[Resource Topic] 2006/074: How to Construct Sufficient Condition in Searching Collisions of MD5

Welcome to the resource topic for 2006/074

Title:
How to Construct Sufficient Condition in Searching Collisions of MD5

Authors: Yu Sasaki, Yusuke Naito, Jun Yajima, Takeshi Shimoyama, Noboru Kunihiro, Kazuo Ohta

Abstract:

In Eurocrypt 2005, Wang et al. presented a collision attak on MD5. In their paper, they
intoduced “Sufficient Condition” which would be needed to generate collisions. In this paper, we explain
how to construct sufficent conditions of MD5 when a differential path is given. By applying our algorithm
to a collision path given byWang et al, we found that sufficient conditions introduced by them contained
some unnecessary conditions. Generally speaking, when a differential path is given, corresponding sets
of sufficient conditions is not unique. In our research, we analyzed the differential path found by Wang
et al, and we found a different set of sufficient conditions from that of Wang et al. We have generated
collisions by using our sifficient conditions.

ePrint: https://eprint.iacr.org/2006/074

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