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New Compression–Encryption Algorithm Using Chaos-Based Dynamic Session Key

Emy Setyaningsih
Emy Setyaningsih
, 
Retantyo Wardoyo
Retantyo Wardoyo
 e 
Anny Kartika Sari
Anny Kartika Sari
   | 28 mar 2018
International Journal on Smart Sensing and Intelligent Systems's Cover Image
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Article Category: Research-Article
Pubblicato online: 28 mar 2018
Pagine: 1 - 19
DOI: https://doi.org/10.21307/ijssis-2018-004
© 2018 Emy Setyaningsih et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

The proposed compression–encryption model.
The proposed compression–encryption model.

Figure 2

Symmetric Key Generation Algorithm.
Symmetric Key Generation Algorithm.

Figure 3

DWT decomposition 2D (a) one level (b) two levels.
DWT decomposition 2D (a) one level (b) two levels.

Figure 4

Formation of matrix B from the result of LL sub-band element scrambling using ACM method.
Formation of matrix B from the result of LL sub-band element scrambling using ACM method.

Figure 5

Formation of symmetric keys K1, K2, K3, and K4.
Formation of symmetric keys K1, K2, K3, and K4.

Figure 6

(a) Initial cipher block of size 5×5, (b) session key KG3 which is formed using the proposed algorithm.
(a) Initial cipher block of size 5×5, (b) session key KG3 which is formed using the proposed algorithm.

Figure 7

Example of key session KG4 which is randomly generated from the value of symmetric key K4 using the proposed algorithm.
Example of key session KG4 which is randomly generated from the value of symmetric key K4 using the proposed algorithm.

Figure 8

Detailed proposed image compression–encryption model on the sender side.
Detailed proposed image compression–encryption model on the sender side.

Figure 9

Illustration of quantization result in binary form The bits are then grouped into 8 bit sized blocks, which produces 71 179 1 (in decimal), as shown in Figure 10.
Illustration of quantization result in binary form The bits are then grouped into 8 bit sized blocks, which produces 71 179 1 (in decimal), as shown in Figure 10.

Figure 10

Illustrated by data coding results.
Illustrated by data coding results.

Figure 11

The process of resizing the encrypted LL, LH, HL, and HH sub-bands data from the column vector to a matrix of size m × n 4) Divide the matrix produced in Step 4 into b × k blocks to do the process of block permutation cipher using session key KG3. The goal is to randomize the element.
The process of resizing the encrypted LL, LH, HL, and HH sub-bands data from the column vector to a matrix of size m × n 4) Divide the matrix produced in Step 4 into b × k blocks to do the process of block permutation cipher using session key KG3. The goal is to randomize the element.

Figure 12

Detailed propoed image decryption–reconstruction model on the receiver side.
Detailed propoed image decryption–reconstruction model on the receiver side.

Figure 13

Symmetric key values of Lena images with different intensities. (a) Without using the proposed algorithm and (b) using the proposed algorithm.
Symmetric key values of Lena images with different intensities. (a) Without using the proposed algorithm and (b) using the proposed algorithm.

Figure 14

Symmetric keys generated in 30 experiments using Artichare, Pool, Lena, and Boat images.
Symmetric keys generated in 30 experiments using Artichare, Pool, Lena, and Boat images.

Figure 15

Result of visual analysis to cipher image.
Result of visual analysis to cipher image.

Figure 16

Average value of (a) NPCR, (b) UACI using the four testing images.
Average value of (a) NPCR, (b) UACI using the four testing images.

Figure 17

The average value of entropy from four testing images.
The average value of entropy from four testing images.

Figure 18

Average value of (a) PSNR, (b) compression ratio of the four testing images.
Average value of (a) PSNR, (b) compression ratio of the four testing images.

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
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