An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values.

Area of Science:

• Computer Science
• Cryptography
• Image Processing

Background:

• Image encryption is crucial for data security.
• Existing methods often use complex chaotic systems, leading to slower performance.
• The logistic map is a well-studied chaotic system with potential for encryption.

Purpose of the Study:

• To develop a fast and secure plaintext-related image encryption algorithm.
• To leverage the logistic map's chaotic properties for enhanced security.
• To improve encryption efficiency compared to existing complex systems.

Main Methods:

• Modifying logistic map parameters based on plain image pixel intensities in a row-wise manner.
• Utilizing knowledge of the logistic map's fixed points and periodic cycles for parameter alteration.
• Ensuring parameter values yield high positive Lyapunov exponents for pronounced chaotic behavior.

Main Results:

• The proposed algorithm achieves encryption results comparable to complex chaotic systems.
• The method demonstrates significantly faster encryption speeds.
• Experimental verification confirms the pronounced chaotic behavior of the modified logistic map.

Conclusions:

• The developed image encryption algorithm offers a balance of security and speed.
• A simpler, well-studied chaotic map can be effectively used for image encryption.
• The row-wise parameter modification is efficient for both encryption and decryption.