Design and Analysis of S-Boxes Based on Logistic MapsReport as inadecuate

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S-box is the only nonlinear component in many block cipher like DES, IDEA and AES, S-box with good cryptographic properties are required to be designed for strong cryptosystems. It determines the security of cryptography algorithm and the scrambling speed of the whole algorithm. Therefore, a good S-box plays an important role on enforcing the security of the Feistel structure, SPN structure and IDEA cryptography algo- rithm. The ergodic, mixing and random-like behavior and basic characteristics of chaos, such as sensitivity to initial conditions, overlaps with the basic characteristics of cryptology such as confusion and diffusion. This relationship is used in the design of new cryptosystems. In this paper, we propose a new S-box scheme based on chaos by iterating Logistic map and displacing initial table several times. We analyse the nonlinear and differential probabilities of the S-box. The results show that the differential probability of the S-box we pro- posed is better than the existing S-box based on chaos, which has strong abilities against differential attacks and nonlinear attacks.


Logistic Map; S-box; Differential Probability; Nonlinearity

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Author: Tao Tao, Geng Zhao, Gang Xu, Shuxin Hao



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