A New Lossless Secret Image Sharing Scheme for Grayscale Images with Small Shadow Size

The current paper offers a lossless (k, n)-threshold scheme with reduced shadow size using the algebraic properties of the polynomial ring \(\mathbb {Z}_{251}[x]\) over the field \(\mathbb {Z}_{251}\). Unlike most of the existing secret image sharing schemes, our scheme does not require any preprocessing steps in order to transform the image into a random image to avoid data leakage from the shares of the secret image. Moreover, the efficiency of our proposed scheme is explained through security analysis and demonstrated through simulation results.