A Novel Approach for Designing Dynamical S-Boxes Using Hyperchaotic System

  • Authors:

  • Jun Peng;Xiaofeng Liao;Du Zhang

  • Affiliations:

  • Chongqing University of Science and Technology, China;Chongqing University, China;California State University, Sacramento, USA

  • Venue:
  • International Journal of Cognitive Informatics and Natural Intelligence
  • Year:
  • 2012

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Abstract

In the information security field, the substitution boxes S-boxes have been extensively used in many cryptographic systems. This paper presents a novel approach for generating dynamically cryptographically S-boxes using a four-dimensional hyperchaotic Lorenz system. Within the algorithm, the initial condition is employed to drive the hyper-chaotic system to generate a chaotic sequence which is used to construct a chaotic key-dependent S-box. With different system initial conditions, many of distinct S-boxes can be obtained dynamically. Some cryptographic properties for a good S-box such as bijection, nonlinearity, SAC Strict Avalanche Criterion, BIC Bit Independence Criterion, and differential approximation probability are found to hold in the obtained S-boxes. The analytic results indicated that all the criteria for designing strong S-boxes can be achieved. The comparison of the proposed method for generating S-boxes with other chaos-based schemes indicates that our S-boxes have a better performance with respect to some properties. Finally, the authors give an example of a digital image encryption algorithm using their S-box and the results of image statistical analysis show that the algorithm has the desirable cryptographic properties.