Generalization of Advanced Encryption Standard Based on Field of Any Characteristic

Abstract

Nowadays most communications are done by utilizing digital transmission mechanisms. The security of this digital information transmitted through different communication systems is quite important. The secrecy of digital data is one of the burning topics of the digitally developed world. There exist many traditional algorithms in the literature to provide methods for robust communication. The most important and recent modern block cipher named the advanced encryption standard (AES) is one of the extensively utilized encryption schemes with binary based. AES is a succession of four fundamental steps: round key, sub-byte, shift row, and mix column. In this work, we will provide an innovative methodology for extending the AES in a Galois field with any characteristic p. All four steps in the fundamental process with binary characteristics will be adjusted because of the new enhancement. By applying double affine transformations, we have enhanced the number of options in our suggested substitution boxes. The reconstruction of the nonlinear confusion component and encryption structure provides robustness in the generalized AES. The increase in the keyspace due to the Galois field generalization implies that we have improved additional confusion abilities and broadened the current notions. The implementation of the proposed structure of AES for image, audio, and video encryption will provide high security for secure communication.