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**A novel fast image encryption scheme based on 3D chaotic Baker maps.**
*(English)*
Zbl 1064.94509

Summary: Symmetric block encryption schemes, designed on invertible two-dimensional chaotic maps on a torus or a square, prove feasible and secure for real-time image encryption according to the commonly used criteria given in the literature. In this paper, a typical map of this kind, namely, the Baker map, is further extended to be three-dimensional and then used to speed up image encryption while retaining its high degree of security. The proposed algorithm is described in detail, along with its security analysis and implementation. Experimental results show that this three-dimensional Baker map is 2–3 times faster than the two-dimensional one, showing its great potential in real-time image encryption applications.

### MSC:

94A08 | Image processing (compression, reconstruction, etc.) in information and communication theory |

37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |

37N99 | Applications of dynamical systems |

81Q50 | Quantum chaos |

68P25 | Data encryption (aspects in computer science) |

68U10 | Computing methodologies for image processing |

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\textit{Y. Mao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 10, 3613--3624 (2004; Zbl 1064.94509)

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### References:

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