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Related Experiment Video

Updated: Jul 25, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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A new multimedia cryptosystem using chaos, quaternion theory and modular arithmetic.

Mendez Luis1, Ladino Daniel1, Amaya Isabel1

  • 1Complexity Research Group (COMPLEXUD), Engineering Faculty, Universidad Distrital Francisco Jose de Caldas, Bogota, 110231 Colombia.

Multimedia Tools and Applications
|June 26, 2023
PubMed
Summary

A novel cryptosystem using quaternion numbers, residual matrices, and chaotic attractors enhances multimedia security. This method ensures high sensitivity to changes, providing robust encryption for images and audio files.

Keywords:
ChaosCryptosystemModular arithmeticMultimediaQuaternionsResidual matrices

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Area of Science:

  • Cryptography
  • Multimedia Security
  • Computational Mathematics

Background:

  • Multimedia files require robust security measures against unauthorized access.
  • Existing cryptosystems may lack sufficient sensitivity or efficiency for complex multimedia data.

Purpose of the Study:

  • To propose a new cryptosystem for multimedia processing (images, audio).
  • To enhance encryption security and efficiency using novel mathematical combinations.

Main Methods:

  • Utilizing quaternion numbers, residual matrices, and chaotic attractors for encryption.
  • Employing a Julia Quaternion set-derived image as the encryption key.
  • Implementing XOR operations and residual matrices modulus 257 for high sensitivity.
  • Applying dynamic programming to optimize matrix operations.

Main Results:

  • Achieved effective information mixing between RGB layers and audio samples.
  • Demonstrated high sensitivity to minor perturbations in input data or keys.
  • Reduced processing time for matrix operations.
  • Security validated through National Institute of Standards and Technology (NIST) tests and comparison with existing works.

Conclusions:

  • The proposed cryptosystem offers a secure and efficient solution for multimedia encryption.
  • The combination of quaternion matrices, chaotic attractors, and residual matrices provides strong resistance to attacks.
  • The algorithm exhibits desirable security and performance characteristics for practical applications.