Encryption And Decryption Using Chaotic Key Sequence

Overview

This project employs chaotic key sequences for encryption and decryption, enhancing cryptographic security. Chaotic systems generate random-like sequences used as keys to modify pixel values in images. By leveraging chaos theory, this method offers robust encryption.

Methodology

• Encryption: Chaotic key sequences modify pixel values in images. These sequences, generated from chaotic systems, provide high unpredictability.

• Decryption: Decryption uses the same chaotic sequence by replicating initial conditions and control parameters. Applying reverse operations restores the original image.

Security Advantage

Chaotic systems' sensitivity to initial conditions makes this encryption formidable. Even tiny deviations lead to vastly different sequences, rendering decryption challenging.

Implementation

Web technologies power this project, ensuring cross-platform accessibility. Harnessing chaos theory, the project showcases the power of chaos in Cryptography.

Run the project

First of all, install Python dependencies

pip install -r requirements.txt

Then Run the Flask server

python app.py

The project will be running on the Werkzeug server

http://localhost:5000/

Drag and Drop the original image

To encrypt an original image, enter the initial condition and control parameter, which act as keys to generate the chaotic key sequence

Encrypted original image

To Decrypt an Encrypted Image

Responsive Preview

Explain the process of core key generation of encryption and decryption

Each pixel of an image gets many keys for encryption, that is why this algorithm is so robust for CryptoGraphy.

Full pipeline of encryption and decryption

Bifurcation Diagram

A bifurcation diagram illustrates the values that a system approaches asymptotically (fixed points, periodic orbits, or chaotic attractors) in relation to a bifurcation parameter within the system.

Overview

A Bifurcation Diagram reveals how system stability can significantly depend on input factors.

Calculation

The diagram is generated by iterating a given equation over a defined range of r values for a set number of iterations. The equation's results are then plotted, with each r on the x-axis and the corresponding x values on the y-axis.

The logistic map equation is used:

Logistic Map

Visualization The resulting bifurcation diagram provides insights into the system's behavior as r changes, highlighting patterns and shifts in asymptotic values.

Parameters Minimum r: 3.0 Maximum r: 4.0 Max iterations: 1000 Skip iterations: 100 Step r: 0.0001

References

• https://www.wikiwand.com/en/Chaos_theory#Media/File:Double-compound-pendulum.gif

• https://en.wikipedia.org/wiki/Chaotic_cryptology