Mignotte Sequence-Based Weighted Threshold Secret Image Sharing

Shu Ma, Ming Chu Li, Cheng Guo · Applied Mechanics and Materials · 2014

In traditional secret image sharing schemes, participants have the same status and shadow images are of approximately equal importance, which cannot satisfy some special requirements in the real situation. In this paper, we consider the problem of secret image sharing with the weighted threshold access structure, which means different participants can have different status and significance. Under the circumstance, each shadow image has one weight, and the secret image can be losslessly reconstructed, if and only if the sum of all shadow images weights is no less than the given weight threshold. In our scheme, we first construct the weighted threshold access structure of shadow images using the weighted threshold secret sharing scheme. Then, we employ the quantization operation to embed the secret image information into a host image to generate shadow images with different weights. In the retrieving procedure, a set of shadow images satisfying the weighted threshold can be utilized to restore the distortion-free secret image.

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