AN IMPROVED DESIGN OF SUBSTITUTION BOX BASED ON CHAOS AND AN ALGEBRAIC FUNCTION

In today’s digital world, it is crucial to have strong security measures to protect data when it is being transferred. In the domain of symmetric-key cryptography, the protection of the ciphers, such as state-of-the-art AES method requires sufficiently large key length of [Formula: see text] bits or more. The advent of quantum computers has made it a pressing priority to promote and upgrade the design of the symmetric ciphers. This calls attention to the block ciphers and their confusion components. In this research paper, we explore an effective method of creating special algorithm for substitution, which helps to enhance security and keep information confidential. Our innovative approach involves an intelligent algebraic function based on the Galois field operations in association with chaos to design the S-box with outstanding qualities. By combining the power of chaotic maps and algebraic functions, we achieve a high level of complexity in S-box. Our main goals are to reduce the amount of computational work needed and maximize the effect of important features of S-boxes, like how well they scramble data and their ability to withstand attacks. This research presents a significant advancement in S-Box design, opening up more functioning possibilities for even stronger data security.