A Novel General (n, n)-Threshold Multiple Secret Images Sharing Scheme Based on Information Hiding in the Sharing Domain

Abstract

(k,n)-threshold secret image sharing (SIS) protects an image by dividing it into n shadow images. The secret image will be recovered as we gather k or more shadow images. In complex networks, the security, robustness and efficiency of protecting images draws more and more attention. Thus, we realize multiple secret images sharing (MSIS) by information hiding in the sharing domain (IHSD) and propose a novel and general (n,n)-threshold IHSD-MSIS scheme (IHSD-MSISS), which can share and recover two secret images simultaneously. The proposed scheme spends less cost on managing and identifying shadow images, and improves the ability to prevent malicious tampering. Moreover, it is a novel approach to transmit important images with strong associations. The superiority of (n,n)-threshold IHSD-MSISS is in fusing the sharing phases of two secret images by controlling randomness of SIS. We present a general construction model and algorithms of the proposed scheme. Sufficient theoretical analyses, experiments and comparisons show the effectiveness of the proposed scheme.

Blockchain-based authenticable (k,n) multi-secret image sharing scheme

“…Most XOR-based schemes, such as those in Refs. 10, 15, 17, and 20, are based on (n,n) access structures, which do not have tolerance power. Our proposed scheme has a tolerance capability of (n−k) shares because even if (n−k) shares get damaged or corrupted, then secrets can be reconstructed using the remaining shares.…”

“…In 2022, Xing et al. introduced a novel MSIS scheme based on a (n,n) general access structure 15 to accurately recreate the secrets without any loss of information. However, the verification of shares was not considered in their proposed method.…”

“…In 2020, Nag et al 14 introduced a multi-SS system based on a general access structure of size ðn; nÞ to enhance the shareability of secrets by enabling the simultaneous reconstruction of n secrets from n shares without any distortion. In 2022, Xing et al introduced a novel MSIS scheme based on a ðn; nÞ general access structure 15 to accurately recreate the secrets without any loss of information. However, the verification of shares was not considered in their proposed method.…”