Paper 2007/149 Original: eprint.iacr.org/2007/149 ↗

Towards Generating Secure Keys for Braid Cryptography

Ki Hyoung Ko
Jang Won Lee
Tony Thomas
Abstract

Braid cryptosystem was proposed in CRYPTO 2000 as an alternate public-key cryptosystem. The security of this system is based upon the conjugacy problem in braid groups. Since then, there have been several attempts to break the braid cryptosystem by solving the conjugacy problem in braid groups. In this paper, we first survey all the major attacks on the braid cryptosystem and conclude that the attacks were successful because the current ways of random key generation almost always result in weaker instances of the conjugacy problem. We then propose several alternate ways of generating hard instances of the conjugacy problem for use braid cryptography.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2007-04-25: last updated
2007-04-25: published
Short URL
https://ia.cr/2007/149
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2007/149,
      author = {Ki Hyoung Ko and Jang Won Lee and Tony Thomas},
      title = {Towards Generating Secure Keys for Braid Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/149},
      year = {2007},
      url = {https://eprint.iacr.org/2007/149}
}
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