An Algorithm of Image Encryption Using Logistic and Two-Dimensional Chaotic Economic Maps.

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.