Affiliations: [a]
Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
| [b] Cyber and Information Security Lab, Institute of Space Technology, Islamabad, Pakistan
| [c] Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan
Abstract: In this article, we have designed a new scheme for the construction of the nonlinear confusion component. Our mechanism uses the notion of a semigroup, Inverse LA-semigroup, and various other loops. With the help of these mathematical structures, we can easily build our confusion component namely substitution boxes (S-boxes) without having specialized structures. We authenticate our proposed methodology by incorporating the available cryptographic benchmarks. Moreover, we have utilized the technique for order of preference by similarity to ideal solution (TOPSIS) to select the best nonlinear confusion component. With the aid of this multi-criteria decision-making (MCDM), one can easily select the best possible confusion component while selecting among various available nonlinear confusion components.
