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Building group key establishment on group theory: A modular approach

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URI: https://hdl.handle.net/10016/36772
ISSN: 2073-8994
DOI: https://doi.org/10.3390/sym12020197
UXXI: AR/0000032356
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Building_S_2020.pdf (272.01 KB)
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2020-02
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MDPI
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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.
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This article belongs to the Special Issue Interactions between Group Theory, Symmetry and Cryptology.
Keywords
Group key establishment, Group theory, Protocol compiler, Provable security
Bibliographic citation
Bohli, J. M., González Vasco, M. I., & Steinwandt, R. (2020). Building Group Key Establishment on Group Theory: A Modular Approach. Symmetry, 12(2), 197.
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