Safe and Quickest Medical Image Encryption using Logistic Map-Derived S-Boxes and Galois Field

The pseudo-randomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures because they are exchanged over public networks. Several techniques have been proposed to decode medical images, but they are not widely used due to their speed and complexity. Given these problems, we suggest a new method for quickly and efficiently encrypting medical images to safeguard private medical information from adversary assaults while it is being sent. This method uses the Logistic Map (LM), which is the main source of inspiration for this work. A simple polynomial that is not reducible to linear components is used to construct the Substitution Box (S-Box). When the LM is put into practice, many point pairs are produced. One of the coordinate values is selected from each point. The Galois Field (GF) is then added to that value. The finite field inverse is applied if the value is not zero; otherwise, nothing is altered. Choose any value below 256 at random. Make an S-Box using these randomly selected values. Lastly, the Exclusive-NOR (XNOR) operation between the S-Box and picture matrices was used to encrypt the medical image. High-security tests are performed to verify the reliability of the proposed technique. According to performance studies, the medical picture encryption approach based on LM and S-boxes offers extremely secure encryption in a short period.