Public Key Protocols over Twisted Dihedral Group Rings
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 rec...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/7477 |
| _version_ | 1789406624110084096 |
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| author | Gómez Olvera, María Dolores López Ramos, Juan Antonio Torrecillas Jover, Blas |
| author_facet | Gómez Olvera, María Dolores López Ramos, Juan Antonio Torrecillas Jover, Blas |
| author_sort | Gómez Olvera, María Dolores |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-7477 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-74772023-04-12T19:39:00Z Public Key Protocols over Twisted Dihedral Group Rings Gómez Olvera, María Dolores López Ramos, Juan Antonio Torrecillas Jover, Blas cryptography non-commutative algebra public key cryptography key management group ring 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. 2020-01-17T07:20:29Z 2020-01-17T07:20:29Z 2019-08-07 info:eu-repo/semantics/article 2073-8994 http://hdl.handle.net/10835/7477 en https://www.mdpi.com/2073-8994/11/8/1019 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | cryptography non-commutative algebra public key cryptography key management group ring Gómez Olvera, María Dolores López Ramos, Juan Antonio Torrecillas Jover, Blas Public Key Protocols over Twisted Dihedral Group Rings |
| title | Public Key Protocols over Twisted Dihedral Group Rings |
| title_full | Public Key Protocols over Twisted Dihedral Group Rings |
| title_fullStr | Public Key Protocols over Twisted Dihedral Group Rings |
| title_full_unstemmed | Public Key Protocols over Twisted Dihedral Group Rings |
| title_short | Public Key Protocols over Twisted Dihedral Group Rings |
| title_sort | public key protocols over twisted dihedral group rings |
| topic | cryptography non-commutative algebra public key cryptography key management group ring |
| url | http://hdl.handle.net/10835/7477 |
| work_keys_str_mv | AT gomezolveramariadolores publickeyprotocolsovertwisteddihedralgrouprings AT lopezramosjuanantonio publickeyprotocolsovertwisteddihedralgrouprings AT torrecillasjoverblas publickeyprotocolsovertwisteddihedralgrouprings |