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- Title
Building Group Key Establishment on Group Theory: A Modular Approach.
- Authors
Bohli, Jens-Matthias; González Vasco, María I.; Steinwandt, Rainer
- Abstract
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.
- Subjects
GROUP theory; MODULAR construction; MODULAR groups; KOLMOGOROV complexity; COMPILERS (Computer programs); CRYPTOGRAPHY
- Publication
Symmetry (20738994), 2020, Vol 12, Issue 2, p197
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym12020197