Paper 2014/302

Branching Heuristics in Differential Collision Search with Applications to SHA-512

Maria Eichlseder
Florian Mendel
Martin Schläffer
Abstract

In this work, we present practical semi-free-start collisions for SHA-512 on up to 38 (out of 80) steps with complexity $2^{40.5}$. The best previously published result was on 24 steps. The attack is based on extending local collisions as proposed by Mendel et al. in their Eurocrypt 2013 attack on SHA-256. However, for SHA-512, the search space is too large for direct application of these techniques. We achieve our result by improving the branching heuristic of the guess-and-determine approach to find differential characteristics and conforming message pairs. Experiments show that for smaller problems like 27 steps of SHA-512, the heuristic can also speed up the collision search by a factor of $2^{20}$.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published by the IACR in TOSC 2014
DOI
10.1007/978-3-662-46706-0_24
Keywords
cryptanalysishash functionsdifferential cryptanalysisSHA-2SHA-512collision attackguess-and-determine
Contact author(s)
maria eichlseder @ iaik tugraz at
History
2024-06-07: revised
2014-04-30: received
See all versions
Short URL
https://ia.cr/2014/302
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2014/302,
      author = {Maria Eichlseder and Florian Mendel and Martin Schläffer},
      title = {Branching Heuristics in Differential Collision Search with Applications to {SHA}-512},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/302},
      year = {2014},
      doi = {10.1007/978-3-662-46706-0_24},
      url = {https://eprint.iacr.org/2014/302}
}
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