Abstract
To further enhance the nonlinear and cryptographic properties of chaotic S-boxes, a novel S-box design is proposed based on the discrete chaotic map and improved artificial bee colony algorithm. Firstly, the S-box generated by chaotic sequence is initialized by the opposition-based optimization. Then, the dual transposition artificial bee colony algorithm is used to optimize the population, where the Gaussian swap is engaged to strengthen the optimum efficiency, and make the population acquire a better quality with each other. With the Gaussian mutation operator, the opposition-based optimization performs self-learning to obtain better population. Comparing with some recent S-boxes based on chaos. The S-boxes generated by the proposed scheme can achieve better performance in bijection, nonlinearity, strict avalanche criterion(SAC), bit independence criterion(BIC), I / O XOR distribution and linear approximation probability(LP). It provides a new and effective method for designing S-boxes with good cryptographic properties.
Highlights
A s the only nonlinear component used in many ciphers, the strength of cryptographic systems is mainly determined by an S-box
To evaluate the performance of the S-box, differential probability calculated from I /O XOR distribution [29] and linear cryptanalysis [30] are used
The performance of an S-box is mainly determined by six criteria: bijection, nonlinearity, strict avalanche criterion, output bit independence criterion, inputs/outputs XOR distribution and linear approximation probability, and they are discussed in the following
Summary
A s the only nonlinear component used in many ciphers, the strength of cryptographic systems is mainly determined by an S-box. Mathematical methods, such as logarithmic functions, exponential functions, chaotic mapping, and inverse mapping in finite fields are the most popular ones They can achieve good nonlinearity and differential uniformity, the constructed S-box often has a very simple algebraic structure, which is vulnerable to algebraic attacks [1]. To strengthen the nonlinearity and cryptographic properties, an S-box design based on the combined chaotic system and improved artificial bee colony algorithm is put forward in this paper. 3) An S-box design method is proposed by combing the intertwining logistic map and the improved artificial bee colony algorithm.
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