SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS
In this paper we introduce a Group Key Management protocol following the idea of the classical protocol that extends the well-known Diffie–Hellman key agreement to a group of users. The protocol is defined in a non-commutative setting, more precisely, in a twisted dihedral group ring. The protocol i...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2022
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/13970 |
| _version_ | 1789406698508648448 |
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| author | Gomez Olvera, María Dolores Lopez Ramos, Juan Antonio Torrecillas Jover, Blas |
| author_facet | Gomez Olvera, María Dolores Lopez Ramos, Juan Antonio Torrecillas Jover, Blas |
| author_sort | Gomez Olvera, María Dolores |
| collection | DSpace |
| description | In this paper we introduce a Group Key Management protocol following the idea of the classical protocol that extends the well-known Diffie–Hellman key agreement to a group of users. The protocol is defined in a non-commutative setting, more precisely, in a twisted dihedral group ring. The protocol is defined for an arbitrary cocycle, extending previous key agreements considered for two users. The main objective of this work is to show that there is no lack of security derived from the fact that a larger amount of public information is known by an external observer. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-13970 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-139702023-04-12T19:39:24Z SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS Gomez Olvera, María Dolores Lopez Ramos, Juan Antonio Torrecillas Jover, Blas group key management twisted group ring cocycle In this paper we introduce a Group Key Management protocol following the idea of the classical protocol that extends the well-known Diffie–Hellman key agreement to a group of users. The protocol is defined in a non-commutative setting, more precisely, in a twisted dihedral group ring. The protocol is defined for an arbitrary cocycle, extending previous key agreements considered for two users. The main objective of this work is to show that there is no lack of security derived from the fact that a larger amount of public information is known by an external observer. 2022-09-14T13:17:35Z 2022-09-14T13:17:35Z 2022-08-10 info:eu-repo/semantics/article 2227-7390 http://hdl.handle.net/10835/13970 10.3390/math10162845 en https://www.mdpi.com/2227-7390/10/16/2845 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | group key management twisted group ring cocycle Gomez Olvera, María Dolores Lopez Ramos, Juan Antonio Torrecillas Jover, Blas SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title | SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title_full | SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title_fullStr | SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title_full_unstemmed | SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title_short | SECURE GROUP COMMUNICATIONS USING TWISTED GROUP RINGS |
| title_sort | secure group communications using twisted group rings |
| topic | group key management twisted group ring cocycle |
| url | http://hdl.handle.net/10835/13970 |
| work_keys_str_mv | AT gomezolveramariadolores securegroupcommunicationsusingtwistedgrouprings AT lopezramosjuanantonio securegroupcommunicationsusingtwistedgrouprings AT torrecillasjoverblas securegroupcommunicationsusingtwistedgrouprings |