Polynomial Substitution Based Image Encryption Using Shamir Scheme
R. Vidhya, M. Brindha · SSRN Electronic Journal · 2019
An efficient (𝑡, 𝑛) secret sharing is proposed for encryption of images based on polynomial substitution with Shamir secret sharing. The proposed technique enciphers the secret image as two different images: one is made public which is the enciphered image and additional other one is secret that can be shared among the 𝑛 members. In the proposed method, 𝑡 − shares are implemented by 𝑛 −participants. The pixel values of the secret image are treated as the co-efficient in the polynomial equation. The reconstruction of the shares is done by the 𝑛 −participants and the probability of recovering the whole image is (1/256) 𝑚 without any errors. It reveals that the implemented scheme is highly secure from attacks. By solving the polynomial equations using recovered 𝑡 −values the secret image can be recovered. A security analysis is also performed for the proposed method to shows its efficiency.