The application provides a secret
image sharing method,
system and related device combining share compression and public share, splits secret image pixels, realizes lossless secret
image sharing in a prime field or a Galois field with a modulus less than or equal to the number of pixels, and avoids pixel overflow. An entity user share and the split secret image pixels which are irrelevant to the secret image are used to construct a shared polynomial, the entity user share is compressed into a key, the load and
attack risk caused by share transmission are avoided, the public share is further generated by the shared polynomial and stored in the cloud, and the fraud of the entity user and the
virtual user is prevented by combining with the hash
verification. When the secret image is reconstructed, the entity user provides a
key generation share, the cloud provides a public share, the secret image is recovered by Lagrange interpolation, and the reconstruction can be successfully completed only when the threshold condition is met. The effective compression of the entity user share, the
safe storage and
verification of the public share in the cloud, and the security, integrity and transmission efficiency of the secret
image sharing and reconstruction are significantly improved.