Paper 2009/376

Cryptanalysis of the Tillich-Zémor hash function

Markus Grassl, Ivana Ilic, Spyros Magliveras, and Rainer Steinwandt

Abstract

At CRYPTO ’94, Tillich and Zémor proposed a family of hash functions, based on computing a suitable matrix product in groups of the form SL_2(F_{2^n}).We show how to construct collisions between palindromic bit strings of length 2n + 2 for Tillich and Zémor’s construction. The approach also yields collisions for related proposals by Petit et al. from ICECS ’08 and CT-RSA ’09. It seems fair to consider our attack as practical: for parameters of interest, the colliding bit strings have a length of a few hundred bits and can be found on a standard PC within seconds.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
cryptanalysishash functions
Contact author(s)
rsteinwa @ fau edu
History
2009-08-03: received
Short URL
https://ia.cr/2009/376
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/376,
      author = {Markus Grassl and Ivana Ilic and Spyros Magliveras and Rainer Steinwandt},
      title = {Cryptanalysis of the Tillich-Zémor hash function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/376},
      year = {2009},
      url = {https://eprint.iacr.org/2009/376}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.