Paper 2007/149

Towards Generating Secure Keys for Braid Cryptography

Ki Hyoung Ko, Jang Won Lee, and 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 PS
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
braid groupconjugacy problemsecure key
Contact author(s)
knot @ knot kaist ac kr
History
2007-04-25: received
Short URL
https://ia.cr/2007/149
License
Creative Commons Attribution
CC BY

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},
      note = {\url{https://eprint.iacr.org/2007/149}},
      url = {https://eprint.iacr.org/2007/149}
}
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