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Lattice-Based Threshold Changeability for Standard Shamir Secret-Sharing Schemes | IEEE Journals & Magazine | IEEE Xplore

Lattice-Based Threshold Changeability for Standard Shamir Secret-Sharing Schemes


Abstract:

We consider the problem of increasing the threshold parameter of a secret-sharing scheme after the setup (share distribution) phase, without further communication betwee...Show More

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 nonstandard scheme designed specifically for this purpose, or to have communication between shareholders. In contrast, we show how to increase the threshold parameter of the standard Shamir secret-sharing scheme without communication between the shareholders. Our technique can thus be applied to existing Shamir schemes even if they were set up without consideration to future threshold increases.
Published in: IEEE Transactions on Information Theory ( Volume: 53, Issue: 7, July 2007)
Page(s): 2542 - 2559
Date of Publication: 31 July 2007

ISSN Information:


References

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