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Image Encryption Algorithm Based on Chaotic Economic Model

Author

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  • S. S. Askar
  • A. A. Karawia
  • Ahmad Alshamrani

Abstract

In literature, chaotic economic systems have got much attention because of their complex dynamic behaviors such as bifurcation and chaos. Recently, a few researches on the usage of these systems in cryptographic algorithms have been conducted. In this paper, a new image encryption algorithm based on a chaotic economic map is proposed. An implementation of the proposed algorithm on a plain image based on the chaotic map is performed. The obtained results show that the proposed algorithm can successfully encrypt and decrypt the images with the same security keys. The security analysis is encouraging and shows that the encrypted images have good information entropy and very low correlation coefficients and the distribution of the gray values of the encrypted image has random-like behavior.

Suggested Citation

  • S. S. Askar & A. A. Karawia & Ahmad Alshamrani, 2015. "Image Encryption Algorithm Based on Chaotic Economic Model," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, January.
    • Handle: RePEc:hin:jnlmpe:341729
    DOI: 10.1155/2015/341729
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    Cited by:

    1. Sameh Askar & Ahmad Alshamrani & Aesha Elghandour & Abdelrahman Karawia, 2023. "An Image-Encipherment Algorithm Using a Combination of a One-Dimensional Chaotic Map and a Three-Dimensional Piecewise Chaotic Map," Mathematics, MDPI, vol. 11(2), pages 1-19, January.

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