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Published on: September 28, 2018

A Three-Dimensional Infinite Collapse Map with Image Encryption.

Wenhao Yan¹, Zijing Jiang¹, Xin Huang¹

¹Electronic Engineering College, Heilongjiang University, Harbin 150080, China.

Entropy (Basel, Switzerland)

|September 28, 2021

Summary

This summary is machine-generated.

This study introduces a novel 3D infinite collapse map (3D-ICM) to improve chaotic encryption systems. The new chaotic system demonstrates complex dynamics and enhances image encryption security against various attacks.

Keywords:

3D infinite collapse map chaos dynamic characteristics image encryption

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Area of Science:

Cryptography
Dynamical Systems
Information Security

Background:

Low-dimensional chaotic systems are susceptible to security defects in encryption.
Enhancing dynamic complexity is crucial for robust chaotic encryption.

Purpose of the Study:

To propose a novel 3D infinite collapse map (3D-ICM) for improved chaotic encryption.
To analyze the performance and complexity of the 3D-ICM.
To develop and evaluate an image encryption scheme using the 3D-ICM.

Main Methods:

Analysis of the 3D-ICM using phase diagrams, Lyapunov exponents, and Sample Entropy.
Development of an image encryption algorithm based on the 3D-ICM.
Security analysis of the encryption scheme against common cryptanalytic attacks.

Main Results:

The 3D-ICM exhibits complex chaotic behavior and high complexity.
The proposed image encryption scheme demonstrates resistance to brute-force, correlation, and differential attacks.
The system achieves a higher security level compared to existing methods.

Conclusions:

The 3D-ICM is a promising tool for developing secure chaotic encryption systems.
The proposed image encryption scheme offers enhanced security and robustness.
Complex chaotic dynamics are essential for effective cryptographic applications.