A method for design and analysis of S-box based on Logistic maps

In this paper, S-box is only one of many block ciphers of nonlinear component. It´s determined by the security of cryptography algorithm and the scrambling speed of the whole algorithm. Therefore, a good S-box plays an important role to enhance the security of the Feistel structure, SPN structure and IDEA cryptography algorithm. In this paper, we propose a new S-box scheme which is based on chaos by iterating Logistic map and displacing initial table several times. On this basis, we analyze the nonlinear and differential probabilities of the S-box. The results show that the differential probability of the S-box we proposed is better than the existing S-box based on chaos, which has stronger resistance to differential attacks and nonlinear attacks.