Text encryption by image encryption key with based on generalized singular value decomposition (GSVD)

Abstract

This paper we will address the encryption process text is generally through a number of processes of dispersion of the later values in a matrix is A through remittances linear in addition to the use of GSVD enters, including one key which is gray image or to be possible colored but to be converted to a grayscale image, where work will begin the application process distracting initial. In a compound to generate new matrices B1 and B2 of the original text matrix and which enters the mean of the matrix of images key.The second phase of the dispersion is using GSVD on the last matrices with the matrix of the key and switch C matrix among the two spectral for the new matrices B1 with key and B2 with key to generation new matrices B11,B22, which represents putting as correlative F = [B11;B22] who represents the matrix of the initial of the encoded text. For purpose of ascertaining the accuracy of the work we calculated the matrix of absolute value of the difference between the matrix of numbers for original text characters lettering before encryption and matrix of numbers for text characters after decryption to show us zero matrix, as well as the calculation of the average values of this matrix was zero.