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Dynamic Effects Arise Due to Consumers' Preferences Depending on Past Choices.

Entropy (Basel, Switzerland)·2020
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An Algorithm of Image Encryption Using Logistic and Two-Dimensional Chaotic Economic Maps.

Sameh S Askar1,2, Abdel A Karawia2,3, Abdulrahman Al-Khedhairi1

  • 1Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

This study presents a novel image encryption algorithm using chaotic maps, enhancing security against various attacks. The algorithm offers a large key space and high resistance to statistical, differential, and brute-force threats.

Keywords:
chaotic economic mapimage decryptionimage encryptionlogistic mapsecurity analysis

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Area of Science:

  • Cryptography
  • Applied Mathematics
  • Computer Science

Background:

  • Existing image encryption algorithms based on chaotic maps require enhanced security levels.
  • There is a need for more robust cryptographic methods for secure image transmission.

Purpose of the Study:

  • To introduce a new image encryption algorithm utilizing a logistic and a 2D chaotic economic map.
  • To analyze the security and robustness of the proposed algorithm against various attacks.

Main Methods:

  • Development of a novel cryptographic algorithm integrating logistic and 2D chaotic economic maps.
  • Implementation and security analysis of the algorithm on diverse image types.
  • Statistical analyses including key space sensitivity, pixel correlation, entropy, and contrast.

Main Results:

  • The algorithm demonstrates a large key space and high sensitivity to the secret key.
  • Low correlation coefficients, high contrast, and acceptable entropy were observed.
  • The algorithm proved resistant to statistical, differential, brute-force, and noise attacks.

Conclusions:

  • The proposed chaotic map-based image encryption algorithm offers enhanced security and robustness.
  • The algorithm is suitable for practical applications requiring secure image encryption.
  • Further research can explore optimizations and applications in different domains.