A novel (k_1,k_2,n)-threshold two-in-one secret image sharing scheme for multiple secrets

摘要

A two-in-one secret image sharing scheme (TiOSISS) is the combination of two different secret image sharing schemes (SISSs), which has advantages of both schemes, such as the simple stacking-to-see property and precise recovery with computing devices available. Since most of current TiOSISSs depend on steganography techniques, it results in several drawbacks, such as large pixel expansion and poor visual quality with shares stacking. Besides, researchers ignore the independence between two different SISSs, that is, both SISSs should deal with irrelevant secret images with different thresholds. By controlling the randomness of the sharing phase according to constraints from both SISSs, we combine polynomial-based SISS (PSISS) and random-grid-based visual cryptography scheme (RGVCS) together, and propose an ideal (k(1),k(2), n)-threshold TiOSISS for multiple secrets. The proposed TiOSISS not only overcomes drawbacks above, but also has high scalability to improve its performances by utilizing different RGVCSs. Sufficient analyses and experiments are provided to verify its security and effectiveness.