Battarbee, Christopher, Kahrobaei, Delaram orcid.org/0000-0001-5467-7832 and Shahandashti, Siamak F. orcid.org/0000-0002-5284-6847 (2022) Cryptanalysis of Semidirect Product Key Exchange Using Matrices Over Non-Commutative Rings. Mathematical Cryptology. 130528. pp. 2-9.
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] used in arXiv:1304.6572, where R is a commutative ring and G is a non-abelian group, are examples of non-commutative rings that satisfy these conditions.
Metadata
Authors/Creators: |
|
---|---|
Copyright, Publisher and Additional Information: | (c) 2022 Christopher Battarbee, Delaram Kahrobaei, Siamak F. Shahandashti |
Keywords: | key exchange, cryptography, post-quantum cryptography, semidirect product, cryptanalysis, linear algebra |
Dates: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 09 Sep 2021 11:40 |
Last Modified: | 15 Feb 2024 00:19 |
Status: | Published |
Refereed: | Yes |
Related URLs: |