Paper 2021/644 Original: eprint.iacr.org/2021/644 ↗
Cryptanalysis of Semidirect Product Key Exchange Using Matrices Over Non-Commutative Rings
Abstract
It was recently demonstrated that the Matrix Action Key Exchange (MAKE) algorithm, a new type of key exchange protocol using the semidirect product of matrix groups, is vulnerable to a linear algebraic attack if the matrices are over a commutative ring. In this note, we establish conditions under which protocols using matrices over a non-commutative ring are also vulnerable to this attack. We then demonstrate that group rings $R[G]$, where $R$ is a commutative ring and $G$ is a non-abelian group, are examples of non-commutative rings that satisfy these conditions.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2021-07-27: last updated
- 2021-05-20: published
- Short URL
- https://ia.cr/2021/644
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2021/644,
author = {Christopher Battarbee and Delaram Kahrobaei and Siamak F. Shahandashti},
title = {Cryptanalysis of Semidirect Product Key Exchange Using Matrices Over Non-Commutative Rings},
howpublished = {Cryptology {ePrint} Archive, Paper 2021/644},
year = {2021},
url = {https://eprint.iacr.org/2021/644}
}