A fractal-based image encryption system


This study introduces a novel image encryption system based on diffusion and confusion processes in which the image information is hidden inside the complex details of fractal images. A simplified encryption technique is, first, presented using a single-fractal image and statistical analysis is performed. A general encryption system utilising multiple fractal images is, then, introduced to improve the performance and increase the encryption key up to hundreds of bits. This improvement is achieved through several parameters: feedback delay, multiplexing and independent horizontal or vertical shifts. The effect of each parameter is studied separately and, then, they are combined to illustrate their influence on the encryption quality. The encryption quality is evaluated using different analysis techniques such as correlation coefficients, differential attack measures, histogram distributions, key sensitivity analysis and the National Institute of Standards and Technology (NIST) statistical test suite. The obtained results show great potential compared to other techniques. © The Institution of Engineering and Technology 2014.


Abd-El-Hafiz S.K., Radwan A.G., Abdel Haleem S.H., Barakat M.L.


Fractals; Image enhancement; Quality control; Security of data; Sensitivity analysis; Correlation coefficient; Different analysis techniques; Differential attacks; Encryption quality; Encryption technique; Image information; Multiple fractals; National Institute of Standards and Technology; Cryptography

Document Type



IET Image Processing, Vol. 8, PP. 742 to 752, Doi: 10.1049/iet-ipr.2013.0570

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