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Published in:
2005 | OriginalPaper | Chapter
The Second-Preimage Attack on MD4
Authors : Hongbo Yu, Gaoli Wang, Guoyan Zhang, Xiaoyun Wang
Published in: Cryptology and Network Security
Publisher: Springer Berlin Heidelberg
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In Eurocrypt’05, Wang et al. presented new techniques to find collisions of Hash function MD4. The techniques are not only efficient to search for collisions, but also applicable to explore the second- preimage of MD4. About the second-preimage attack, they showed that a random message was a weak message with probability 2
− 122
and it only needed a one-time MD4 computation to find the second-preimage corresponding to the weak message. A weak message means that there exits a more efficient attack than the brute force attack to find its second-preimage. In this paper, we find another new collision differential path which can be used to find the second-preimage for more weak messages. For any random message, it is a weak message with probability 2
− 56
, and it can be converted into a weak message by message modification techniques with about 2
27
MD4 computations. Furthermore, the original message is close to the resulting message (weak message), i.e, the Hamming weight of the difference for two messages is about 44.