Paper 2014/528 Original: eprint.iacr.org/2014/528 ↗
Groups With Two Generators Having Unsolvable Word Problem And Presentations of Mihailova Subgroups
Abstract
A presentation of a group with two generators having unsolvable word problem and an explicit countable presentation of Mihailova subgroup of F_2×F_2 with finite number of generators are given. Where Mihailova subgroup of F_2×F_2 enjoys the unsolvable subgroup membership problem.One then can use the presentation to create entities' private key in a public key cryptsystem.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2014-07-08: last updated
- 2014-07-08: published
- Short URL
- https://ia.cr/2014/528
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2014/528,
author = {Xiaofeng Wang and Chen Xu and Guo Li and Hanling Lin},
title = {Groups With Two Generators Having Unsolvable Word Problem And Presentations of Mihailova Subgroups},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/528},
year = {2014},
url = {https://eprint.iacr.org/2014/528}
}