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A dynamic image encryption scheme through 2-D cellular automata and chaotic logistic map.

Yasmin Abdul1, Venkatesan Ramasamy2, Gaverchand Kukaram3

  • 1Department of Mathematics, Sri Sai Ram Engineering College, Sai Leo Nagar, West Tambaram, Chennai, Tamil Nadu, 600 044, India.

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Summary

This study introduces a novel image encryption method using Cellular Automata (CA) and chaotic maps for enhanced security. The framework offers robust protection against cyber threats and transmission errors, ensuring high confidentiality and integrity.

Keywords:
Cellular automataCryptographyImage encryptionLogistic map

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Area of Science:

  • Computer Science
  • Cryptography
  • Information Security

Background:

  • Digital data security is paramount due to evolving cyber threats.
  • Existing image encryption methods require continuous improvement for enhanced confidentiality and integrity.
  • Cellular Automata (CA) and chaotic maps offer potential for developing robust encryption algorithms.

Purpose of the Study:

  • To propose a novel image encryption framework integrating 2-D Cellular Automata (CA) and a 3-D coupled logistic chaotic map.
  • To enhance image confidentiality, integrity, and randomness through a hybrid encryption approach.
  • To ensure resilience against transmission errors and noise attacks.

Main Methods:

  • Utilized the spatial complexity of 2-D CA for secure key generation.
  • Employed a 3-D coupled logistic map to amplify chaotic behavior during the encryption process.
  • Integrated Reed-Solomon codes for data integrity and error correction in both key and cipher images.

Main Results:

  • Achieved high entropy values (near 7.9989), indicating strong encryption randomness.
  • Demonstrated significant resistance to differential attacks with high NPCR (99.7887) and UACI (36.9223) averages.
  • Validated statistical randomness via NIST tests (average p-value 0.6771) and confirmed robustness against noise attacks.

Conclusions:

  • The proposed image encryption framework effectively enhances security, confidentiality, and integrity.
  • The integration of CA and chaotic maps provides superior protection compared to conventional methods.
  • The scheme is robust and suitable for practical applications, even in noisy environments.