Of the many families of cryptographic schemes proposed to be post-quantum, a relatively unexplored set of examples comes from group-based cryptography. One of the more central schemes from this area is the so-called Semidirect Product Key Exchange (SDPKE), a generalisation of Diffie-Hellman Key Exchange that is plausibly post-quantum. In this report we survey the state of the literature relating to SDPKE, providing a high-level discussion of security, as well as a comprehensive overview of the proposed platforms and the main cryptanalytic ideas relevant to each.
@article{arxiv.2202.05178,
title = {Semidirect Product Key Exchange: the State of Play},
author = {Christopher Battarbee and Delaram Kahrobaei and Siamak F. Shahandashti},
journal= {arXiv preprint arXiv:2202.05178},
year = {2023}
}