtain an upper bound on the differentiability probability of $q^2/2^n$ with $q$ the number of queries to the underlying compression function and $n$ its output length. Finally we give two examples of hashing modes for which this proof applies: KeccakTree and Prefix-free Merkle-Damgard.

BibTeX - Entry

  author =	{Bertoni, Guido and Daemen, Joan and Peeters, Micha\"{e}l and Van Assche, Gilles},
  title =	{{Sufficient conditions for sound tree hashing modes}},
  booktitle =	{Symmetric Cryptography},
  pages =	{1--1},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9031},
  editor =	{Helena Handschuh and Stefan Lucks and Bart Preneel and Phillip Rogaway},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-19463},
  doi =		{10.4230/DagSemProc.09031.15},
  annote =	{Keywords: Tree Hashing, Indifferentiability}

Keywords: Tree Hashing, Indifferentiability
Seminar: 09031 - Symmetric Cryptography
Issue date: 2009
Date of publication: 30.03.2009

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