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Constructing dynamic strong S-Box using 3D chaotic map and application to image encryption

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A Correction to this article was published on 10 April 2023

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Abstract

The main contribution is to design a cryptographically keyed strong S-Box construction method, based on a non-degenerate 3D improved quadratic map (3D-IQM). First, a 3D-IQM is constructed, dynamics analysis demonstrated its ergodicity and better randomness in phase space. Based on 3D-IQM, a keyed dynamic strong S-Box construction method is designed, which can satisfy six criteria and without fixed-point, reverse fixed-point, or short cycles. To verify its effectiveness in cryptography, the red, green and blue components of color image are encrypted using three S-Boxes, to further enhance the encryption intensity, three random substitution-depth sequences are generated to substitute each pixel with S-Box for random times. Security analysis and experimental statistics verified the algorithm’s security and effectiveness.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (Nos: 61662073, 61773010), the Science and Technology Program of University of Jinan (No: XKY2070).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

    Hongjun Liu, Jian Liu & Chao Ma

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  1. Hongjun Liu
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  2. Jian Liu
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  3. Chao Ma
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Correspondence to Hongjun Liu.

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The original online version of this article was revised: The Eq. 2 was incorrect.

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Liu, H., Liu, J. & Ma, C. Constructing dynamic strong S-Box using 3D chaotic map and application to image encryption. Multimed Tools Appl 82, 23899–23914 (2023). https://doi.org/10.1007/s11042-022-12069-x

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