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Title: Dynamic Group Diffie-Hellman Key Exchange under standard assumptions

Abstract

Authenticated Diffie-Hellman key exchange allows two principals communicating over a public network, and each holding public-private keys, to agree on a shared secret value. In this paper we study the natural extension of this cryptographic problem to a group of principals. We begin from existing formal security models and refine them to incorporate major missing details (e.g., strong-corruption and concurrent sessions). Within this model we define the execution of a protocol for authenticated dynamic group Diffie-Hellman and show that it is provably secure under the decisional Diffie-Hellman assumption. Our security result holds in the standard model and thus provides better security guarantees than previously published results in the random oracle model.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director, Office of Science. Office of Advanced Scientific Computing Research. Mathematical, Information, and Computational Sciences Division (US)
OSTI Identifier:
792949
Report Number(s):
LBNL-49087
R&D Project: K52007; TRN: US200206%%106
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Conference
Resource Relation:
Conference: Eurocrypt 2002, Amsterdam (NL), 04/28/2002--05/02/2002; Other Information: PBD: 14 Feb 2002
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; SECURITY; COMPUTER NETWORKS; SECRECY PROTECTION; MATHEMATICAL MODELS

Citation Formats

Bresson, Emmanuel, Chevassut, Olivier, and Pointcheval, David. Dynamic Group Diffie-Hellman Key Exchange under standard assumptions. United States: N. p., 2002. Web.
Bresson, Emmanuel, Chevassut, Olivier, & Pointcheval, David. Dynamic Group Diffie-Hellman Key Exchange under standard assumptions. United States.
Bresson, Emmanuel, Chevassut, Olivier, and Pointcheval, David. Thu . "Dynamic Group Diffie-Hellman Key Exchange under standard assumptions". United States. https://www.osti.gov/servlets/purl/792949.
@article{osti_792949,
title = {Dynamic Group Diffie-Hellman Key Exchange under standard assumptions},
author = {Bresson, Emmanuel and Chevassut, Olivier and Pointcheval, David},
abstractNote = {Authenticated Diffie-Hellman key exchange allows two principals communicating over a public network, and each holding public-private keys, to agree on a shared secret value. In this paper we study the natural extension of this cryptographic problem to a group of principals. We begin from existing formal security models and refine them to incorporate major missing details (e.g., strong-corruption and concurrent sessions). Within this model we define the execution of a protocol for authenticated dynamic group Diffie-Hellman and show that it is provably secure under the decisional Diffie-Hellman assumption. Our security result holds in the standard model and thus provides better security guarantees than previously published results in the random oracle model.},
doi = {},
url = {https://www.osti.gov/biblio/792949}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2002},
month = {2}
}

Conference:
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