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New Second Preimage Attack Variants against the MD-Structure

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Cryptology and Network Security (CANS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8813))

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Abstract

We consider a situation where the adversary performs a second preimage attack and is able to influence slightly the preconditions under which the iterated hash function is used. In the first variant of the attack, the adversary is able to choose the initial value of the hash function after receiving the original message. In the second variant, the adversary is allowed to determine a prefix of the original message and has to create a second preimage with the same prefix. Both of these attacks use diamond structures and the expected number of compression function calls required to complete each of them successfully is in \(\mathrm O(\sqrt{n} \cdot 2^{\frac{2n}{3}})\) while on random oracle hash function it is in \(\mathrm O(2^n)\). We also show that it is possible to decrease the before mentioned expected value to \(\mathrm O(2^{\frac{2n-l}{3}})\) if the length of the original message is 2l and l is sufficiently large. Furthermore, we generalize these attacks to work against concatenated hash functions as well.

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Author information

Authors and Affiliations

  1. Mathematics Division, University of Oulu, Finland

    Tuomas Kortelainen

  2. Department of Information Processing Science, University of Oulu, Finland

    Juha Kortelainen

Authors
  1. Tuomas Kortelainen
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  2. Juha Kortelainen
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Editor information

Editors and Affiliations

  1. Department of Informatics, Athens University of Economics & Business, 76, Patission Str., 10434, Athens, Greece

    Dimitris Gritzalis

  2. Department of Informatics and Telecommunications, Panepistimiopolis, National and Kapodistrian University of Athens, 15784, Athens, Greece

    Aggelos Kiayias

  3. FORTH-ICS, Vassilika Vouton, P.O. Box 1385, 711 10, Heraklion, Crete, Greece

    Ioannis Askoxylakis

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Kortelainen, T., Kortelainen, J. (2014). New Second Preimage Attack Variants against the MD-Structure. In: Gritzalis, D., Kiayias, A., Askoxylakis, I. (eds) Cryptology and Network Security. CANS 2014. Lecture Notes in Computer Science, vol 8813. Springer, Cham. https://doi.org/10.1007/978-3-319-12280-9_7

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  • DOI: https://doi.org/10.1007/978-3-319-12280-9_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12279-3

  • Online ISBN: 978-3-319-12280-9

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