Building Group Key Establishment on Group Theory: A Modular Approach
A group key establishment protocol is presented and proven secure in the common reference string mode. The protocol builds on a group-theoretic assumption, and a concrete example can be obtained with a decision Diffie−Hellman assumption. The protocol is derived from a two-party solution by...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/12/2/197 |
| _version_ | 1817996389516312576 |
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| author | Jens-Matthias Bohli María I. González Vasco Rainer Steinwandt |
| author_facet | Jens-Matthias Bohli María I. González Vasco Rainer Steinwandt |
| author_sort | Jens-Matthias Bohli |
| collection | DOAJ |
| description | A group key establishment protocol is presented and proven secure in the common reference string mode. The protocol builds on a group-theoretic assumption, and a concrete example can be obtained with a decision Diffie−Hellman assumption. The protocol is derived from a two-party solution by means of a protocol compiler presented by Abdalla et al. at TCC 2007, evidencing the possibility of meaningfully integrating cryptographic and group-theoretic tools in cryptographic protocol design. This compiler uses a standard ring configuration, where all users behave symmetrically, exchanging keys with their left and right neighbor, which are later combined to yield a shared group key. |
| first_indexed | 2024-04-14T02:21:36Z |
| format | Article |
| id | doaj.art-fd1a7ec5ba91491ea6826be5da17c371 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T02:21:36Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-fd1a7ec5ba91491ea6826be5da17c3712022-12-22T02:18:01ZengMDPI AGSymmetry2073-89942020-01-0112219710.3390/sym12020197sym12020197Building Group Key Establishment on Group Theory: A Modular ApproachJens-Matthias Bohli0María I. González Vasco1Rainer Steinwandt2Department of Information Technology, Mannheim University of Applied Sciences, 68163 Mannheim, GermanyMACIMTE, U. Rey Juan Carlos, 28933 Móstoles, Madrid, SpainDepartment of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USAA group key establishment protocol is presented and proven secure in the common reference string mode. The protocol builds on a group-theoretic assumption, and a concrete example can be obtained with a decision Diffie−Hellman assumption. The protocol is derived from a two-party solution by means of a protocol compiler presented by Abdalla et al. at TCC 2007, evidencing the possibility of meaningfully integrating cryptographic and group-theoretic tools in cryptographic protocol design. This compiler uses a standard ring configuration, where all users behave symmetrically, exchanging keys with their left and right neighbor, which are later combined to yield a shared group key.https://www.mdpi.com/2073-8994/12/2/197group key establishmentgroup theoryprovable securityprotocol compiler |
| spellingShingle | Jens-Matthias Bohli María I. González Vasco Rainer Steinwandt Building Group Key Establishment on Group Theory: A Modular Approach Symmetry group key establishment group theory provable security protocol compiler |
| title | Building Group Key Establishment on Group Theory: A Modular Approach |
| title_full | Building Group Key Establishment on Group Theory: A Modular Approach |
| title_fullStr | Building Group Key Establishment on Group Theory: A Modular Approach |
| title_full_unstemmed | Building Group Key Establishment on Group Theory: A Modular Approach |
| title_short | Building Group Key Establishment on Group Theory: A Modular Approach |
| title_sort | building group key establishment on group theory a modular approach |
| topic | group key establishment group theory provable security protocol compiler |
| url | https://www.mdpi.com/2073-8994/12/2/197 |
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