Lattice-based threshold-changeability for standard CRT secret-sharing schemes

Steinfeld, Ron, Pieprzyk, Josef, & Wang, Huaxiong (2006) Lattice-based threshold-changeability for standard CRT secret-sharing schemes. Finite Fields and Their Applications, 12(4), pp. 653-680.

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Abstract

We consider the problem of increasing the threshold parameter of a secret-sharing scheme after the setup (share distribution) phase, without further communication between the dealer and the shareholders. Previous solutions to this problem require one to start off with a non-standard scheme designed specifically for this purpose, or to have secure channels between shareholders. In contrast, we show how to increase the threshold parameter of the standard CRT secret-sharing scheme without secure channels between the shareholders. Our method can thus be applied to existing CRT schemes even if they were set up without consideration to future threshold increases.

Our method is a positive cryptographic application for lattice reduction algorithms, and we also use techniques from lattice theory (geometry of numbers) to prove statements about the correctness and information-theoretic security of our constructions.

Impact and interest:

10 citations in Scopus
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8 citations in Web of Science®

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ID Code: 74252
Item Type: Journal Article
Refereed: Yes
Additional Information: Special Issue Celebrating Prof. Zhe-Xian Wan's 80th Birthday
DOI: 10.1016/j.ffa.2005.04.007
ISSN: 1071-5797
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 22 Jul 2014 03:24
Last Modified: 22 Jul 2014 23:06

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