Digital image encryption based on Gauss-Markov random encryption matrix

To solve the problem of encryption matrix is difficult to construct, a novel encryption matrix constructing algorithm is proposed in this paper. First, a stochastic sequence is generated by Gauss-Markov process. Then, convert the elements of this sequence into integers and multiple the selected matrices with determinant D=1 each other by using tensor production method. Thus, we can construct some high order encryption matrices and use it in real world application. The encryption instance and theoretical analysis show that the proposed algorithm can produce encryption matrices with high security, and have good random characteristics and autocorrelation to meet the requirement of cryptography.