Evaluation of one-dimensional NMNT for security applications

Today's fast growing use of the Internet for commercial transactions has increased the demand for data protection and network security. New methods of data encryption / decryption are constantly being developed, with the aim of finding more secure, reliable and flexible systems to protect transmitted data from any possible attacks. The present work evaluates the one-dimensional New Mersenne Number Transform (1-D NMNT) for security applications by analyzing its avalanche and diffusion percentages. It is recommended for security applications, as it is sensitive; changing a single element at the input makes drastic changes in the output elements and vice versa, it is parameterized; provides variable block length, has long transform length (power of two), is error free, its inverse is the same with a scale factor of (1/N) which simplifies implementation of both encryption and decryption, and finally, fast algorithms can be applied to it to speed up processing.