Geodesic
Image cipher system based on RSA and chaotic maps
Eurasian journal of mathematical and computer applications, Tome 7 (2019) no. 4, pp. 4-17.

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Chaos theory has many characteristics, such as ergodicity, mixing, randomness, unpredictability and the sensitivity to initial conditions which can be connected with the well-known confusion and diffusion properties in the classical cryptography. So, new image encryption algorithm based on a combination between RSA and chaotic maps is proposed in this paper. The new encryption algorithm encrypts and decrypts images of different size. In this algorithm, the input image is first permuted by using 1D Skew tent map and 1D Sin maps, then the result is encrypts using RSA encryption algorithm and 3D logistic map and finally, the result is permuted again. The proposed algorithm has been investigated utilizing various tests and the outcomes demonstrate that it has substantial key space, a uniform histogram, low correlation, greater maximum deviation, low irregular value, lower Peak Signal-to-Noise Ratio (PSNR) value and Mean Square Error (MSE) is greater than 30 db.
Keywords: image encryption, 1D Skew tent map, 1D Sin maps, 3D logistic map, RSA encryption algorithm. 
@article{EJMCA_2019_7_4_a0,
     author = {Ekhlas Abbas Albahrani and Tayseer Karam Alshekly and Amal Abbas Kadhim},
     title = {Image cipher system based on {RSA} and chaotic maps},
     journal = {Eurasian journal of mathematical and computer applications},
     pages = {4--17},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJMCA_2019_7_4_a0/}
}
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Ekhlas Abbas Albahrani; Tayseer Karam Alshekly; Amal Abbas Kadhim. Image cipher system based on RSA and chaotic maps. Eurasian journal of mathematical and computer applications, Tome 7 (2019) no. 4, pp. 4-17. http://geodesic.mathdoc.fr/item/EJMCA_2019_7_4_a0/