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A chaos-based augmented image encryption scheme for satellite images using Fredkin logic.

Wassim Alexan¹, Engy Aly Maher², Eyad Mamdouh²

¹Communications Department, Faculty of Information Engineering and Technology, German University in Cairo, Cairo, 11835, Egypt. wassim.alexan@ieee.org.

Scientific Reports

|October 28, 2025

Summary

This study introduces a new image encryption method for satellite data, enhancing security through a multistage, chaos-based algorithm. The novel approach ensures robust protection of sensitive geographic information against various attacks.

Keywords:

Chaos theory Fredkin Gauss circle map Hill cipher Hyperchaos Image encryption S-box

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Area of Science:

Computer Science
Cryptography
Image Processing

Background:

Satellite imagery contains sensitive geographic data requiring robust protection.
Existing encryption methods may not adequately address the unique security challenges of satellite images.
There is a critical need for advanced encryption algorithms to secure high-stakes geospatial information.

Purpose of the Study:

To present a novel augmented image encryption algorithm for securing satellite images.
To enhance the security and confidentiality of sensitive geographic data.
To develop a computationally efficient and scalable encryption solution.

Main Methods:

Augmenting multiple plain images into a single large image.
Implementing a three-stage encryption process involving bit-stream manipulation with Gauss Circle map and Fredkin Gates.
Utilizing hyperchaos-induced keys and dynamic Hill Cipher matrices for advanced confusion and diffusion.

Main Results:

Achieved strong security metrics: high entropy (7.9989), high Number of Pixels Change Rate (NPCR), and high Unified Average Changing Intensity (UACI).
Demonstrated computational efficiency with an encryption time of 0.2817s for specific image sizes.
Maintained a low Peak Signal-to-Noise Ratio (PSNR) of 8.1 dB, indicating effective data obfuscation.

Conclusions:

The proposed multistage chaos-based encryption algorithm offers significant enhancements in security, scalability, and efficiency.
The method provides robust resistance against differential and statistical attacks, making it suitable for satellite imagery.
This algorithm is ideal for high-stakes applications demanding data integrity and confidentiality in satellite image security.