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Design of three-dimensional dynamic integer tent map and its image encryption algorithm

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Abstract

A three-dimensional dynamic integer tent map is proposed which is based on one-dimensional and two-dimensional integer tent maps, and the effects of dimension, accuracy and disturbance on the chaotic map system are studied. Experiments show that this system can quickly generate multiple integer pseudo-random sequences that are independent of each other and distributed uniformly, so that the problem of accuracy loss due to the integer real number model and the problem of insufficient independence and uniformity of a multi-dimensional model are solved. According to the characteristics of three-dimensional map systems, a color image encryption algorithm is designed and its performance is analyzed from different aspects.

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Authors and Affiliations

  1. School of Information Engineering, Beijing Institute of Petrochemical Technology, Beijing, 102617, People’s Republic of China

    Liu Jiandong, Zhong Ming, Liu Bo, Liu Yujie & Li Bo

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  1. Liu Jiandong
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  2. Zhong Ming
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  3. Liu Bo
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  4. Liu Yujie
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  5. Li Bo
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Correspondence to Liu Jiandong.

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Jiandong, L., Ming, Z., Bo, L. et al. Design of three-dimensional dynamic integer tent map and its image encryption algorithm. Multimed Tools Appl 80, 19219–19236 (2021). https://doi.org/10.1007/s11042-021-10668-8

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  • DOI: https://doi.org/10.1007/s11042-021-10668-8

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