A New Image Encryption Scheme Based on a Novel One-Dimensional Chaotic System

Abstract

This paper introduces a novel one-dimensional sine chaotic system (1DSCS) with large parameter interval. The evaluation of 1DSCS indicates that the system has good chaotic characteristics and large parameters space. Based on 1DSCS, a new image encryption scheme is proposed. First, the image is scrambled by the row and column indexes, and then scrambled by the dynamic parameters Arnold map. This scheme avoids the inadequacy of row-column index scrambling and the periodicity of Arnold map. Second, four highly sensitive dynamic diffusion formulas related to plaintext are designed, and the dynamic formulas are selected through the chaotic sequence generated by 1DSCS. Third, the scheme proposed in this paper can also be applied to color image encryption. The experimental results demonstrate that the 1DSCS system is suitable for image encryption and the encryption scheme has good security to resist common attacks.

Review of Image Security approaches: Concepts, Issues, Challenges and Applications

“…In research work [7], a one-dimensional chaotic system (1DSCS) having good chaotic characteristics and large parameters space is introduced and based on the same an image encryption scheme is discussed and tested. This 1DSCS is used to generate chaotic sequence.…”

“…• NPCR [1,[4][5][6][7][8][9][10][11][12][13][14][15][17][18][19]: For better decryption algorithm NPCR value should be low. • UACI [1,[4][5][6][7][8][9][10][11][12][13][14][15][17][18][19]: For good decrypted image quality UACI value should be low. • PSNR [5,6,10,13,14,17,18]: The larger the PSNR value, the more similar the decrypted image is to the original image.…”

“…4. Correlation Coefficients [1,[4][5][6][7][8][9][10][11][12][13][14][15][17][18][19]: For a plain image, each pixel is highly correlated with its neighbor and adjacent pixels either in horizontal, vertical or diagonal direction. However, an efficient image cryptosystem should produce the cipher image with sufficiently low correlation (close to zero) in the adjacent pixels.…”

“…10. Time Complexity (or Time Analysis or Computational Complexity) [5,7,10,14,18]: Estimate the time complexity in each step of the encryption process to evaluate proposed algorithm's total time complexity. 11.…”

“…11. Contrast Analysis [7,17]: Contrast has to do with the difference in the brightness of an object. To test contrast, a contrast analysis is performed enabling users to see objects and identify information beneath.…”