A New Efficient Digital Image Encryption Based on Inverse Left Almost Semi Group and Lorenz Chaotic System

Area of Science:

• Computer Science
• Cryptography
• Information Security

Background:

• Image encryption is crucial for secure data transmission.
• Existing methods may lack robust diffusion characteristics.
• Chaotic systems offer potential for complex encryption algorithms.

Purpose of the Study:

• To propose a novel image encryption scheme using inverse left almost semigroups (LA-semigroups).
• To enhance diffusion properties by integrating discrete and continuous chaotic systems.
• To evaluate the security and performance of the proposed encryption algorithm.

Main Methods:

• Development of a new mathematical structure: inverse left almost semigroup (LA-semigroup).
• Integration of discrete and continuous chaotic systems for diffusion.
• Performance evaluation using correlation analysis, pixel uniformity, sensitivity, and information entropy analysis.

Main Results:

• The proposed algorithm demonstrates strong information security properties.
• Effective complementation of diffusion characteristics was achieved.
• High performance in terms of security metrics was observed.

Conclusions:

• The inverse left almost semigroup (LA-semigroup) based image encryption scheme offers superior security.
• The integration of chaotic systems effectively enhances diffusion.
• The algorithm provides a robust solution for secure image transmission.