Soto, RicardoCrawford, BroderickGonzález Molina, FranciscoOlivares, Rodrigo2022-11-302022-11-302021R. Soto, B. Crawford, F. G. Molina and R. Olivares, "Human Behaviour Based Optimization Supported With Self-Organizing Maps for Solving the S-Box Design Problem," in IEEE Access, vol. 9, pp. 84605-84618, 2021, doi: 10.1109/ACCESS.2021.3087139.http://repositoriobibliotecas.uv.cl/handle/uvscl/7549The cryptanalytic resistance of modern block and stream encryption systems mainly depends on the substitution box (S-box). In this context, the problem is thus to create an S-box with higher value of nonlinearity because this property can provide some degree of protection against linear and differential cryptanalysis attacks. In this paper, we design a scheme built on a human behavior-based optimization algorithm, supported with Self-Organizing Maps to prevent premature convergence and improve the nonlinearity property in order to obtain strong 8 ×8 substitution boxes. The experiments are compared with S-boxes obtained using other metaheuristic algorithms such as Ant Colony Optimization, Genetic Algorithm and an approach based on chaotic functions and show that the obtained S-boxes have good cryptographic properties. The obtained S-box is investigated against standard tests such as bijectivity, nonlinearity, strict avalanche criterion, bit independence criterion, linear probability and differential probability, proving that the proposed scheme is proficient to discover a strong nonlinear component of encryption systems.CRYPTOGRAPHYSUBSTITUTION BOXSELF-ORGANIZING MAPSMETAHEURISTICSArticulo10.1109/ACCESS.2021.3087139.