4.7 Article

A image encryption scheme based on dynamical perturbation and linear feedback shift register

期刊

NONLINEAR DYNAMICS
卷 78, 期 3, 页码 2277-2291

出版社

SPRINGER
DOI: 10.1007/s11071-014-1564-1

关键词

Compound Chaos; Feedback image encryption; 3D baker; Perturbation; Linear feedback shift register

资金

  1. National Natural Science Foundation of China [60973162]
  2. Science and Technology of Shandong Province of China [2013GGX10129, 2010GGX10132, 2012GGX10110]
  3. Soft Science of Shandong Province of China [2012RKA10009]
  4. National Cryptology Development Foundation of China [MMJJ201301006]
  5. Teaching Research Project of Harbin Institute of Technology at Weihai and College of computer [HITWHCS201309]
  6. Engineering Technology and Research Center of Weihai Information Security

向作者/读者索取更多资源

Because low-dimensional chaotic precision degradation has seriously affected the security of encryption, compound chaotic function is designed. It is based on two new one-dimensional chaotic functions. By the definition of Devaney chaotic, the properties of compound chaotic functions are rigidly proved. Based on the compound chaotic function and linear feedback shift register (LFSR), a new pseudo-random sequence generator is designed to generate a more random sequence and expand the key space. The properties of compound chaotic functions and LFSR are also established. In the scheme, a dynamic block division of the 3D baker and dynamical perturbation are illustrated using the compound chaotic map to derive the confusion image. The new pseudo-random sequence generator expands the key space and improves the security of image encryption scheme. The results of entropy analysis, difference analysis, weak-key analysis, statistical analysis, cipher random analysis, and cipher sensitivity analysis show that the encryption scheme has a better security. Compared with traditional encryption scheme and one-dimensional logistic chaotic map, the new image encryption scheme has a better performance in speed, complexity, and security. This paper illustrates how to solve the problem of short periods and low precision of one-dimensional chaotic function by perturbation and LFSR together.

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