Table 12 Comparative analysis of the proposed cryptosystem on baboon image of Fig. 10 of dimension \(256 \times 256\).
Method | Encryption process | Entropy | NPCR (\(\alpha = 0.001\)) | UACI (\(\alpha = 0.001\)) | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
(expectation \(> 7.9\)) | (critical value = 99.5341) | (range : [33.1593, 33.7676]) | ||||||||
\(\texttt{R}\) | \(\texttt{G}\) | \(\texttt{B}\) | \(\texttt{R}\) | \(\texttt{G}\) | \(\texttt{B}\) | \(\texttt{R}\) | \(\texttt{G}\) | \(\texttt{B}\) | ||
Original \(\texttt{RGB}\) color image | 7.268 | 7.597 | 6.971 | − | − | − | − | − | − | |
Proposed | Using \(\otimes\) | 7.997 | 7.996 | 7.997 | 99.638 | 99.618 | 99.572 | 33.342 | 33.427 | 33.410 |
Using XOR | 7.997 | 7.996 | 7.996 | 51.416 | 51.416 | 51.428 | 18.390 | 18.380 | 18.380 | |
Using \((+,-)\) | 7.997 | 7.997 | 7.996 | 93.432 | 98.182 | 99.424 | 33.401 | 33.421 | 33.405 | |
Ref18 | Dynamic DNA encryption and chaos | 7.997 | 7.996 | 7.997 | 99.600 | 99.600 | 99.610 | 33.560 | 33.460 | 33.450 |
Ref9 | Fractional-order hyperchaotic system and DNA-coding | 7.997 | 7.997 | 7.996 | 99.600 | 99.620 | 99.580 | 33.470 | 33.440 | 33.570 |
Ref10 | Fractional fourier transform and DNA sequence operation | 7.997 | 7.997 | 7.999 | 99.560 | 99.550 | 99.570 | 33.410 | 33.440 | 33.450 |
Ref6 | Hybrid chaotic system and DNA sequences | 7.997 | 7.997 | 7.997 | 99.640 | 99.600 | 99.610 | 33.470 | 33.360 | 33.440 |
Ref27 | Hyperchaotic key transformed by singular value decomposition and RC5 encryption | 7.999 | 7.999 | 7.999 | 99.580 | 99.600 | 99.600 | 29.580 | 28.040 | 30.690 |
Ref28 | 2D hyperchaotic sine couple map with inter and intra-block operations | 7.997 | 7.997 | 7.997 | 99.630 | 99.630 | 99.630 | 33.490 | 33.460 | 33.490 |