Abstract
Recently, many encryption algorithms based on fractional-order chaotic system have been proposed to solve the problem of image encryption. In this paper, we propose a novel color image compression-encryption algorithm based on fractional-order hyperchaotic system and DNA coding. In the data compression stage, the data of R, G, and B channels of the color image are converted to the frequency domain by two-dimensional discrete cosine transform (DCT), and then the amount of encrypted data is reduced by the quantization process. We design a data processing algorithm to ensure that the data after DCT is compatible with DNA coding data format. In the encryption stage, the processes of DNA encoding and decoding, DNA operation, and pixel scrambling are all controlled by the corresponding chaotic sequences, which are generated by the chaotic system. The original image is used to calculate the initial state of the chaotic system, which improves the performance of the algorithm against the chosen-plaintext attack significantly. Experimental results and security analysis illustrate that the proposed algorithm has excellent compression and security performance. It can not only reconstruct the original image well under the condition of low compression ratio, but also provide high security to resist various attacks. Besides, experimental results also indicate that the algorithm proposed can be applied to the fields of color image compression, encryption, and transmission.
Highlights
One of the important signs of the information age is that people can realize information sharing without the limitation of time and space
The results of the two indexes are listed in Table.13, which can be seen that the number of pixels change rate (NPCR) and unified average changing intensity (UACI) indexes of the encrypted image are very close to the ideal values, so it shows that the encryption algorithm can well resist the differential attack
In this paper, we proposed a novel color image compressionencryption algorithm based on the fractional-order hyperchaotic system combined with discrete cosine transform (DCT) and DNA coding
Summary
One of the important signs of the information age is that people can realize information sharing without the limitation of time and space. The image encryption algorithm designed by high-dimensional chaotic system improves its security performance greatly, it is not involved in image compression. Yang et al designed an image compression-encryption scheme based on fractional-order hyperchaotic systems combined with 2D compressed sensing and DNA encoding [49]. In [58], the authors proposed an image compression-encryption scheme based on set partitioning in hierarchical trees coding-decoding algorithm and synchronization of chaotic maps with non-integer order. We give the calculation process of using the Adomain algorithm to solve the fractional-order hyperchaotic Chen system in detail, and take the initial state of the fractional chaotic system as the key, which greatly improves the key space of the system.
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