Image encryption method based on fractional order Lorenz chaotic system, and storage medium

A chaotic system and encryption method technology, applied in the field of image processing, can solve the problems of unsatisfactory encryption processing effect, unsatisfactory sequence correlation, local monotonicity, etc., and achieve complex dynamic characteristics, strong pseudo-randomness and unpredictability Sexuality, strong anti-aggression effect

Pending Publication Date: 2022-02-08
新疆理工学院
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Problems solved by technology

With people's continuous in-depth research on the Lorenz system, the Lorenz system has been applied to image encryption. At the same time, it is also found that there are some defects in the Lorenz chaotic se...

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  • Image encryption method based on fractional order Lorenz chaotic system, and storage medium
  • Image encryption method based on fractional order Lorenz chaotic system, and storage medium
  • Image encryption method based on fractional order Lorenz chaotic system, and storage medium

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Embodiment 1

[0052]The present invention provides a kind of image encryption method based on fractional order Lorenz chaotic system, specifically as figure 1 shown, including the following steps:

[0053] Step 1. Construct the fractional order Lorenz chaotic system and generate three chaotic sequences; the Lorenz chaotic system is three-dimensional, so it will generate three chaotic sequences. After the initial value is given, the Runge-Kutta method can be used to generate sequences.

[0054] Specifically, the fractional order Lorenz chaotic system constructed in this embodiment is:

[0055]

[0056] In the formula, α is the order of the system, a, b, and c are the control parameters, x, y, and z are the three chaotic sequences of the system (that is, state variables), and t is time. The selection of control parameters will affect whether the system generates chaos Behavior.

[0057] Further, the construction of the fractional order Lorenz chaotic system in this embodiment is based on...

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Abstract

The invention provides an image encryption method based on a fractional order Lorenz chaotic system, and a storage medium, belonging to the field of image processing. The method comprises the following steps: constructing the fractional order Lorenz chaotic system, and generating three chaotic sequences; scrambling the pixel position of a to-be-encrypted image P by using any two chaotic sequences; and performing chaotic encryption on a scrambled image pixel value by taking fragment combinations in the three chaotic sequences. According to the invention, the chaotic sequence generated by a new system is utilized to encrypt a gray level image, and an analysis result shows that a new fractional order system has more advantages in application in related fields such as image encryption and communication secrecy, and has more complex dynamic characteristics, stronger pseudo-randomness and unpredictability, strong attack resistance, larger parameter space and higher safety.

Description

technical field [0001] The invention belongs to the field of image processing, and in particular relates to an image encryption method and a storage medium based on a fractional Lorenz chaotic system. Background technique [0002] With the improvement of the scientific level, computer technology and network technology are emerging disciplines, and various technologies are studied and used. Digital image technology, as a carrier of multimedia information, has the advantages of large amount of information, vivid performance, and intuition. Digital image information It is widely spread on the Internet and is vulnerable to a large number of malicious attacks. Therefore, the security of image information becomes particularly important, which promotes the rapid development of image encryption technology, and image encryption is one of the main means to protect image information. [0003] Traditional image encryption methods such as Data Encryption Standard (DES), International Da...

Claims

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Application Information

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IPC IPC(8): G06T1/00G06N7/08
CPCG06T1/0021G06N7/08
Inventor 苗瑾超郭勤张淑萍贾倩刘超陈蒙
Owner 新疆理工学院
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