Image encryption algorithm based on semi-tensor product theory

Abstract

An image encryption algorithm is proposed by combining chaotic system with semi-tensor product theory. First, the four-way diffusion is performed on the plaintext image with a random interpolation. To further destroy or eliminate the image structure features, the image pixels are split into the octal plane and confused by Josephs scrambling with a variable step. Finally, the ciphertext image is obtained by performing a semi-tensor product operation on an encryption matrix. In this algorithm, the selection of the positions in the chaotic sequence is highly correlated with the plaintext image, which ensures the security of the algorithm without affecting the encryption efficiency.