New DNA Coded Fuzzy Based (DNAFZ) S-Boxes: Application to Robust Image Encryption Using Hyper Chaotic Maps

This article proposes a novel approach of improvising the cryptographic features substitution-boxes (S-Box) based on Choquet Fuzzy Integral (CFI) and DNA techniques. First, we propose strong structure for construction four S-Boxes using CFI. The key generating CFI (FZ) consists two parts, namely, an external secret image. Each these FZ S-boxes is then encoded techniques, with dynamic rules selection which dictated by control code. resultant are designated as DNAFZ S-Boxes. To apply image encryption, plain is, at first 8-bit binary-coded, shuffled M-sequence, down-sampled into sub-images. Subsequently, pixel values each sub-image replaced corresponding one Next, diffused different chaotic sequence from Chen's hyper-chaotic map. Finally, DNAFZ/Chaotic sub-images combined to build final encrypted proposed shows excellent statistical properties under majority logic criterions such correlation, homogeneity, energy, entropy, contrast. Moreover, numerical simulation used examine efficacy images against attacks. In particular, correlation coefficient found be quite small either horizontally, vertically, or diagonally (between 7.8597e-04 0.00527, between 8.7856e-04 0.00452, 0.00241 0.00021, respectively). addition, information entropy within range (7.9965:7.9989) very near ideal value 8. As UACI NPCR, they in ranges 33.46 33.32 99.58 99.62, respectively. These also close optimum ones. results compared those other encryption algorithms proved that method delivers better than conventional ones including LSS map, Arnold transforms, Dynamic Henon Hybrid map optimized substitution, cubic S-Box.