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Abstract
We discuss some applications of 3-manifold topology to cryptography. In particular, we propose a public-key and a symmetric-key cryptographic scheme based on the Thurston norm on the first cohomology of hyperbolic manifolds.
2010 Mathematics Subject Classification:
Acknowledgments
The authors thank the anonymous referees for their careful reading of the manuscript and for their helpful comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
Ramón Flores is partially supported by FEDER-MINECO (Ministerio de Economia y Competitividad) [grant number MTM2016-76453-C2-1-P]; Delaram Kahrobaei was supported by the ONR (Office of Naval Research) [grant number N000141512164]; Thomas Koberda is partially supported by an Alfred P. Sloan Foundation Research Fellowship and by NSF-Center for Hierarchical Manufacturing, National Science Foundation [grant number DMS-1711488].