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Attacking Reduced Round SHA-256
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Abstract: | The SHA-256 hash function has started getting attention recently by the cryptanalysis community due to the various weaknesses found in its predecessors such as MD4, MD5, SHA-0 and SHA-1. We make two contributions in this work. First we describe message modification techniques and use them to obtain an algorithm to generate message pairs which collide for the actual SHA-256 reduced to 18 steps. Our second contribution is to present differential paths for 19, 20, 21, 22 and 23 steps of SHA-256. We construct parity check equations in a novel way to find these characteristics. Further, the 19-step differential path presented here is constructed by using only 15 local collisions, as against the previously known 19-step near collision differential path which consists of interleaving of 23 local collisions. Our 19-step differential path can also be seen as a single local collision at the message word level. We use a linearized local collision in this work. These results do not cause any threat to the security of the SHA-256 hash function. |
BibTeX
@misc{eprint-2008-17819, title={Attacking Reduced Round SHA-256}, booktitle={IACR Eprint archive}, keywords={Cryptanalysis, SHA-256 Hash function, Reduced round attacks.}, url={http://eprint.iacr.org/2008/142}, note={A shorter version of this paper will appear in the proceedings of ACNS 2008. somitra_r@isical.ac.in 14014 received 31 Mar 2008, last revised 15 May 2008}, author={Somitra Kumar Sanadhya and Palash Sarkar}, year=2008 }