[Resource Topic] 2008/043: Cryptanalysis of CRUSH hash structure

Welcome to the resource topic for 2008/043

Title:
Cryptanalysis of CRUSH hash structure

Authors: 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.

ePrint: https://eprint.iacr.org/2008/043

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