Chaos-Based Cryptography for Digital Image Security Using Parrondo’s Paradox

In the digital age, securely transmitting and storing image data is critical. This paper presents a cryptographic technique leveraging Parrondo’s paradox to alternatively use chaos-based logistic and piecewise logistic maps for encrypting and decrypting digital images. These chaotic maps ensure encryption robustness due to their unpredictable nature and sensitivity to initial conditions. Our proposed algorithm utilizes the chaotic properties of these maps to formulate a unique encryption key and a pixel permutation sequence, setting a dual-layered security protocol. Initially, the algorithm rearranges the image pixels as per the permutation sequence and subsequently applies a bitwise XOR operation with the encryption key, producing a ciphered image. Decrypting the image entails the inverse of this procedure. This method ensures strengthened security, rendering encrypted images incomprehensible without the distinctive key and permutation sequence. Such secure digital image processing advancements are invaluable for sectors requiring data protection, including certain video conferencing, military communications, and health informatics.