A robust color image encryption algorithm based on 2D-SQSM hyperchaotic map and cyclic shift scrambling

Area of Science:

• Cryptography and Information Security
• Applied Mathematics and Dynamical Systems

Background:

• Traditional chaotic maps often exhibit insufficient performance or overly complex structures.
• There is a need for efficient and robust chaotic maps for secure communication.

Purpose of the Study:

• To propose a structurally simplified 2D quadratic sine map (2D-SQSM).
• To design a highly robust color image encryption algorithm based on the 2D-SQSM.
• To evaluate the encryption algorithm's security and performance.

Main Methods:

• Developed a simplified 2D quadratic sine map (2D-SQSM).
• Designed a color image encryption algorithm incorporating hash functions, cyclic shifting, segmentation-recombination, and XOR diffusion using the 2D-SQSM.
• Evaluated performance using chaos metrics (Lyapunov exponents, sample entropy) and security analysis (resistance to attacks).

Main Results:

• The 2D-SQSM exhibits superior chaotic characteristics compared to existing advanced maps.
• The proposed encryption algorithm significantly enhances image information entropy and reduces pixel correlation.
• The algorithm demonstrates robustness against brute-force, differential, noise, cropping, and chosen plaintext attacks.

Conclusions:

• The 2D-SQSM is an effective chaotic system for cryptographic applications.
• The developed image encryption algorithm provides high security and robustness for practical use in secure image transmission.