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The 3D modular chaotic map to digital color image encryption
نگاشت آشوب سه بعدی ماژولار برای رمزگذاری تصویر رنگی دیجیتال -2019 The cryptography is one of the important security mechanisms for the confidentiality, integrity and
authentication of text and multimedia data. This study proposes a five-step color images encryption
method in 3D space based on substitution and permutation operations for diffusion and confusion
properties. To transform the image to a 3D space, in the first step, the red, green, and blue spectra of
the color image are subdivided into the sub-images, in this case the rows, columns, and the number
of sub-images are specified in 3D axis coordinates for carrying out 3D substitution and permutation
operations. In the second and fifth steps of encryption, 3D substitution operations are performed by
using logical exclusive OR and circular shift operators on the sub-images pixels. In the middle steps, the
permutation operations of sub-images pixels are accomplished with the help of 3D permutation and
3D modular chaotic map. The 3D modular chaotic presented in this research is multiplicative reversible
based on modular arithmetic, which improves speed, period, and space of the key. The proposed
method, with the help of permutations and substitutions in 3D space, improves the performance
parameters and increases the key space in comparison to other image cryptography researches. Keywords: 3D substitution | 3D permutation | Color image encryption | Modular arithmetic | Key space | 3D chaotic map |
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