Paper 2008/173 Original: eprint.iacr.org/2008/173 ↗

Full Cryptanalysis of LPS and Morgenstern Hash Function

Christophe Petit
Kristin Lauter
Jean-Jacques Quisquater
Abstract

Collisions in the LPS cryptographic hash function of Charles, Goren and Lauter have been found by Zémor and Tillich, but it was not clear whether computing preimages was also easy for this hash function. We present a probabilistic polynomial time algorithm solving this problem. Subsequently, we study the Morgenstern hash, an interesting variant of LPS hash, and break this function as well. Our attacks build upon the ideas of Zémor and Tillich but are not straightforward extensions of it. Finally, we discuss fixes for the Morgenstern hash function and other applications of our results.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2008-04-21: last updated
2008-04-21: published
Short URL
https://ia.cr/2008/173
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/173,
      author = {Christophe Petit and Kristin Lauter and Jean-Jacques Quisquater},
      title = {Full Cryptanalysis of LPS and Morgenstern Hash Function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/173},
      year = {2008},
      url = {https://eprint.iacr.org/2008/173}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.