Abstract
The construction of substitute box (S-box) has always been an important research direction in cryptography. This paper proposes a new S-box generation method and advanced design based on combined chaotic system. Firstly, our paper proposes a new combined chaotic system and analyze its dynamic behavior. Next, we construct S-box by combining the generated pseudo-random sequence with the linear congruence random number generator, and the standard mapping is introduced to scramble the initial S-box. Then, the S-box optimization method based on advanced genetic algorithm is proposed in this paper. We design adaptive of S-box coding, selection operator, crossover operator and mutation operator to avoid the shortcomings of low calculation efficiency and non-convergence of optimization results in traditional genetic algorithm. Finally, through a lot of security analysis experiments and comparison with other papers, the optimized S-box has better cryptography characteristics and can resist linear attacks and differential attacks.
Highlights
Cryptographic algorithms are widely used in many fields, which can transmit important personal data through remote channels in computer and communication technology
In order to verify the cryptography characteristics of S-boxes, according to the performance standard evaluation system of S-boxes, this paper analyzes the performances of the proposed S-boxes included nonlinear criterion, the strict avalanche criterion, differential uniformity, the output bits independence criterion and linear approximation probability
A new combined chaotic system is proposed based on the chaotic theory, which has good chaotic characteristics proved by analyzing its dynamic characteristics
Summary
Cryptographic algorithms are widely used in many fields, which can transmit important personal data through remote channels in computer and communication technology. The purpose of our study was not to focus on how to design cryptographic algorithm, we aimed to propose the method to construct and optimize the S-box. Our paper proposes a new combined chaotic system and analyzes its dynamic behavior. The S-box optimization method based on advanced genetic algorithm is proposed in this paper. This paper proposes a new combined chaotic system and the S-boxes construction method. Through a lot of security analysis experiments and comparison with other papers, the optimized S-box has better cryptography characteristics and can resist linear attacks and differential attacks.
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