Paper 2005/070 Original: eprint.iacr.org/2005/070 ↗
On public-key cryptosystems based on combinatorial group theory
Abstract
We analyze and critique the public-key cryptosystem, based on combinatorial group theory, that was proposed by Wagner and Magyarik in 1984. This idea is actually not based on the word problem but on another, generally easier, premise problem. Moreover, the idea of the Wagner-Magyarik system is vague, and it is difficult to find a secure realization of this idea. We describe a public-key cryptosystem inspired in part by the Wagner-Magyarik idea, but we also use group actions on words.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2005-03-02: last updated
- 2005-03-02: published
- Short URL
- https://ia.cr/2005/070
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2005/070,
author = {Jean-Camille Birget and Spyros S. Magliveras and Michal Sramka},
title = {On public-key cryptosystems based on combinatorial group theory},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/070},
year = {2005},
url = {https://eprint.iacr.org/2005/070}
}