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On the Computational Security of a Distributed Key Distribution Scheme

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2008 Spain Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Computers, volume 57, pages 1,087-1,097 (issn: 0018-9340, eissn: 2326-3814,

Authors: Daza, Vanesa; Herranz Sotoca, Javier; Sáez Moreno, Germán;

doi: 10.1109/tc.2008.50

handle: 10230/20428 , 2117/2170 , 10261/161146

On the Computational Security of a Distributed Key Distribution Scheme

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Abstract

In a distributed key distribution scheme, a set of servers helps a set of users in a group to securely obtain a common key. Security means that an adversary who corrupts some servers and some users has no information about the key of a noncorrupted group. In this work, we formalize the security analysis of one such scheme which was not considered in the original proposal. We prove the scheme is secure in the random oracle model, assuming that the Decisional Diffie-Hellman (DDH) problem is hard to solve. We also detail a possible modification of that scheme and the one in which allows us to prove the security of the schemes without assuming that a specific hash function behaves as a random oracle. As usual, this improvement in the security of the schemes is at the cost of an efficiency loss.

The work of the first two authors was partially supported by the Spanish Ministry of Education and Science under Projects TSI2007-65406-C03-02 (“eAEGIS”) and CONSOLIDER CSD2007-00004 (“ARES”). The work of V. Daza was also supported by the Government of Catalonia under Grant 2005-SGR-00446. The work of J. Herranz was also supported by the Government of Catalonia under Grant 2005-SGR-00093. Finally, the work of G. Sáez was partially supported by the/nSpanish Ministry of Education and Science under Project TSI2006-02731.

Country

Spain

Related Organizations

Universitat Politècnica de Catalunya
Spain
Spanish National Research Council
Spain
Universitat Pompeu Fabra
Spain
Universitat Rovira i Virgili
Spain
Universitat Polite`cnica de Catalunya
Spain

Keywords

Information and Communication Applications, Information and Communication Applications, Inc., :94 Information And Communication, Circuits::94A Communication, information [Classificació AMS], Comunicació, Provable security, Classificació AMS::94 Information And Communication, Informació, Criptografia, Key distribution, information, Classificació AMS::94 Information And Communication, Circuits::94A Communication, information, Inc, Cryptography, Circuits::94A Communication, Secret sharing schemes

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