Abstract
We analyze the Grøstl hash function, which is a 2nd-round candidate of the SHA-3 competition. Using the start-from-the-middle variant of the rebound technique, we show collision attacks on the Grøstl-256 hash function reduced to 5 and 6 out of 10 rounds with time complexities 248 and 2112, respectively. Furthermore, we demonstrate semi-free-start collision attacks on the Grøstl-224 and -256 hash functions reduced to 7 rounds and the Grøstl-224 and -256 compression functions reduced to 8 rounds. Our attacks are based on differential paths between the two permutations P and Q of Grøstl, a strategy introduced by Peyrin to construct distinguishers for the compression function. In this paper, we extend this approach to construct collision and semi-free-start collision attacks for both the hash and the compression function. Finally, we present improved distinguishers for reduced-round versions of the Grøstl-224 and -256 permutations.
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Ideguchi, K., Tischhauser, E., Preneel, B. (2011). Improved Collision Attacks on the Reduced-Round Grøstl Hash Function. In: Burmester, M., Tsudik, G., Magliveras, S., Ilić, I. (eds) Information Security. ISC 2010. Lecture Notes in Computer Science, vol 6531. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18178-8_1
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