[Resource Topic] 2007/079: How To Find Many Collisions of 3-Pass HAVAL

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Title:
How To Find Many Collisions of 3-Pass HAVAL

Authors: Kazuhiro Suzuki, Kaoru Kurosawa

Abstract:

The hash function HAVAL is an Australian extension of well known Merkle-Damgård hash functions such as MD4 and MD5. It has three variants, 3-, 4- and 5-pass HAVAL. On 3-pass HAVAL, the best known attack finds a collision pair with 2^{7} computations of the compression function. To find k collision pairs, it requires 2^{7}k computations. In this paper, we present a better collision attack on 3-pass HAVAL, which can find k collision pairs with only 2k+33 computations. Further, our message differential is different from the previous ones. (It is important to find collisions for different message differentials.)

ePrint: https://eprint.iacr.org/2007/079

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