Collisions on SHA-0 in One Hour

  • Authors:
  • Stéphane Manuel;Thomas Peyrin

  • Affiliations:
  • INRIA,;Orange Labs, and AIST, and Université de Versailles Saint-Quentin-en-Yvelines,

  • Venue:
  • Fast Software Encryption
  • Year:
  • 2008

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Abstract

At Crypto 2007, Joux and Peyrin showed that the boomerang attack, a classical tool in block cipher cryptanalysis, can also be very useful when analyzing hash functions. They applied their new theoretical results to SHAand provided new improvements for the cryptanalysis of this algorithm. In this paper, we concentrate on the case of SHA-0. First, we show that the previous perturbation vectors used in all known attacks are not optimal and we provide a new 2-block one. The problem of the possible existence of message modifications for this vector is tackled by the utilization of auxiliary differentials from the boomerang attack, relatively simple to use. Finally, we are able to produce the best collision attack against SHA-0so far, with a measured complexity of 233,6hash function calls. Finding one collision for SHA-0takes us approximatively one hour of computation on an average PC.