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An Image Encryption Method Based on Quantum Chaotic Map and Fractional Domain Transformation

A technology of chaotic mapping and encryption method, which is applied in the direction of digital data protection, etc., can solve the problems of insufficient smoothness of the histogram, poor pseudo-randomness, and good scrambling effect, so as to achieve not easy to attack and crack, enhanced encryption complexity, and good encryption effect Effect

Inactive Publication Date: 2020-04-17
GUANGDONG UNIV OF TECH
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  • Abstract
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  • Claims
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Problems solved by technology

[0004] The object of the present invention is to overcome the shortcomings and deficiencies of the prior art, provide a kind of image encryption method based on quantum chaotic mapping and fractional field transformation, overcome the shortcoming that the histogram is not smooth enough after the traditional fractional Fourier transformation, the method of the present invention introduces Quantum chaotic mapping effectively avoids the problems of poor pseudo-randomness, high computational complexity, and few control parameters in traditional chaotic systems. At the same time, it combines chaotic systems with fractional Fourier transforms to realize fractional domain settings between the space domain and the frequency domain. Chaos, the effect of scrambling is good, avoiding the problem that can be easily cracked

Method used

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  • An Image Encryption Method Based on Quantum Chaotic Map and Fractional Domain Transformation
  • An Image Encryption Method Based on Quantum Chaotic Map and Fractional Domain Transformation
  • An Image Encryption Method Based on Quantum Chaotic Map and Fractional Domain Transformation

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Embodiment

[0036] The inventive method selects classic lena (256 * 256) grayscale image (as figure 1 ) as the experimental test simulation object. The image encryption method is carried out in the matlab2016a environment, and the encryption workflow is shown in the figure. The key data used in the experiment are as follows: initial value of Henon map x0=0.32658698, y0=0.26853267, control parameters a=1.4, b=0.3, initial value of quantum Logistic chaos map

[0037] x' 0 =0.46983651,y' 0 =0.002659835123, z' 0 = 0.002658789456, r = 3.9, β = 3.5, Bernoulli mapping parameter c = 1.4.

[0038] Step 1: Open the original lena (256×256) grayscale bmp image, and read the pixel values ​​of each point in the image sequentially from left to right to obtain the pixel matrix Q of the original image. Since the height and width of the image are equal, it is assumed that the height and width are represented by M.

[0039] Step 2: Use Henon mapping to generate two M×M chaotic sequences as X={x k |k=...

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Abstract

The invention discloses an image encryption method based on quantum chaotic mapping and fractional domain transformation. The method comprises the steps of firstly carrying out iterative scrambling on pixel points by use of Henon mapping; then multiplying a scrambled matrix and a row scrambling matrix to carry out x-direction and alpha-order DFRFT ((Discrete Fractional Fourier Transform); multiplying the transformed matrix and a column scrambling matrix to carry out y-direction and beta-order DFRFT; and finally carrying out a diffusion encryption operation on the transformed matrix by use of quantum Logistic chaotic mapping. According to the method, the defects of few parametric variables, simple system structure, pseudorandom and poor aperiodicity caused by the single use of a certain scheme such as spatial domain, transform domain and chaotic system in conventional methods are overcome, and experiment and simulation results show that the method has the safety higher than that of the conventional encryption method.

Description

technical field [0001] The invention relates to the field of chaotic communication security, in particular to an image encryption method based on quantum chaotic mapping and fractional field transformation. Background technique [0002] With the rapid development of network communication and computer technology, images, as an important carrier of information, are widely used in various fields due to their rich information and strong intuitiveness. The security and confidentiality technology of image transmission has aroused people's close attention. Exploring an efficient and secure image encryption method has become an important topic of research by scholars. [0003] The chaotic system has excellent cryptographic characteristics such as initial value sensitivity and pseudo-randomness. Based on this, scholars have proposed some chaotic image encryption methods. The commonly used classic ideas of image encryption mainly include the following three types: based on image pi...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F21/60
CPCG06F21/60
Inventor 谢国波邓华军
Owner GUANGDONG UNIV OF TECH
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