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The image encryption algorithm based on chaos and DNA computing

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Abstract

The existing DNA based image cryptosystems, their DNA coding scheme just employs four DNA symbols, namely A, T, C and G, to represent the four binary two-tuples, namely 00b, 01b, 10b and 11b, respectively. And the used DNA computing algorithms, such as DNA addition and subtraction, are essentially the binary modulo 2 addition and XOR operations without any meanings of genetic engineering, which cannot apply to the DNA computer for processing. So, this paper discussed the DNA coding of image and proposed a new DNA join operation. And the complementary operation of DNA code instead of the complementary operation of binary number is used in the proposed. The piecewise linear chaotic map was employed to generate the key stream. Then, a new DNA based image cryptosystem including two rounds of DNA diffusion and DNA confusion was proposed, which can be rapidly implemented in the DNA computer. The image cryptosystem was simulated with an electronic computer, and the results show that the proposed system possesses the characteristics of large key space, good statistical properties of cipher images, high sensitivities of key and plain images and big information entropy. Therefore, the proposed image cryptosystem is a candidate for the future secure communication application to the DNA computer.

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Acknowledgements

This work was fully supported by the National Natural Science Foundation of China (Grant Nos. 61762043 and 61562035), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20161BAB202058), and the Science and Technology Project of Education Department of Jiangxi Province, China (Grant No. GJJ160426).

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  1. School of Software and Communication Engineering, Jiangxi University of Finance and Economics, Nanchang, People’s Republic of China

    Yong Zhang

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  1. Yong Zhang
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Zhang, Y. The image encryption algorithm based on chaos and DNA computing. Multimed Tools Appl 77, 21589–21615 (2018). https://doi.org/10.1007/s11042-017-5585-x

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  • DOI: https://doi.org/10.1007/s11042-017-5585-x

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