Battarbee, Christopher, Kahrobaei, Delaram orcid.org/0000-0001-5467-7832, Perret, Ludovic et al. (1 more author) (2024) A Subexponential Quantum Algorithm for the Semdirect Discrete Logarithm Problem. In: Post-Quantum Cryptography 2024:proceedings. Post-Quantum Cryptography 2024, 12-14 Jun 2024 Lecture Notes in Computer Science . , GBR , 202–226.
Abstract
Group-based cryptography is a relatively unexplored family in post-quantum cryptography, and the so-called Semidirect Discrete Logarithm Problem (SDLP) is one of its most central problems. However, the complexity of SDLP and its relationship to more well-known hardness problems, particularly with respect to its security against quantum adversaries, has not been well understood and was a significant open problem for researchers in this area. In this paper we give the first dedicated security analysis of SDLP. In particular, we provide a connection between SDLP and group actions, a context in which quantum subexponential algorithms are known to apply. We are therefore able to construct a subexponential quantum algorithm for solving SDLP, thereby classifying the complexity of SDLP and its relation to known computational problems.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author-produced version of the published paper. Uploaded in accordance with the University’s Research Publications and Open Access policy. |
Keywords: | discrete logarithm,semidirect product,group-based cryptography,semidirect-product key exchange,key exchange |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 04 Apr 2024 09:20 |
Last Modified: | 22 Nov 2024 00:17 |
Published Version: | https://doi.org/10.1007/978-3-031-62743-9_7 |
Status: | Published |
Series Name: | Lecture Notes in Computer Science |
Identification Number: | 10.1007/978-3-031-62743-9_7 |
Sustainable Development Goals: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:200230 |
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Description: A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem
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