Cryptographic algorithm based on pixel shuffling and dynamical chaotic economic map

Askar, Sameh; Karawia, A. A.; Alammar, Fatmah S.

doi:10.1049/iet-ipr.2016.0906

Cited by 33 publications

(27 citation statements)

References 32 publications

(38 reference statements)

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“…Therefore, using a precision of 10 −14 [2], the size of the proposed algorithm key space is 10 140 , and it is more than 2 100 . Table 6 shows that our proposed algorithm has a key space larger than the key spaces in [1,6,21,22]. Therefore, the key space of our algorithm is large enough to resist brute-force attacks.…”

Section: The Analysis Of Our Key Spacementioning

confidence: 99%

“…Converting secret information such as images from a decipherable form to an undecipherable one has been recently investigated to fulfill the demand of a secure route of image transmission through different communications channels such as Internet and wireless networks. Encryption schemes have been introduced based on chaotic models to handle that issue and to provide such secure routes [1,2]. The Data Encryption Standard (DES) algorithm is a traditional scheme and has been used for encrypting images [3].…”

Section: Introductionmentioning

confidence: 99%

“…The theory of chaos is an important theory that possesses some complex features such as sensitivity to the initial conditions, unpredictability, and bifurcation. It has been recently adopted by researchers in the process of encryption [1,2]. Chaos has presented some popular models, which include some complex properties that help provide a robust encryption scheme.…”

Section: Introductionmentioning

confidence: 99%

“…In [22], a simple piecewise linear chaotic map has been utilized to construct a bit-level image encryption algorithm. Recently, a robust image encryption/decryption algorithm via 1D chaotic economic map was proposed in [1]. The advantage of that algorithm is that the periodic recovery of the plain image is removable.…”

Section: Introductionmentioning

confidence: 99%

“…Some of the disadvantages existing in those algorithms have led us to propose a new 2D chaotic algorithm for image encryption. The algorithm published in [1] is constructed based on a one-dimensional chaotic map, but this one depends on a two-dimensional chaotic system. The number of parameters in the current algorithm is more than that in [1], and therefore, the security level is higher than the one in [1].…”

Section: Introductionmentioning

confidence: 99%

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An Algorithm of Image Encryption Using Logistic and Two-Dimensional Chaotic Economic Maps

Askar

Karawia

Al-khedhairi

et al. 2019

Entropy

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In the literature, there are many image encryption algorithms that have been constructed based on different chaotic maps. However, those algorithms do well in the cryptographic process, but still, some developments need to be made in order to enhance the security level supported by them. This paper introduces a new cryptographic algorithm that depends on a logistic and two-dimensional chaotic economic map. The robustness of the introduced algorithm is shown by implementing it on several types of images. The implementation of the algorithm and its security are partially analyzed using some statistical analyses such as sensitivity to the key space, pixels correlation, the entropy process, and contrast analysis. The results given in this paper and the comparisons performed have led us to decide that the introduced algorithm is characterized by a large space of key security, sensitivity to the secret key, few coefficients of correlation, a high contrast, and accepted information of entropy. In addition, the results obtained in experiments show that our proposed algorithm resists statistical, differential, brute-force, and noise attacks.

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