Paper 2005/264 Original: eprint.iacr.org/2005/264 ↗

On an authentication scheme based on the Root Problem in the braid group

Boaz Tsaban
Abstract

Lal and Chaturvedi proposed two authentication sche\-mes presumably based on the difficulty of the Root Problem in the braid group. We describe a deterministic linear time algorithm to crack the first scheme, and show that the second scheme is not more secure than schemes based on the Conjugacy Search Problem, and can therefore be cracked by existing heuristic attacks with very good success probability, as long as the parameters are practical.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2009-05-10: last updated
2005-08-11: published
Short URL
https://ia.cr/2005/264
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2005/264,
      author = {Boaz Tsaban},
      title = {On an authentication scheme based on the Root Problem in the braid group},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/264},
      year = {2005},
      url = {https://eprint.iacr.org/2005/264}
}
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