An Effective Color Image Encryption Based on Henon Map, Tent Chaotic Map, and Orthogonal Matrices

Area of Science:

• Computer Science
• Cryptography
• Information Security

Background:

• Increasing internet image transfer necessitates robust data protection and secure communication methods.
• Chaos theory offers unique properties like non-periodical movement and non-convergence, ideal for secure and fast encryption schemes.

Purpose of the Study:

• To propose a modified image encryption process integrating chaotic maps and an orthogonal matrix within the Hill cipher.
• To enhance the security and efficiency of digital image communication.

Main Methods:

• The proposed encryption involves three phases: image permutation using a chaotic Henon map, encryption via Hill cipher with an orthogonal matrix-derived key, and XORing with a chaotic tent map sequence.
• Chaotic maps are utilized for their non-periodical and non-convergent properties to ensure security and speed.

Main Results:

• The proposed scheme demonstrates resistance to various attacks on cipher images.
• Statistical analyses including key space, key sensitivity, information entropy, histogram correlation, NPCR, PSNR, and UCAI confirm the technique's efficiency.
• Comparisons with state-of-the-art methods validate the algorithm's security and performance.

Conclusions:

• The developed image encryption algorithm, utilizing chaotic maps and an orthogonal matrix in Hill cipher, is a secure and efficient technique for modern digital image communication.
• The integration of chaotic dynamics significantly contributes to the robustness and speed of the encryption process.