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Result of Run-Test test to evaluate the randomness of the symmetric keys_
| Test Image Data | Symmetric Key | P-Value | Conclusion | Test Image Data | Symmetric Key | P-Value | Conclusion |
|---|---|---|---|---|---|---|---|
| Artichare | K1 | 0.930 | Random | Lena | K1 | 0.168 | Random |
| K2 | 0.154 | Random | K2 | 1.000 | Random | ||
| K3 | 0.930 | Random | K3 | 0.670 | Random | ||
| K4 | 1.000 | Random | K4 | 0.624 | Random | ||
| Pool | K1 | 0.145 | Random | Boat | K1 | 0.727 | Random |
| K2 | 1.000 | Random | K2 | 0.593 | Random | ||
| K3 | 0.565 | Random | K3 | 0.353 | Random | ||
| K4 | 0.234 | Random | K4 | 0.098 | Random |
Comparison of PSNR and CR values between images produced using the proposed and image produced by Hamdi et al_ (2017), and Kumar and Vaish (2017)_
| PSNR | CR | ||||||
|---|---|---|---|---|---|---|---|
| Citra | Size | Classification | Proposed | Ref (Hamdi et al., 2017) | Ref (Kumar and Vaish, 2017) | Proposed | Ref (Kumar and Vaish, 2017) |
| peppers | 512×512 | High contrast | 34.3206 | 32.6900 | 37.3047 | 30.0400 | |
| boat | 512×512 | High contrast | 34.3238 | 31.0300 | 37.3047 | 30.3200 | |
| baboon | 512×512 | Moderate contrast | 35.0083 | 24.8000 | 37.3047 | 31.7100 | |
| Lena | 512×512 | Moderate contrast | 35.7503 | 33.2700 | 37.3047 | 29.9500 | |
| barbara | 512×512 | Moderate contrast | 35.0709 | 26.2600 | 37.3047 | 31.3400 | |
| Average | 35.7752 | 29.6100 | 37.3047 | 30.6720 | |||
| house | 512×512 | Moderate contrast | 37.6866 | 39.674 | |||
| airplane | 256×256 | Bright image | 36.3147 | 38.013 | |||
| Average | 37.0007 | 38.8435 | |||||
Comparison of NPCR and UACI values between the proposed method and the method in Belazi et al_ (2017), Hamdi et al_ (2017), and Zhang and Tong (2017)_
| NPCR | UACI | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Citra | Size | Classification | Proposed | Ref (Hamdi et al., 2017) | Ref (Belazi et al., 2017) | Ref (Zhang and Tong, 2017) | Proposed | Ref (Hamdi et al., 2017) | Ref (Belazi et al., 2017) | Ref (Zhang and Tong, 2017) |
| peppers | 512×512 | High contrast | 99.7391 | 99.9676 | - | 99.6100 | 34.3270 | 33.3208 | - | 33.4700 |
| Lena | 512×512 | Moderate contrast | 99.7482 | 99.9150 | - | 99.5900 | 34.7650 | 33.5107 | - | 33.4200 |
| barbara | 512×512 | Moderate contrast | 99.7604 | 99.3656 | - | 99.5700 | 32.6374 | 33.4989 | - | 33.2900 |
| Average | 99.7492 | 99.7494 | - | 99.5900 | 33.9098 | 33.4435 | - | 33.3933 | ||
| Lena | 256×256 | Moderate contrast | 99.7360 | 99.8817 | 99.5895 | - | 34.7258 | 33.6860 | 33.4646 | - |
| house | 256×256 | Moderate contrast | 99.7742 | 98.9948 | 99.6353 | - | 35.5474 | 33.9622 | 33.4534 | - |
| airplane | 256×256 | Bright image | 99.7833 | 99.6680 | 99.5989 | - | 46.2548 | 33.2705 | 33.4396 | - |
| Average | 99.7645 | 99.5148 | 99.6079 | - | 38.8427 | 33.6396 | 33.4525 | - | ||
Comparison of entropy value between our proposed model with Belazi et al_ (2017) and Zhang and Tong (2017)_
| Entropy | |||||
|---|---|---|---|---|---|
| Citra | Size | Classification | Proposed | Ref (Belazi et al., 2017) | Ref (Zhang and Tong, 2017) |
| Airplane | 512×512 | Bright image | 7.9988 | 7.9024 | 7.9931 |
| house | 512×512 | Moderate contrast | 7.9990 | 7.9027 | 7.9931 |
| Lena | 512×512 | Moderate contrast | 7.9989 | 7.9030 | 7.9929 |
| barbara | 512×512 | Moderate contrast | 7.9989 | 7.9025 | 7.9917 |
| Average | 7.9989 | 7.90265 | 7.9927 | ||
The average of PSNR, UACI, entropy, CR, PSNR values and encryption and decryption process times using 30 different keys_
| File | Classification | NPCR | UACI | Entropy | CR | PSNR | Tencryption (seconds) | Tdecryption (seconds) |
|---|---|---|---|---|---|---|---|---|
| Artichare | Bright image | 99.7554 | 59.9266 | 7.9988 | 37.2500 | 36.0186 | 12.8361 | 18.1816 |
| Pool | Dark image | 99.7546 | 30.7441 | 7.9985 | 37.0757 | 36.4626 | 11.2455 | 14.7797 |
| Lena | Moderate contrast image | 99.7535 | 34.7743 | 7.9989 | 37.3047 | 35.7978 | 14.8640 | 19.8693 |
| Boat | High contrast image | 99.7548 | 34.6731 | 7.9989 | 37.3047 | 34.3238 | 14.9430 | 19.8642 |