Cyclical nature of matrix sequence in image information security processing: Cyclical nature of matrix sequence in image information security processing

Concerning the non-destructive information hiding in the image processing,the concept of the shift register of matrix sequence linear transformation in finite field Fq was proposed.The inherent law of scrambling transformation cycle for n-dimensional Arnold model transformation was revealed.Attributing the cycle scrambling transformation to cyclical problem of transformation matrix for modulo a prime number,the cycle of modulo the power of a prime number was determined,and the cycle of modulo a composite number was calculated.Cyclical calculation method of transformation matrix in the image information processing can achieve greater capacity of information embedded and less image distortion,and extract confidential information to realize non-destructive restoration of the original host image.