What question did this study set out to answer?

The primary aim is to investigate the Semidirect Product Key Exchange and its efficiency compared to existing methods.

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January 26, 2026Open Access

To The Study of Platforms for the Semidirect Product Key Exchange

Key Points

The primary aim is to investigate the Semidirect Product Key Exchange and its efficiency compared to existing methods.
Analyzed the Semidirect Product Key Exchange architecture.
Classified the quantum complexity of the semidirect discrete logarithm problem.
Compared the new protocol with standard Diffie-Hellman methods.
The new method offers notable advantages over traditional Diffie-Hellman protocol.
Demonstrated the relevance of the semidirect discrete logarithm problem.
Classified various cryptosystems based on the semidirect computational difficulty.

Abstract

It starts with the Semidirect Product Key Exchange (SDPKE), which is an extension of the Diffie-Hellman Key Exchange, and uses the difficulty of the Semidirect Computational Diffie-Hellman Problem to analyze various cryptosystems. We also think of the semidirect discrete logarithm problem as a cryptographic group action and classify its quantum complexity as a result. This problem has been overlooked despite its relevance. In particular, our protocol may be based on any non-commutative group. There are some superficial parallels between our method and the standard Diffie-Hellman protocol, but we believe our technique is preferable due to many important changes.

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