You are looking at a specific version 20210727:131549 of this paper. See the latest version.

Paper 2021/644

Cryptanalysis of Semidirect Product Key Exchange Using Matrices Over Non-Commutative Rings

Christopher Battarbee and Delaram Kahrobaei and Siamak F. Shahandashti

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
Published elsewhere. Minor revision. arXiv
Keywords
key-exchange protocollinear algebraic cryptanalysis
Contact author(s)
cb2036 @ york ac uk
History
2021-07-27: revised
2021-05-20: received
See all versions
Short URL
https://ia.cr/2021/644
License
Creative Commons Attribution
CC BY
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.