Paper 2024/1418 Original: eprint.iacr.org/2024/1418 ↗
Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N})$
Abstract
We obfuscate words of a given length in a free monoid on two generators with a simple factorization algorithm (namely $SL_2(\mathbb{N})$) to create a public-key encryption scheme. We provide a reference implementation in Python and suggested parameters. The security analysis is between weak and non-existent, left to future work.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2024-09-11: last updated
- 2024-09-11: published
- Short URL
- https://ia.cr/2024/1418
- License
- https://creativecommons.org/licenses/by-nc-sa/4.0/
BibTeX
@misc{cryptoeprint:2024/1418,
author = {Robert Hines},
title = {Public-key encryption from a trapdoor one-way embedding of $SL_2(\mathbb{N})$},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/1418},
year = {2024},
url = {https://eprint.iacr.org/2024/1418}
}