MAKE: a Matrix Action Key Exchange

Nael Rahman; Vladimir Shpilrain

Paper 2021/116 Original: eprint.iacr.org/2021/116 ↗

MAKE: a Matrix Action Key Exchange

Nael Rahman

Vladimir Shpilrain

Abstract

We offer a public key exchange protocol based on a semidirect product of two cyclic (semi)groups of matrices over Z_p. One of the (semi)groups is additive, the other one multiplicative. This allows us to take advantage of both operations on matrices to diffuse information. We note that in our protocol, no power of any matrix or of any element of Z_p is ever exposed, so all standard attacks on Diffie-Hellman-like protocols are not applicable.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2021-02-16: last updated; 2021-02-05: published
Short URL: https://ia.cr/2021/116
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/116,
      author = {Nael Rahman and Vladimir Shpilrain},
      title = {MAKE: a Matrix Action Key Exchange},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/116},
      year = {2021},
      url = {https://eprint.iacr.org/2021/116}
}