2018
DOI: 10.18201/ijisae.2018637935
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An Efficient Image Encryption Algorithm for the Period of Arnold s CAT Map

Abstract: Arnold's CAT Map (ACM) is a chaotic transformation of the 2-dimensional toral automorphism T 2 defined by the mapping Γ ∶ T 2 → T 2 . There are many applications of ACM in various research areas such as: steganography, encryption of images, texts and watermarks. The transformation of an image is achieved by the randomized order of pixels. After a finite number of repetitions of the transformation, the original image reappears. In this study, encryption of two images is demonstrated together with a proposed alg… Show more

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Cited by 5 publications
(5 citation statements)
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References 10 publications
(11 reference statements)
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“…However, there is no correlation between the number of steps and the growth of n. The proposed approach was implemented on 512 × 512 pictures with a period of 384. According to [34] research, Arnold's Cat Map image encryption can be performed efficiently. n has no effect on raising the encryption's complexity.…”
Section: Discussionmentioning
confidence: 99%
“…However, there is no correlation between the number of steps and the growth of n. The proposed approach was implemented on 512 × 512 pictures with a period of 384. According to [34] research, Arnold's Cat Map image encryption can be performed efficiently. n has no effect on raising the encryption's complexity.…”
Section: Discussionmentioning
confidence: 99%
“…The encryption technique is implemented by a cat map iteration; after M iterations, there are T positive integers such that (Xn+1, Yn+1)=(Xn, Yn). The parameters A and B, in addition to the sample matrix size (N×N matrix), specify the time T [33,34].…”
Section: Arnold Cat Mapmentioning
confidence: 99%
“…There has been several research on permutation [17], [18]. A study used the ACM which was combined with the Fibonacci series [17].…”
Section: Face Recognition Encryption Trendmentioning
confidence: 99%
“…There has been several research on permutation [17], [18]. A study used the ACM which was combined with the Fibonacci series [17]. It utilized ACM to randomize plain images and modify field diffusion during the period of usability.…”
Section: Face Recognition Encryption Trendmentioning
confidence: 99%