Research On Image Encryption Processing Based On Pseudo-center Invertible Matrix

In the era of 5G big data,the concept of "Internet+" has gradually come into public view and its application is becoming increasingly widespread.With the development of big data technology,the dissemination and circulation of information is also more convenient.As one of the important channels to obtain information,the security problem is becoming more and more prominent,which makes the research of encryption method more and more urgent.Image encryption technology has become a hot topic in the field of communication and transmission security.This paper mainly investages the image encryption method based on the matrix on the residual class ring:In the first part,the definition of pseudo-center invertible matrix over a ring is given and its related properties are studied.The corresponding image encryption algorithm is constructed according to the related properties.An example is given according to the algorithm.The example proves that the encryption algorithm is feasible and the encryption effect is good.In the second part,the definition of double pseudo center-invertible matrix is given and the related properties are researched.The example shows that the corresponding encryption algorithm can effectively increase the cracking complexity and enhance the security of information transmission.In the third part,in order to solve the problem of long time and low efficiency in searching the third-order matching matrix with traversal algorithm,a kind of intelligent optimization algorithm-cuckoo algorithm is introduced to carry out random search.The numerical example shows that the method is efficient and easy to implement.In the fourth part,taking the third and fourth order block pseudo-center invertible matrixas as an example,whether the high-order block matrices composed of lower order pseudo-center invertible matrixs constitute pseudo-center invertible matrixs is discussed.It is proved that the third order diagonal matrix composed of lower order pseudo-center invertible matrixs is still pseudo-center invertible matrix.Finally,the feasibility of constructing the fourth order pseudo-center invertible matrix from the lower order pseudo-center invertible matrix is researched.