[Resource Topic] 2008/270: New Collision attacks Against Up To 24-step SHA-2

Welcome to the resource topic for 2008/270

Title:
New Collision attacks Against Up To 24-step SHA-2

Authors: Somitra Kumar Sanadhya, Palash Sarkar

Abstract:

In this work, we provide new and improved attacks against 22, 23 and 24-step SHA-2 family using a local collision given by Sanadhya and Sarkar (SS) at ACISP '08. The success probability of our 22-step attack is 1 for both SHA-256 and SHA-512. The computational efforts for the 23-step and 24-step SHA-256 attacks are respectively 2^{11.5} and 2^{28.5} calls to the corresponding step reduced SHA-256. The corresponding values for the 23 and 24-step SHA-512 attack are respectively 2^{16.5} and 2^{32.5} calls. Using a look-up table having 2^{32} (resp. 2^{64}) entries the computational effort for finding 24-step SHA-256 (resp. SHA-512) collisions can be reduced to 2^{15.5} (resp. 2^{22.5}) calls. We exhibit colliding message pairs for 22, 23 and 24-step SHA-256 and SHA-512. This is the \emph{first} time that a colliding message pair for 24-step SHA-512 is provided. The previous work on 23 and 24-step SHA-2 attacks is due to Indesteege et al. and utilizes the local collision presented by Nikolić and Biryukov NB) at FSE '08. The reported computational efforts are 2^{18} and 2^{28.5} for 23 and 24-step SHA-256 respectively and 2^{43.9} and 2^{53} for 23 and 24-step SHA-512. The previous 23 and 24-step attacks first constructed a pseudo-collision and later converted it into a collision for the reduced round SHA-2 family. We show that this two step procedure is unnecessary. Although these attacks improve upon the existing reduced round SHA-2 attacks, they do not threaten the security of the full SHA-2 family.

ePrint: https://eprint.iacr.org/2008/270

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