Paper 2008/043 Original: eprint.iacr.org/2008/043 ↗

Cryptanalysis of CRUSH hash structure

Nasour Bagheri
Majid Naderi
Babak Sadeghiyan
Abstract

In this paper, we will present a cryptanalysis of CRUSH hash structure. Surprisingly, our attack could find pre-image for any desired length of internal message. Time complexity of this attack is completely negligible. We will show that the time complexity of finding a pre-image of any length is O(1). In this attack, an adversary could freely find a pre-image with the length of his own choice for any given message digits. We can also find second pre-image, collision, multi-collision in the same complexity with our attack. In this paper, we also introduce a stronger variant of the algorithm, and show that an adversary could still be able to produce collisions for this stronger variant of CRUSH hash structure with a time complexity less than a Birthday attack.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2008-01-29: last updated
2008-01-29: published
Short URL
https://ia.cr/2008/043
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/043,
      author = {Nasour Bagheri and Majid Naderi and Babak Sadeghiyan},
      title = {Cryptanalysis of CRUSH hash structure},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/043},
      year = {2008},
      url = {https://eprint.iacr.org/2008/043}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.