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2008
Springer

Analysis and Design of Multiple Threshold Changeable Secret Sharing Schemes

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Analysis and Design of Multiple Threshold Changeable Secret Sharing Schemes
In a (r, n)-threshold secret sharing scheme, no group of (r - 1) colluding members can recover the secret value s. However, the number of colluders is likely to increase over time. In order to deal with this issue, one may also require to have the ability to increase the threshold value from r to r (> r), such an increment is likely to happen several times. In this paper, we study the problem of threshold changeability in a dealer-free environment. First, we compute a theoretical bound on the information and security rate for such a secret sharing. Second, we show how to achieve multiple threshold change for a Chinese Remainder Theorem like scheme. We prove that the parameters of this new scheme asymptotically reach the previous bound.
Tiancheng Lou, Christophe Tartary
Added 12 Oct 2010
Updated 12 Oct 2010
Type Conference
Year 2008
Where CANS
Authors Tiancheng Lou, Christophe Tartary
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