An analytical approach to s-box generation

Using analytical approaches we show how to construct symmetric and asymmetric substitution boxes that are highly resistant to linear and differential cryptanalysis. The objective of this work is to generate s-boxes that meet the Strict Avalanche Criteria (SAC), are non-linear and possess a high degree of resistance to differential cryptanalysis. Our approach shows that it is possible to generate s-boxes that exhibit a SAC compliance of 70% without compromising on the robustness.