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Public Key Protocols over Twisted Dihedral Group Rings

Department of Mathematics, University of Almería, 04120 La Cañada de San Urbano, Spain
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Symmetry 2019, 11(8), 1019; https://doi.org/10.3390/sym11081019
Received: 9 July 2019 / Revised: 2 August 2019 / Accepted: 3 August 2019 / Published: 7 August 2019
PDF [1232 KB, uploaded 7 August 2019]

Abstract

Key management is a central problem in information security. The development of quantum computation could make the protocols we currently use unsecure. Because of that, new structures and hard problems are being proposed. In this work, we give a proposal for a key exchange in the context of NIST recommendations. Our protocol has a twisted group ring as setting, jointly with the so-called decomposition problem, and we provide a security and complexity analysis of the protocol. A computationally equivalent cryptosystem is also proposed.
Keywords: cryptography; non-commutative algebra; public key cryptography; key management; group ring cryptography; non-commutative algebra; public key cryptography; key management; group ring
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Olvera, M.D.G.; Ramos, J.A.L.; Jover, B.T. Public Key Protocols over Twisted Dihedral Group Rings. Symmetry 2019, 11, 1019.

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