An efficient and effective matrix and transformation based Cryptographic algorithm

In this paper, we demonstrated the application of the Abaoub Shkheam transform, the Gupta integral transform, and the matrix decomposition of the non-singular matrix to improve the security of two-way communication. In 2024, Khalat et al. utilized the matrix-based technique to examine the word ”[weather]” in the form of a third-order matrix solution and using the Abaoub Shkheam transform [14]. In this work, we have extended the work of Khalat et al. and the new cryptography procedure is established for the sentence ”THE FLOWERS ARE SO COLORFUL” and compared the results with two transformations, namely the Abaoub Shkheam transform and the Gupta integral transform. The purpose of this study, is to develop a technique for data encryption and decryption utilizing matrix decomposition, Gupta integral transform and Abaoub Shkheam transform. For encryption, select the plain text as the original data and transfer it to encrypted text using the hyperbolic function and lower triangular matrix for encryption. Secondly, for decryption using the inverse suggested transformations, a hyperbolic function and the upper triangular matrix. The current procedure can be understand easily by using tabular data.