Image encryption and decryption method based on novel two-dimensional fractional order chaotic mapping

A chaotic mapping, fractional-order technology, applied in image communication, digital transmission systems, electrical components, etc., can solve the problems of low encryption complexity, small key space, and low randomness of encryption technology, and achieve excellent resistance to cryptanalysis. , the effect of high complexity and large key space

Active Publication Date: 2022-04-26
NORTHWEST A & F UNIV
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Problems solved by technology

[0005] Existing mappings using TFCDM Encryption technology has disadvantages such as low encryption complexity, low randomness, small key space, and easy to be broken.

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  • Image encryption and decryption method based on novel two-dimensional fractional order chaotic mapping
  • Image encryption and decryption method based on novel two-dimensional fractional order chaotic mapping
  • Image encryption and decryption method based on novel two-dimensional fractional order chaotic mapping

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Embodiment Construction

[0029] see Figure 1-5 , an image encryption and decryption method based on a novel two-dimensional fractional chaotic map, the steps are as follows: In order to achieve the above-mentioned purpose of the invention, the present invention adopts the following technical solutions:

[0030] S1, generate fractional order chaotic signal:

[0031] Use fractional TFCDM mapping:

[0032]

[0033] Using fractional order ν, chaotic coefficients a, b, and initial values ​​x(0), y(0) as secret keys,

[0034] Equation (1) is iterated MN-1 times (n=MN-1 in this embodiment) to generate a set of fractional order chaotic signal sequences x(1), x(2), ... x(MN). Here M and N are the length and width of the original image V, respectively.

[0035] S2. Using the fractional chaotic signal to scramble the original image:

[0036] Use the bubble sort method to reorder the chaotic signal sequence x(k), (k=1, 2, ..., MN), so that we get x'(k), then record the subscript change of x(k) and Stored...

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Abstract

The invention discloses an image encryption and decryption method based on novel two-dimensional fractional order chaotic mapping, and the method is characterized in that during encryption, S1, a fractional order chaotic signal is generated; s2, scrambling the original image by using the fractional order chaotic signal; s3, selecting a secret key image, and encrypting the scrambled image pixel value by using the fractional order chaotic signal and the secret key image; during decryption, I, the pixel value of the encrypted image is decrypted by using the chaotic signal sequence and the secret key image; and II, recovering the pixel position of the encrypted image by using the chaotic signal sequence. Fractional order two-dimensional TFCDM chaotic mapping is used for generating a chaotic sequence, then discrete chaotic signals are used for scrambling image pixels and diffusing pixel values for encryption, the discrete chaotic signals generated by a new mapping formula are more complex in structure and higher in randomness, the complexity of an encryption algorithm is higher, the fractional order is added as a secret key, and the encryption efficiency is improved. The algorithm has the advantages of larger key space, higher attack resistance and higher security.

Description

technical field [0001] The invention belongs to the technical field of image encryption and decryption, and relates to an image encryption algorithm based on a novel two-dimensional fractional order chaotic map, which is applied in the technical fields of secure communication and information hiding. Background technique [0002] Color digital images are common multimedia information, and since video can be synthesized from color images, the protection of color digital image information is particularly important. [0003] Chaotic signals have the characteristics of initial value sensitivity, region ergodicity, and pseudo-randomness. These characteristics of chaotic systems are similar to the basic requirements in cryptography. Discrete chaotic systems are also widely used in image encryption and decryption, image watermark embedding and other fields. Chaotic signals are often used to design cryptographic algorithms. [0004] Recently, Liu Zeyu, Xia Tiecheng and Wang Jinbo r...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04N1/32H04N1/44H04L9/00
CPCH04N1/32272H04N1/44H04L9/001Y02D30/50
Inventor 刘泽宇
Owner NORTHWEST A & F UNIV
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