Paper 2023/594

Semidirect Product Key Exchange: the State of Play

Christopher Battarbee, University of York
Delaram Kahrobaei, City University of New York
Siamak F. Shahandashti

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.

Available format(s)
Public-key cryptography
Publication info
Published elsewhere. arXiv
post-quantum cryptographygroup-based cryptographynon-interactive key exchange
Contact author(s)
kit battarbee @ york ac uk
DKahrobaei @ gc cuny edu
siamak shahandashti @ york ac uk
2023-04-28: approved
2023-04-25: received
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      author = {Christopher Battarbee and Delaram Kahrobaei and Siamak F. Shahandashti},
      title = {Semidirect Product Key Exchange: the State of Play},
      howpublished = {Cryptology ePrint Archive, Paper 2023/594},
      year = {2023},
      note = {\url{}},
      url = {}
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