An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map
One-dimensional and three-dimensional piecewise chaotic maps are used to propose an image-encipher technique in this article. First, the logistic map is used to construct the pseudo-random sequence. After that, this sequence is used to scramble the plain image. Next, the three-dimensional piecewise...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/2/352 |
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| author | Sameh Askar Ahmad Alshamrani Aesha Elghandour Abdelrahman Karawia |
| author_facet | Sameh Askar Ahmad Alshamrani Aesha Elghandour Abdelrahman Karawia |
| author_sort | Sameh Askar |
| collection | DOAJ |
| description | One-dimensional and three-dimensional piecewise chaotic maps are used to propose an image-encipher technique in this article. First, the logistic map is used to construct the pseudo-random sequence. After that, this sequence is used to scramble the plain image. Next, the three-dimensional piecewise chaotic map has produced a mask of the chaotic sequence. After doing some preprocessing steps on the mask, a bit-wise XOR operation with the mask is applied to the shuffled image. The suggested algorithm is used to encipher and decipher a different range of images. To check the algorithm security and efficiency, the algorithm performance was calculated using multiple statistical tests and compared to several recent algorithms. Furthermore, numerical simulations and experimental data are also used to validate the proposed algorithm’s resistance to various attacks. |
| first_indexed | 2024-03-09T11:46:41Z |
| format | Article |
| id | doaj.art-97ae00aa427349679b98907f863ed5d9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:46:41Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-97ae00aa427349679b98907f863ed5d92023-11-30T23:21:00ZengMDPI AGMathematics2227-73902023-01-0111235210.3390/math11020352An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic MapSameh Askar0Ahmad Alshamrani1Aesha Elghandour2Abdelrahman Karawia3Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptMathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, EgyptOne-dimensional and three-dimensional piecewise chaotic maps are used to propose an image-encipher technique in this article. First, the logistic map is used to construct the pseudo-random sequence. After that, this sequence is used to scramble the plain image. Next, the three-dimensional piecewise chaotic map has produced a mask of the chaotic sequence. After doing some preprocessing steps on the mask, a bit-wise XOR operation with the mask is applied to the shuffled image. The suggested algorithm is used to encipher and decipher a different range of images. To check the algorithm security and efficiency, the algorithm performance was calculated using multiple statistical tests and compared to several recent algorithms. Furthermore, numerical simulations and experimental data are also used to validate the proposed algorithm’s resistance to various attacks.https://www.mdpi.com/2227-7390/11/2/352image enciphermentimage deciphermentchaotic mapsconfusion-diffusion model |
| spellingShingle | Sameh Askar Ahmad Alshamrani Aesha Elghandour Abdelrahman Karawia An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map Mathematics image encipherment image decipherment chaotic maps confusion-diffusion model |
| title | An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map |
| title_full | An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map |
| title_fullStr | An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map |
| title_full_unstemmed | An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map |
| title_short | An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map |
| title_sort | image encipherment algorithm using a combination of a one dimensional chaotic map and a three dimensional piecewise chaotic map |
| topic | image encipherment image decipherment chaotic maps confusion-diffusion model |
| url | https://www.mdpi.com/2227-7390/11/2/352 |
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