An Efficient Secure Image Encryption Algorithm Based on Total Shuffling, Integer Chaotic Maps and Median Filter

EasyChair Preprint 5028

Abstract

Developing a secure image cryptographic algorithm that can be implemented in devices with different hardware structures has remained a problematic issue, particularly for the real time applications. In this paper, we introduce two integer versions of chaotic maps, namely the quadratic chaotic map which is used to generate the paremeters of the system and an integer version of Chebyshev chaotic maps which is used to generate permutations and chaotic sequences of integers. The algorithm applies many rounds, each contains a confusion and a diffusion step in which a permutation is used to shuffle the pixels' locations and the chaotic sequence is used to change the pixels' densities. The proposed method is tested against many security measurements and some kinds of attacks for five standard images. It showed better performance over recent methods from the literature. The paper moreover discusses the performance of the decryption algorithm against the salt \& pepper and crop attacks on the cipher image. We found that the decipher image is seriously affected by high levels of noise or crop attacks. To overcome the limitations of the decryption algorithm at high levels of attacks, we proved first that the crop attack has same distribution as the salt & pepper noise attack. Then, an enhancement technique based on the use of median filter is proposed to reduce the effect of the attacks. Simulations showed that the enhancement decryption algorithm can double the image quality in terms of the PSNR.

Keyphrases: Image encryption, Key Sensitivity, Median Filter, Salt and pepper attack, chaotic maps, crop attack

@booklet{EasyChair:5028,
  author    = {Eihab Bashier and Taoufik Ben Jabeur},
  title     = {An Efficient Secure Image Encryption Algorithm Based on Total Shuffling, Integer Chaotic Maps and Median Filter},
  howpublished = {EasyChair Preprint 5028},
  year      = {EasyChair, 2021}}