Secure Chaotic Cryptosystem for 3D Medical Images

Antonios S. Andreatos () and Apostolos P. Leros
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Antonios S. Andreatos: Division of Computer Engineering and Information Science, Hellenic Air Force Academy, 13671 Dekeleia, Attica, Greece
Apostolos P. Leros: General Department, National and Kapodistrian University of Athens, 15772 Athens, Greece

Mathematics, 2025, vol. 13, issue 20, 1-44

Abstract: This study proposes a lightweight double-encryption cryptosystem for 3D medical images such as Magnetic Resonance Imaging (MRI), Positron Emission Tomography (PET) scans, and Computed Tomography scans (CT). The first encryption process uses chaotic pseudo-random numbers produced by a Lorenz chaotic system while the second applies Cipher Block Chaining (CBC) mode using outputs from a Pseudo-Random Number Generator (PRNG). To enhance diffusion and confusion, additional voxel shuffling and bit rotation operations are incorporated. Various sets of optimized parameters for the Lorenz system are calculated using either a genetic algorithm or a random walk. The master key of the cryptosystem is 672 bits long and consists of two components. The first component is the SHA-512 hash of the input image while the second component consists of the initial conditions of the Lorenz chaotic system and is 160 bits long. The master key is processed by a function that generates fourteen subkeys, which are then used in different stages of the algorithm. The cryptosystem exhibits excellent performance in terms of entropy, NPCR, UACI, key sensitivity, security, and speed, ensuring the confidentiality of personal medical data and resilience against advanced computational threats, and making it a good candidate for real-time 3D medical image encryption in healthcare systems.

Keywords: 3D medical images; MRI; PET scan; CT scan; DICOM; NIfTI; Lorenz chaotic system; Cipher Block Chaining (CBC); genetic algorithms; random walk (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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