An Image Encryption Algorithm Based on the Sn Permutation Group and Chaotic Functions

Document Type : Original Article

Author

Department of Computer Science, University of Khansar, Khansar, Iran

Abstract

In this paper, an image encryption algorithm is proposed based on the Sn permutation group and chaotic functions. The proposed algorithm consists of three steps. In the first step, by applying the hash functions to the plain image information and using the 256-bit external key, a 256-bit secret key is extracted and used to calculate the initial values and parameters of the chaotic functions. In the second step known as the        confusion step, the pixel positions of the plain image are rearranged using a row and column level          permutation based on the chaotic functions, such that the correlation between adjacent pixels of the plain image is significantly reduced.  In the third step or the diffusion step, the gray value of each pixel is changed based on a bit level permutation using the S8 permutation group and the chaotic functions.       Finally, by applying the bit level transform using the S8Sbox and XOR operation, the security of the       proposed image encryption algorithm is increased. The experimental results and security analysis show that the NPCR is , the UACI is , entropy is  and the correlation coefficients of the encrypted images are close to 0. Also, the proposed image encryption algorithm has high resistance against common attacks such as the exhaustive search, cropping and noise attacks.
 

Keywords


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Volume 8, Issue 3 - Serial Number 31
November 2020
Pages 139-150
  • Receive Date: 15 November 2019
  • Revise Date: 25 December 2019
  • Accept Date: 01 February 2020
  • Publish Date: 22 October 2020