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GBD threshold cryptography with an application to RSA key recovery

Steketee, Chris , Brown, Jaimee, Gonzalez Nieto, Juan M., & Montague, Paul (2005) GBD threshold cryptography with an application to RSA key recovery. Lecture Notes in Computer Science, 3574, pp. 394-405.

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Abstract

We present protocols for threshold cryptography in the GBD public-key cryptosystem. Both threshold decryption and threshold key generation are covered, in the 'honest-but-curious' setting. This shows that it is possible to perform GBD computations in a distributed manner during both key generation and decryption, without revealing the private key to any party. GBD threshold decryption is similar to El-Gamal threshold decryption. GBD threshold key generation is based on adaptations of protocols for RSA key generation by Boneh and Franklin, and Catalano et al, and includes a new protocol for efficiently computing the inverse of a shared secret modulo another shared secret.

We also show an application of GBD threshold cryptography to RSA key recovery. This is based on the use of GBD as a master cryptosystem, whose use allows generation by individual users of RSA moduli that can be factored by using the GBD private key as trapdoor information. This application requires RSA key generation to be tailored, but other operations are standard RSA. Clearly, compromise of the GBD private key would compromise all corresponding RSA private keys, so the security of the GBD master private key should be stronger than the security of the individual RSA keys, and this can be achieved using threshold methods. Finally, we point out two open problems in the RSA key recovery application.

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ID Code: 1054
Item Type: Journal Article
Additional Information: Information Security and Privacy: 10th Australasian Conference, ACISP 2005, Brisbane, Australia, July 4-6, 2005. Proceedings
DOI: 10.1007/11506157_33
ISBN: 9783540265474
ISSN: 1611-3349
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Format not elsewhere classified (080499)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Encryption (080402)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Past > QUT Faculties & Divisions > Faculty of Science and Technology
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2005 Springer
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher. This is the author-version of the work. Conference proceedings published, by Springer Verlag, will be available via SpringerLink. http://www.springer.de/comp/lncs/ Lecture Notes in Computer Science
Deposited On: 13 Oct 2005
Last Modified: 20 Aug 2013 14:11

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