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Human Behaviour Based Optimization Supported With Self-Organizing Maps for Solving the S-Box Design Problem

2021; Institute of Electrical and Electronics Engineers; Volume: 9; Linguagem: Inglês

10.1109/access.2021.3087139

2169-3536

Ricardo Soto, Broderick Crawford, Francisco Gonzalez, Rodrigo Olivares,

Cryptographic Implementations and Security

The 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.