A novel 2D MTMHM based key generation for enhanced security in medical image communication

Area of Science:

• Cryptography
• Applied Mathematics
• Medical Informatics

Background:

• Secure communication of sensitive medical data is paramount in the digital age.
• Chaos theory-based encryption offers a promising approach for protecting patient information.
• Existing methods require novel algorithms for enhanced security.

Purpose of the Study:

• To propose a novel chaotic equation, the 2D-Modified Tinkerbell Map with Henon Map (2D-MTMHM), for generating pseudo-random key sequences.
• To develop a secure medical image encryption algorithm utilizing the 2D-MTMHM equation.
• To validate the algorithm's effectiveness against various security threats.

Main Methods:

• Development of the 2D-MTMHM chaotic equation by combining Tinkerbell and Henon maps.
• Validation of the 2D-MTMHM equation's properties using NIST SP800-22 tests, bifurcation diagrams, and entropy analysis.
• Implementation of a shuffling-diffusion encryption process involving row-wise, column-wise, and selective shuffling, followed by bit-wise diffusion.

Main Results:

• The 2D-MTMHM equation demonstrated desirable chaotic properties, including randomness and sensitivity.
• The encryption algorithm achieved high average entropy (7.99), near-zero correlation coefficients, NPCR (99.6%), and UACI (33.4%).
• The system proved effective against statistical, differential, and brute-force attacks, with a large key space of 10^270.

Conclusions:

• The proposed 2D-MTMHM chaotic equation and integrated encryption algorithm provide a highly secure solution for medical image protection.
• The algorithm's robustness and extensive key space ensure strong resistance against sophisticated cyberattacks.
• This research contributes a significant advancement in secure medical data transmission and storage.