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Color Image Encryption Based on 3D-SBFCM with Dynamic Rectangular Partitioning and Dynamic S-Box Substitution.

Ting Wang¹, Xiaoyan Yang¹, Bin Ge²

¹School of Information Engineering, Huainan Union University, Huainan 232038, China.

Entropy (Basel, Switzerland)

|June 26, 2026

Summary

This summary is machine-generated.

This study introduces a novel color image encryption method using a complex 3D chaotic map and dynamic partitioning. The approach enhances security by improving complexity, reducing image regularity, and ensuring robust diffusion across RGB channels.

Keywords:

chaotic map color image encryption cross-channel diffusion dynamic S-box hierarchical scrambling

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Area of Science:

Cryptography
Image Processing
Applied Mathematics

Background:

Existing chaos-based encryption methods struggle with low-dimensional map complexity, block partitioning regularity, and limited RGB channel diffusion.
These limitations reduce the overall security and effectiveness of current color image encryption techniques.

Purpose of the Study:

To propose a novel color image encryption algorithm addressing the limitations of existing methods.
To enhance dynamical complexity, reduce spatial correlations, and improve cross-channel diffusion for secure image encryption.

Main Methods:

A three-dimensional sine-bilinear fully coupled chaotic map (3D-SBFCM) was developed for improved pseudorandomness.
A residual-feasibility-constrained dynamic rectangular partitioning mechanism was introduced to create non-uniform image blocks.
The algorithm incorporates permutation, S-box substitution, and cross-channel diffusion techniques.

Main Results:

The proposed 3D-SBFCM exhibits enhanced complexity and pseudorandomness.
Dynamic partitioning effectively reduces structural regularity and spatial correlations.
High information entropy (>7.999) and near-theoretical NPCR/UACI values were achieved, indicating strong confusion and diffusion.
The algorithm demonstrated robustness against cropping and noise attacks.

Conclusions:

The proposed algorithm offers a secure and effective solution for color image encryption.
It successfully overcomes the limitations of existing chaos-based methods, providing enhanced security and robustness.