A Hierarchical Manageability Reversible Data Hiding Based on the Encrytion Process of Shamir's Secret Sharing

In order to achieve hierarchical management of ciphertext access in cloud space, this paper proposes a hierarchical reversible data hiding technique in the encrypted domain based on the construction redundancy of Shamir's secret sharing. Firstly, different chaotic sequences are allocated as hiding keys to protect secret information at various levels. Then, the sharing key is distributed according to the hierarchical relationship to ensure controllable data access at different levels. During the process of secret sharing encryption based on Lagrange interpolation polynomials, we directly control polynomial construction parameters to enable reversible data hiding while carrying out threshold sharing with disaster tolerance. By further implementing sharing encryption on the obtained ciphertext shadow, users from different layers can be linked for access. Storing the ciphertext in a distributed manner enhances information security of the cloud space since no valid information can be obtained from a single ciphertext shadow. Additionally, our scheme exhibits strong disaster recovery performance due to its retention of secret sharing's threshold feature for lossless recovery and accurate extraction. Simulation experiments verify that when setting [2], [3] as the threshold for the first layer and [2], [2] and [2], [3] as thresholds for second layer shared shadows respectively, our scheme achieves a significant embedding capacity of 4 bpp while extending ciphertext size to 6.