A novel weighted threshold secret image sharing scheme^†

Abstract

In traditional secret image sharing schemes, the participants have the same status, and shadow images are of approximately equal importance, which cannot satisfy some special requirements in real situations. In this paper, we considered the problem of secret image sharing with the weighted threshold access structure, which means different participants can have different status and significance. With this approach, each shadow image has one weight, and the secret image can be reconstructed losslessly if, and only if, the sum of all of the shadow images' weights is no less than the given weight threshold. In our scheme, we constructed the weighted threshold access structure of shadow images using the weighted threshold secret sharing scheme. Then, we used the quantization operation to embed the secret image's information into a host image to generate shadow images with different weights. In the retrieving procedure, a set of shadow images that satisfied the weighted threshold was utilized to restore the distortion-free secret image. Our experimental results confirmed that the proposed scheme was feasible, and both the visual quality of the shadow images and the embedding capacity of the host images were satisfactory.

A Weighted Threshold Secret Sharing Scheme for Remote Sensing Images Based on Chinese Remainder Theorem

“…Many verifiable secret sharing schemes are proposed to solve the deception attack in secret sharing. The verifiable secret sharing scheme [Harn and Miao (2014); Li, Ma and Guo (2015)] increased the secret sharing process and improved the security of secret sharing. In order to increase the security and practicability of the scheme, many dynamic weighted secret sharing schemes are proposed [Wu and Tseng (2011); Harn and Lin (2010)].…”

An Efficient Essential Secret Image Sharing Scheme Using Derivative Polynomial

“…In the reconstruction phase, the secret image can be recovered only if the total weights of the collected shadows reach the pre-defined threshold. Afterwards, Chen et al [14], Li et al [15] and Lin et al [16] also improved the WSIS scheme in different ways. The HSIS scheme uses polynomial derivatives and Birkhoff interpolation to generate shadows with different priorities.…”