Secure Group Communications Using Twisted Group Rings

María Dolores Gómez Olvera, Juan Antonio López Ramos () and Blas Torrecillas Jover
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María Dolores Gómez Olvera: Department of Mathematics, University of Almeria, 04120 Almeria, Spain
Juan Antonio López Ramos: Department of Mathematics, University of Almeria, 04120 Almeria, Spain
Blas Torrecillas Jover: Department of Mathematics, University of Almeria, 04120 Almeria, Spain

Mathematics, 2022, vol. 10, issue 16, 1-16

Abstract: 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.

Keywords: group key management; twisted group ring; cocycle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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