# American Institute of Mathematical Sciences

2010, 4(3): 381-398. doi: 10.3934/amc.2010.4.381

## Attribute-based group key establishment

 1 Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, United States 2 Departamento de Matemáticas, Universidad de Oviedo, 33007 Oviedo, Spain

Received  November 2009 Revised  April 2010 Published  August 2010

Motivated by the problem of establishing a session key among parties based on the possession of certain credentials only, we discuss a notion of attribute-based key establishment. A number of new issues arise in this setting that are not present in the usual settings of group key establishment where unique user identities are assumed to be publicly available.
After detailing the security model, we give a two-round solution in the random oracle model. As main technical tool we introduce a notion of attribute-based signcryption, which may be of independent interest. We show that the type of signcryption needed can be realized through the encrypt-then-sign paradigm. Further, we discuss additional guarantees of the proposed protocol, that can be interpreted in terms of deniability and privacy.
Citation: Rainer Steinwandt, Adriana Suárez Corona. Attribute-based group key establishment. Advances in Mathematics of Communications, 2010, 4 (3) : 381-398. doi: 10.3934/amc.2010.4.381
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