Paper 2005/151 Original: eprint.iacr.org/2005/151 ↗

Improved Collision Attack on MD4

Yusuke Naito
Yu Sasaki
Noboru Kunihiro
Kazuo Ohta
Abstract

In this paper, we propose an attack method to find collisions of MD4 hash function. This attack is the improved version of the attack which was invented by Xiaoyun Wang et al [1]. We were able to find collisions with probability almost 1, and the average complexity to find a collision is upper bounded by three times of MD4 hash operations. This result is improved compared to the original result of [1] where the probability were from $2^{-6}$ to $2^{-2}$, and the average complexity to find a collision was upper bounded by $2^8$ MD4 hash operations. We also point out the lack of sufficient conditions and imprecise modifications for the original attack in [1].

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2005-05-26: last updated
2005-05-26: published
Short URL
https://ia.cr/2005/151
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/151,
      author = {Yusuke Naito and Yu Sasaki and Noboru Kunihiro and Kazuo Ohta},
      title = {Improved Collision Attack on MD4},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/151},
      year = {2005},
      url = {https://eprint.iacr.org/2005/151}
}
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